2. Set up two different ratios using the lengths of thesides of the following triangles. AABC~ARSTTN2AS30°1NRс30°4B

Given

Answer

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

A) 1 line of symmetry

Step-by-step explanation:

The equation of the line is y = (3/2)x - 1/2.

The equation of a line is given by:

y = mx + c

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

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).

Now,

The equation of a line.

y = mx + c

The line passes through points (3, 4) and (5, 7).

m = (7 - 4) / (5 - 3)

m = 3/2

Slope = 3/2 _____(1)

Now,

(3, 4) = (x, y)

4 = 3/2 x 3 + c

4 = 9/2 + c

c = 4 - 9/2

c = (8 - 9) / 2

c = -1/2

y-intercept = -1/2 ____(2)

Now,

y = mx + c

From (1) and (2),

y = (3/2)x - 1/2

Thus,

The equation of the line is y = (3/2)x - 1/2.

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The complete question.

Find the equation of a line that [passes through the point (2, 4), and (5, 7).

Answer:

A:  16.2% (if you need it rounded, it is 16%)

B: 43.2% (if you need it rounded it is 43%)

Step-by-step explanation:

We need to find the candy bar percentage rate so we divide the amount of candy bars, by the total about of treats collected.

15 + 7 + 8 + 6 + 1 = 37

Now we divide the cady bars by the total amount:

6/37 = 16.2%

Now we do the same thing again but this time with the apples and gum:

16/37 = 43.2%

You did it!

Have a great day!!

Please rate and mark brainliest!!

Answer:

C. 20 units

Step-by-step explanation:

x > 16 because the hypotenuse is always the longest side

9 + 16 = 25

25 > x

that leaves you with 20 units and 24 units but 24 units is too long, so C. 20 units is the answer

Tthe value of x is 20 u

To get the value of x from the diagram, we will use the triangle altitude theorem as shown below;

From the diagram;

9/RT = RT/16

RT^2 = 9*16

RT^2= 144

RT = 12

Get the value of x using the pythagoras theorm;

x^2 = 16^2 + 12^2

x^2 = 256 + 144

x^2 = 400

x = 20

Hence the value of x is 20 units

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Answer:

48

Step-by-step explanation:

About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?

Given that:

Approximate Number of cans that can be recycled per month in the US = 40 million

Fraction of recycled cans that can be used to make an aluminum boat = 1/4

The number of aluminum boats that can be made in the US in one year :

If about 40 million cans are recycle per month :

The number of boat that can be made from each monthly recycled aluminum cans will be :

Number of monthly recycled can needed to make one boat:

1/4 * 40 million = 10 million cans

Hence, 40,000,000 / 10,000,000 = 4

4 aluminum boats can be made in one month :

Number of months in a year = 12

Number of aluminum boats that can be made in a year :

4 per month * 12 = 48 aluminum boats

Answer:

It's 50 because I used the right answer hahahahah

Answer:

$24.68

Step-by-step explanation:

15% of 20=3

8.4% of 20=1.68

20+3+1.7=24.68

I did this by multiplying .15 by 20 to get 3, and multiplying .084 by 20 to get 1.68. Again, add it all together to get $24.68.

Hope this helps :)

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

We have,

From the given quadratic function,

We see that,

The x-values are -∞ to ∞

The y-values are from 3 to ∞

Now,

The x-values are called the domain.

The y-values are called the range.

Thus,

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

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The savings account balance after six months with an 8% annual percentage rate and $200 monthly contributions is $202.6.

Savings Plan Formula

The future worth of a savings or investment account in which you make regular deposits can be calculated using the formula below.

EXAMPLE 1 Assume you put $100 into a savings account each month that pays 7.3% interest that is compounded monthly.

To determine the saving plan balance after 6 month

First of all we have to calculate the growth factor

Growth factor =(1+(0.08/6)) per month

Growth factor= 1.013

Now let calculate the savings plan balance after 6 month

Saving plan balance after 6

Months =$200.00x1.0133

             = $202.6

From conclusion the saving plan balance after 6 month is=$202.6

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Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

For x =  12°, line m and line n will be parallel to each other.

Option (C) is correct.

What are angles in a linear pair?

When two lines intersect at a single point, a linear pair of angles is formed. If the angles are adjacent to each other after the two lines intersect, they are said to be linear. The sum of the angles of a linear pair is always 180°. These angles are also referred to as supplementary angles.

In the given figure, the line m and line n will be parallel, if and only if the both angles are in a linear pair,

So by using the property of the angles in a linear pair, we get

             11x° + 4x° = 180°

             15x° = 180°

              x° = 180°/15°

              x = 12°

Hence for x =  12°, line m and line n will be parallel to each other.

Option (C) is correct.

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Answer:

4.57

Step-by-step explanation:

i dont have no explanation

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

The equation of the line is y = x + 6

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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Answer:

2 Times Remainder 14

Or 2.20895522388 times

Step-by-step explanation:

67 x 2 = 134

148 - 134 = 14

It will go in two times with a remainder of 14

Answer:

$1800

Step-by-step explanation:

twelve months in a year 12*2=24

75*24=1800

Answer:

$1800

Step-by-step explanation:

2 years is 24 months

75*24=1800

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

Step-by-step explanation:

Answer:

Angle 1: 34°

Angle 2: 146°

Angle 3: 146°

Angle 4: 34°

Angle 5: 34°

Angle 6: 146°

Angle 7: 146°

Angle 8: 34°

Step-by-step explanation:

Angle 1: because angle 1 and 5 are corresponding, we know that angle 1 is 34°.

Angle 2: because a line is 180°, we can set angle 1 and 2 equal to 180° ( 34+x+15=180) which when solved, x = 131. but you need to plug it back into the equation of angle 2 to find out how many degrees it is. ( 131+15=146 ) So angle 2 is 146°

Angle 3: angles 2 and 3 are vertical angles, so angle 3 is 146°

Angle 4: angles 1 and 4 are vertical, so angle 4 is 146°

Angle 5: is given

Angle 6: angles 2 and 6 are corresponding so they are equal, angle 6 is 146°

Angle 7: angles 6 and 7 are vertical so angle 7 is 146°

Angle 8: angles 5 and 8 are vertical of each other so they are equal, angle 8 is 34°

.25 = p ,

Solution :

equivalent to 10+ 4(-8q - 4)

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom.

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at

examples of equivalent equations

Equivalent equations are algebraic equations that have identical solutions or roots.

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.

Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

The first step is to know the rules of equivalent equations:

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.

Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Raising both sides of the equation to the same odd power or taking the same odd root will produce an equivalent equation.

If both sides of an equation are non-negative, raising both sides of an equation to the same even power or taking the same even root will give an equivalent equation.

Solution :

10+ 4(-8q - 4)=0

10+ 4(-8q ) = 4

10-24 p =4

10 -4 =24 p

6 =24 p

6/24 = p

1/4 = p

.25 = p

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Answer:

4

Step-by-step explanation:

57 = 7.50x + 22

subtract 22 from both sides

35 = 7.50x

divide both sides by 7.50

4.66666666667 = x

since you cant have .666667 of a car, you would round it down to 4

Answer:

35

Step-by-step explanation:

30+20=50

50-15=35

(Brainliest helps)

Answer:

Answer on imagine math ;)

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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