4 – 14 = 5x

solve and explain

Answers

Answer 1

Answer:

x = - 2

Step-by-step explanation:

Given

4 - 14 = 5x , simplify left side

- 10 = 5x ( isolate x by dividing both sides by 5 )

- 2 = x


Related Questions

What is a+4+3+h+3+4+333+f=f+3+333h
solve and i will make you Brianlyest

Answers

Answer:

a + h + f + 344 = 2f +3 + 333h

Step-by-step explanation:

(Even though that equation has no sense that is what you would get.)

Answer:

Step-by-step explanation:

h =1                  86

---------- Sa + ------------

332 .                83

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
2bx – bx = -8

Answers

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

A regression of yt on xt was conducted and an ADF test on the estimated residuals was performed. The ADF test statistic was found to be -3.10. The Engle-Granger 5% critical value is -3.398 and the ADF 5% critical value -2.86. On the basis of this information, you:
Select one:
a. Do not reject the null hypothesis of no cointegration at the 5% level because -3.398 < -3.10
b. Reject the null hypothesis of no cointegration at the 5% level because - 3.10 < -2.86
c. Reject the null hypothesis of cointegration at the 5% level because -3.398 < -2.86
d. None of these
e. Reject the null hypothesis of no cointegration at the 5% level because -3.398 < -2.86

Answers

The correct answer is:

b. Reject the null hypothesis of no cointegration at the 5% level because -3.10 < -2.86

In the given scenario, the ADF test statistic (-3.10) is compared to the ADF 5% critical value (-2.86). If the test statistic is more negative (i.e., lower) than the critical value, it provides evidence to reject the null hypothesis of no cointegration.

Since -3.10 is smaller than -2.86, we can conclude that the estimated residuals from the regression exhibit cointegration at the 5% level. Thus, we reject the null hypothesis of no cointegration.

The other critical value (-3.398) mentioned (Engle-Granger) is not relevant for this decision as it pertains to a different test.

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ex 17. Determine whether each of these conditional statements is true or false. a) If1 + 1 = 2, then 2 + 2 = 5. b) If1 +1= 3, then 2 + 2 = 4. c) If 1+1=3, then 2 + 2 = 5. d) If monkeys can fly, then 1 + 1 = 3.

Answers

a)  False - The consequent (2 + 2 = 5) does not hold true when the condition (1 + 1 = 2) is satisfied.

b)  False - Neither the condition (1 + 1 = 3) nor the consequent (2 + 2 = 4) is true.

c)  False - The consequent (2 + 2 = 5) does not follow when the condition (1 + 1 = 3) is met.

d)  True - Since the condition (monkeys can fly) is false, the statement (1 + 1 = 3) holds true due to the structure of the conditional statement.

In the given conditional statements, we need to determine whether each statement is true or false based on the provided conditions.

a) If 1 + 1 = 2, then 2 + 2 = 5. This statement is false because the initial condition (1 + 1 = 2) is true, but the consequent (2 + 2 = 5) is false. In mathematics, if the condition is true, the consequent should also be true, but in this case, it is not.

b) If 1 + 1 = 3, then 2 + 2 = 4. This statement is false because both the condition (1 + 1 = 3) and the consequent (2 + 2 = 4) are false. The initial condition is not satisfied, so the statement cannot be true.

c) If 1 + 1 = 3, then 2 + 2 = 5. This statement is false for the same reason as statement a) - the initial condition is true, but the consequent is false.

d) If monkeys can fly, then 1 + 1 = 3. This statement is true because it follows the structure of a conditional statement where the condition (monkeys can fly) is false, and therefore the statement is always true.

In summary, statement a), b), and c) are false, while statement d) is true.

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For the circle centered at the origin with radius 4 and equation x^2+y^2=16 find dx/dt.

Answers

dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.

What is implicit differentiation?

The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.

Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.

Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.

So, the dx/dt will be:

The circle's equation is: x² + y² = 16

Assuming that x = 2, then:

2² + y²   = 16

y² = 12

y = ±√12

Hence, the first quadrant is positive:

y = √12

y = 2√3

When implicit differentiation is used, we get that:

2x dx/dt + 2y dy/dt = 16

If fracdydt = -3, as is the case, then

2(2) dx/dt - 12√3 = 16

4 dx/dt = 16 + 12√3

dx/dt = 16+12√3/4

dx/dt = 4+3√3

Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.

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which of the following is the equation of the line that creates the x-axis?
(1) y=0
(3) y=x
(2) X=0
(4) y=x+1

Answers

(3) y=x




Explaination:

The equation of the line that creates the x-axis will be y = 0. Then the correct option is A.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line with the x-axis will be zero. Then the equation is given as,

y = (0)x + c

y = c

The x-axis is passing through the origin (0, 0), then the value of the variable 'c' is given as,

0 = c

Then the equation is written as,

y = 0

The equation of the line that creates the x-axis will be y = 0. Then the correct option is A.

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can you make a square with 24 tiles? Why or Why not?

Answers

Answer:

Step-by-step explanation:

can you make a square with 24 tiles? Why or Why not?

Answer:

  yes

Step-by-step explanation:

You want to know if 24 tiles can be used to make a square.

Aspect ratio

24 tiles can be made into rectangles of different aspect ratios:

  1 × 24

  2 × 12

  3 × 8

  4 × 6

If the aspect ratio of a tile matches any of these, then 24 tiles can be used to make a square.

For example, a 2×3 tile shape can be arranged in rows of 6 tiles along the "2" dimension and 4 tiles along the "3" dimension. Then the total side length in each case is ...

  6×2 = 12 = 4×3

and the resulting figure is a square.

Hole in the middle

24 square tiles can be arranged in a 5×5 array with a missing tile in the middle spot. That array will be square.

Similarly, they can be arranged in a square outline that has 7 tiles on each side (5 between the corner tiles).

24 square tiles cannot be used to make a solid square. For that, you need a square number of tiles.

3 5x + 6y = 32
12y - 4x = 8

Answers

Answer:

Step-by-step explanation: (x,y) (4,2)

the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?​

Answers

Answer:

The numbers are \(2,12,168\)

Step-by-step explanation:

Let the numbers be \(a,b,c\)

We have

The sum of three numbers is \(182\)

\(a+b+c=182-----eqn1\)

The second is \(6\) times bigger than the first

\(b=6a-----eqn2\)

The third is \(14\) times bigger than the second number

\(c=14b-------eqn3\)

Substituting in eqn 3

\(c=14\times 6a=84a ----eqn4\)

Substituting in eqn 1

\(a+6a+84a=182\\\\91a=182\\\\a=2\)

Substituting in eqn 2

\(b=6\times2=12\)

Substituting in eqn 3

\(c=14\times12=168\)

The numbers are \(2,12,168\)

The first number is a , the second number is b , the third number is c

( 0 < a < b < c )

The sum of three numbers is 182

⇒ a + b + c = 182    (1)

The second is 6 times bigger than the first

⇒ b = 6a                 (2)

The third is 14 times bigger than the second number

⇒ c = 14b = 14.6a = 84a               (3)

(1),(2),(3): ⇒ a + 6a + 84a = 182

              ⇒ 91a = 182

              ⇒ a = 2

              ⇒ b = 6a = 6.2 = 12

              ⇒ c = 14b = 14.12 = 168

Those numbers are 2 , 12 , 168

ok done. Thank to me :>

Segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
If segment MN passes through the center, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
Segment MN lies on a plane that intersects the center of a sphere. The intersection between the sphere and the plane is the BLANK ( options : diameter, great circle, radius, tangent)

Please help me out! Math 3 Q4

Answers

The intersection between the sphere and the plane is the is diameter.

What is a sphere?

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.

Given that, segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere.

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

So, the most specific name for segment MN is chord.

Here, segment MN lies on a plane that intersects the center of a sphere.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Therefore, the intersection between the sphere and the plane is the is diameter.

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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
The table compares the wrestler's weight (in kilograms) and the time since he started his diet (in months).

A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant

Answers

The wrestler's weight before he went on his diet is 78 kg

How to find the y-intercept?

The formula for slope is;

m = (y2 - y1)/(x2 - x1)

Thus, using two points we have;

m = (93.6 - 85.8)/(3 - 1.5)

m = 5.2

At the start of his diet, time in months = 0 months and so x = 0. Thus;

5.2 = (85.8 - y0)/(1.5 - 0)

5.2 * 1.5 = 85.8 - y0

y0 = 85.8 - (5.2 * 1.5)

y0 = 85.8 - 7.8

y0 = 78 kg

Thus, the wrestler's weight before he went on his diet is 78 kg

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what two steps are necessary to put this equation into standard form?
x^2-3 x 27=8 x-3x 2 −3x 27=8x−3

A. Add 3 to both sides and substract 8x from both sides
B. The equation is already in standard from
C. Substract 3 from sides and substract 8x from both sides
D. Add 3 to both sides and add 8x from both sides

Answers

The two necessary steps to put this equation into standard form is A) Add 3 to both sides and subtract 8x from both sides.

To put the equation x² - 3x + 27 = 8x - 3 into standard form, the two necessary steps are:

A. Add 3x to both sides: By adding 3 to both sides of the equation, we eliminate the constant term -3 on the right side and move it to the left side.

x² - 3x + 3x + 27 = 8x - 3 + 3x

x² + 27 = 11x

B. Subtract 11x from both sides:  By subtracting 8x from both sides of the equation, we eliminate the term 8x on the right side and move it to the left side.

x² + 27 - 11x = 11x - 11x

x² - 11x + 27 = 0

Therefore, the equation in standard form is x² - 11x + 27 = 0. Therefore, the correct answer is option A.

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Which table shows a positive correlation? y 5 1 2 3 H 1 224 LO 1091010 5 O 55 45 y 10 18 31 37 52 X 1 2 3 4 5 LO о y 24 15 13 9 6 I 8 8 8 8 00 8 O 9 12 17 21 22​

Answers

Answer:

Step-by-step explanation:

The table that shows a positive correlation is the first one:

y | 5 1 2 3

H | 1 2 2 4

In this table, we can see that as the values of y increase, the values of H also increase. Therefore, there is a positive correlation between y and H.

In the second table, we can also see a positive trend in the values of y and X. However, the trend is not consistent, as there is a jump from y = 18 to y = 31, and from y = 31 to y = 37. This suggests that there may be other factors influencing the relationship between y and X.

In the third table, we can see a negative correlation between y and LO, as the values of y decrease from 24 to 6, the values of LO also decrease.

Therefore, the first table shows a clear and consistent positive correlation between y and H.

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Answer:

the answer is graph B

Step-by-step explanation:

person up top is wrong.

Identify the correct weight pounds and ounces.

Answers

The correct weight to the nearest 1/8 pound is 2 4/16 = 2 1/4 lb

How can the weight be identified?

Based on the provided fiqure, it can be seen that  pointer is 4 of the smallest units above 2 and as we can see, 16 of those small units are there .

It should be noted that Each 2 of  the given units is been expressed as 1/8 pound,  hen we can see that as the pointer base on the multiple of 2 units,  then we can say it base on the multiple of 1/8 pound. Then the 2 4/16 = 2 1/4 lb

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Identify the correct weight pounds and ounces.

WILL GIVE BRAINLIEST!!!!!!!!!
How do you find the surface area of a triangular prism?

Answers

Answer:

Step-by-step explanation:

To find the surface area of a triangular prism, you need to calculate the areas of its individual faces and add them together. A triangular prism has five faces: two triangular bases and three rectangular lateral faces.

Here's how you can calculate the surface area step by step:

1.Calculate the area of one of the triangular bases:

Measure the length of the base of the triangle (b).

Measure the height of the triangle (h).

Use the formula for the area of a triangle: A = (1/2) * b * h.

Multiply the result by 2 since there are two triangular bases.

2.

Calculate the area of each of the three rectangular lateral faces:

Measure the length of one side of the triangle (a).

Measure the height of the triangle (h).

Multiply the length (a) by the height (h) to find the area of each rectangular face.

Sum up the areas of all three rectangular faces.

3.Add the areas of the two triangular bases and the three rectangular lateral faces to get the total surface area of the triangular prism.

The formula for the surface area (SA) of a triangular prism is:

SA = 2 * A_base + 3 * A_lateral

Where:

A_base is the area of one triangular base.

A_lateral is the combined area of the three rectangular lateral faces.

By following these steps and using the appropriate measurements, you can determine the surface area of a triangular prism.

can someone please help for brainlest

can someone please help for brainlest

Answers

Answer:125√3:6

Step-by-step explanation:

Order the numbers from least to greatest. Put the lowest number on the left. 1 0.359 0.35​

Answers

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.35 would be 0.350 meaning its less than 0.359

find the missing side length. Round to the nearest tenth if necessary.

find the missing side length. Round to the nearest tenth if necessary.

Answers

find the missing side length. Round to the nearest tenth if necessary.

 find the missing side length. Round to the nearest tenth if necessary.

find the missing side length. Round to the nearest tenth if necessary.

To determine the number of trout in a lake, a conservationist catches 132 trout, tags them and throws them back
into the lake. Later, 39 trout are caught; 13 of them are tagged. How many trout would the conservationist expect
to be in the lake?

Someone pls help me

Answers

Answer:

boo

Step-by-step explanation:

Pls help will mark Brainly est pls help

Pls help will mark Brainly est pls help

Answers

Step-by-step explanation:

We can find the other point using the axis of symmetry.

The axis of symmetry for a parabola passes through the x coordinate of the vertex.

So our axis of symmetry is x=4, which is a vertical line.

For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.

So,

If we know (0,-6) and the vertex is 4, let's find the other point

\(( \frac{0 + b}{2} = 4\)

\(b = 8\)

So our other point is

(8,-6).

So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)

To find q, q(x) has the same vertex, so it is (4,10).

We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)

Using the axis of symmetry we will get (8,18).

So the graphs above are the graphs of p and q

The graph facing upwards is q

The graph facing downwards is p.

For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.

I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.

Else, of the other coordinates have a lower y value, the vertex is a maximum.

Pls help will mark Brainly est pls help
Pls help will mark Brainly est pls help

The supplement of an angle is 129 what is the measure of the angle

Answers

Answer:

51

Step-by-step explanation:

which of the following statistics determines whether there are differences between two nominally scaled variables?

Answers

The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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place the numbers 2 , 6 , 7 , 8 , and 9 in the circles so that the sums across (horizontally) and down (vertically) are equal. which number will you place in the middle?

Answers

The number 7 will be placed in the middle circle.

To place the numbers 2, 6, 7, 8, and 9 in the circles so that the sums across and down are equal, you can use the following method:

1. Place the median number (7) in the middle circle.

2. Place the two smallest numbers (2 and 6) on either side of the median number.

3. Place the two largest numbers (8 and 9) in the top and bottom circles.

Here is a list of them. Each group of three numbers makes up a side of the triangle. Of course, within a side you can replace round numbers that are not on a corner, but that does not really give any new solutions.

So, the final arrangement would be:

6 2 7

9 8 7

6 2 7

Therefore, the number 7 will be placed in the middle circle.

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find a parameterization for a circle of radius 7 with center (4,6,5) in a plane parallel to the yz plane. write your parameterization so the y component includes a positive cosine.

Answers

A plane is said to be parallel to the YZ plane if it is parallel to the y-axis. Since a circle is being formed with a radius of 7 and the center is (4,6,5), it will be the intersection of the sphere of radius 7 with center (4,6,5) with a plane that is parallel to the YZ plane.

Let the point (x, y, z) be on the plane, where y and z are on the YZ plane. So, we can write the equation of the plane as x = k, where k is a constant.

The equation of the sphere is given as:

(x - 4)² + (y - 6)² + (z - 5)² = 7².

Now, substitute x = k in the equation of the sphere to get an equation in y and z:

(k - 4)² + (y - 6)² + (z - 5)² = 7².

This equation represents a circle in the YZ plane of radius 7 with center (4,6,5).

The parameterization of the circle is given as

(k, 6 + 7cos(t), 5 + 7sin(t)), where t is a parameter.

This satisfies the equation of the circle,

(k - 4)² + (y - 6)² + (z - 5)² = 7²

and the y component includes a positive cosine.

The question is asking to find a parameterization for a circle of radius 7 with center (4,6,5) in a plane parallel to the yz plane. The circle is the intersection of the sphere of radius 7 with center (4,6,5) with a plane that is parallel to the y-axis. To find the equation of the plane, we can write x = k, where k is a constant.

Then substitute x = k in the equation of the sphere to get an equation in y and z:

(k - 4)² + (y - 6)² + (z - 5)² = 7².

This equation represents a circle in the YZ plane of radius 7 with center (4,6,5).

The parameterization of the circle is given as (k, 6 + 7cos(t), 5 + 7sin(t)), where t is a parameter.

This satisfies the equation of the circle, (k - 4)² + (y - 6)² + (z - 5)² = 7² and the y component includes a positive cosine. Hence, the parameterization for a circle of radius 7 with center (4,6,5) in a plane parallel to the YZ plane is (k, 6 + 7cos(t), 5 + 7sin(t)), where t is a parameter.

Thus, we can say that the parameterization of the circle in the plane parallel to the YZ plane with center (4,6,5) and radius 7 is (k, 6 + 7cos(t), 5 + 7sin(t)), where t is a parameter, and this satisfies the equation of the circle,

(k - 4)² + (y - 6)² + (z - 5)² = 7² and the y component includes a positive cosine.

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b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)

Answers

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10. 2 hours per week. Is the amount of time greater than that for this year? what is the parameter?.

Answers

Therefore, the parameter in this case is the average amount of time teenagers spend playing computer games in the current year.

To determine if the amount of time teenagers spend playing computer games is greater than the average time in the 1990s (10.2 hours per week), the scientist would conduct a study and collect data on the current average time spent playing computer games among teenagers.

In this context, the parameter of interest would be the average amount of time teenagers currently spend playing computer games per week. The scientist wants to compare this parameter to the average time of 10.2 hours per week in the 1990s.

By collecting data from a representative sample of teenagers and calculating the average time spent playing computer games, the scientist can then compare the current average to the 1990s average. If the current average is significantly higher, it would indicate that teenagers spend more time playing computer games now than they did in the 1990s.

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what x what = 1600 pls help me

Answers

Answer:

80

Step-by-step explanation:

40×40=1600

Go the cal and check it yrself plss

I'm just trying to help

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our environment is very sensitive to the amount of ozone in the upper atmosphere. the level of ozone normally found is 5.5 parts/million (ppm). a researcher believes that the current ozone level is not at a normal level. the mean of 13 samples is 6.0 ppm with a standard deviation of 0.9 . assume the population is normally distributed. does the data support the researcher's claim at the 0.05 level? make the decision to reject or fail to reject the null hypothesis.

Answers

The data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance, concluded with the help of a one-sample t-test.

To test whether the current ozone level is significantly different from the normal level of 5.5 ppm, we can use a one-sample t-test.

The null hypothesis is that the mean ozone level is equal to 5.5 ppm:

H0: mu = 5.5

The alternative theory is that the average ozone level exceeds 5.5 ppm:

Ha: mu > 5.5

The significance threshold will be set at 0.05.

t = (x - mu) / (s / sqrt(n)) is the test statistic for a one-sample t-test.

where x is the sample mean, is the hypothesized population mean, s represents the sample standard deviation, and n represents the sample size.

When we substitute the provided values, we get:

t = (6.0 - 5.5) / (0.9 / sqrt(13)) = 1.936

Using a t-table with 12 degrees of freedom (n-1=13-1=12) and a significance level of 0.05, the critical value is 1.782. Since our calculated t-value (1.936) is greater than the critical value (1.782), we reject the null hypothesis.

Therefore, we can conclude that the data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance.

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REASONING Determine whether the following statement is true or false. If true, explain your reasoning. If false, provide a counterexample.
If the congruent sides in one isosceles triangle have the same measure as the congruent sides in another isosceles triangle, then the triangles are congruent.

Answers

"If the congruent sides in one isosceles triangle have the same measure as the congruent sides in another isosceles triangle, then the triangles are congruent."

The given statement true.

Briefing:

When two angles become congruent, their degree measures are the same. The reverse of something like the Isosceles Triangle Theorem asserts that the sides of a triangle opposing congruent angles are also congruent.

What exactly is the isosceles triangle theorem and exactly how does it work?

If two two triangles are congruent, then perhaps the sides opposite the congruent angles are equal, in accordance with the isosceles triangle theorem converse.

What is the mathematical definition of a theorem?

Mathematics is defined by theorems. A theorem is a proposition that has been proven true by a rigorous proof, which is a type of logical argument.

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Eddie needs 2 \displaystyle \frac{2}{3} 3 2 ​ cups of flour for one batch of pancakes. How much flour does he need for 2 \frac{1}{2}2 2 1 ​ ​ ​batches? ​Make sure to put cups at the end of your answer.

Answers

The cups of flour that is needed for 2 1/2 cups of flour is 6 2/3 cups.

How much flour is needed?

A mixed number is a fraction that has a whole number, a numerator and a denominator. The numerator usually has a smaller value when compared with the denominator. An example of a mixed number is 2 1/2.

In order to determine the cups of flour that is needed for 2 1/2 batches of pancakes, multiply 2 1/2 by 2 2/3. Multiplication is the mathematical operation that is used to determine the product of a number. The sign that represents multiplication is x.

Flour needed = batches to be made x amount of flour needed for one batch

2 2/3 x 2 1/2

8/3 x 5/2 = 20 / 3 = 6 2/3 cups

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