2. A multiplication problem is shown.
184 x ?
= 9,752
What is the missing number?

Answer: x = 6, Angle ABC = 45, Angle DBC = 34

Step-by-step explanation:

79 = (5x + 4) + (8x - 3)

79 = 13x + 1

78 = 13x

x = 6

8x - 3      plug in 6 for x

8(6) - 3

Angle ABC = 45

5x + 4     plug in 6 for x

5(6) + 4

Angle DBC = 34

Triangle AXC is congruent to triangle AYB by the SAS Congruence Criteria.

In geometry, two triangles are said to be congruent if they have the same shape and size. More specifically, two triangles are congruent if all three sides and all three angles of one triangle are equal to the corresponding sides and angles of the other triangle. When two triangles are congruent, they can be superimposed on top of each other, and all corresponding parts of the triangles will match exactly.

There are several ways to prove that two triangles are congruent, including using the side-angle-side (SAS) theorem, the angle-side-angle (ASA) theorem, the side-side-side (SSS) theorem, and the hypotenuse-leg (HL) theorem.

Given that |AB|=|CD| and triangle ABC is isosceles.

We need to prove that triangle AXC = triangle AYB.

To do so, we will use the Side-Angle-Side (SAS) Congruence Criteria.

AC = BC (Given)

∠ACX = ∠BCY (Vertical Angles)

∠CAX = ∠CBY (Base Angles of Isosceles Triangle)

Therefore, triangle AXC is congruent to triangle AYB by the SAS Congruence Criteria.

Hence, proved.

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The next fraction in the given sequence is 7/15.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The given sequence is 11/15, 2/3, 3/5, 8/15.

To find the next fraction in this sequence, we need to find a pattern in the relationships between the fractions.

It appears that each fraction is the result of subtracting 1/15 from the previous fraction. That is,

2/3 - 11/15 = -1/15

3/5 - 2/3 = -1/15

8/15 - 3/5 = -1/15

So the next fraction in the sequence would be 8/15 - 1/15 = 7/15.

Therefore, the next fraction in this sequence is 7/15.

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Answer:

6 minutes

Step-by-step explanation:

3 hours = 180 minutes

180 minutes / 30 windows= 6 minutes per window

Dilation is a transformation in geometry that involves changing the size of a shape without changing its shape or orientation. This process is achieved by multiplying each of the coordinates of the shape by a scaling factor. In this response, we will explore how the area of shapes changes when dilated.

When a shape is dilated, its area changes by a factor of the scaling factor squared. This means that if the scaling factor is 2, the area of the shape will increase by a factor of 4. Likewise, if the scaling factor is 0.5, the area of the shape will decrease by a factor of 0.25. To illustrate this, let's take a square with a side length of 4 units. The area of this square is 16 square units. If we dilate this square by a scaling factor of 2, the side length will become 8 units, and the area will increase to 64 square units (16 x 2 x 2). If we dilate the same square by a scaling factor of 0.5, the side length will become 2 units, and the area will decrease to 4 square units (16 x 0.5 x 0.5). In conclusion, when a shape is dilated, its area changes by a factor of the scaling factor squared. This means that if the scaling factor is greater than 1, the area of the shape will increase, and if the scaling factor is less than 1, the area of the shape will decrease. It is important to note that dilation does not change the shape or orientation of the original shape, only its size.

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Answer:

4 and a half i think

Answer:

since the hypotenuse are equal

Step-by-step explanation:

then x = 12

The equation will be 3x - 20 = 16. Then the value of the variable 'x' will be 12.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔQRS is congruent to the triangle ΔXYA. Then the corresponding sides will be equal to each other. Then we have

3x - 20 = 16

Simplify the equation, then we have

3x - 20 = 16

3x = 36

x = 12

The equation will be 3x - 20 = 16. Then the value of the variable 'x' will be 12.

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Given the distance travelled and the time elapsed, the average speed of the train is approximately 1.63 miles per minutes.

Given that;

Average speed = distance traveled / elapsed time

Average speed = 75miles / 46min

Average speed = 1.63 miles per minutes

Given the distance travelled and the time elapsed, the average speed of the train is approximately 1.63 miles per minutes.

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Using the sample space, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

In the given question we have to find the probability of rolling an even number with a six-sided dice.

The sample space of dice through the experiment is

{1,2,3,4,5,6}

The even numbers is {2,4,6}.

The probability of rolling an even number with a six-sided dice is

P(E)=Total number of even outcome/Total number of outcome

P(E)=3/6

P(E)=1/2

Hence, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

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The equation of the revenue function is R(x) = (30 + x) * (210 - 10x).

To find the equation of the revenue function, we need to consider the number of additional people above 30, denoted by x. The base cost per person is $210 for a group of 30 people. For each additional person above 30, the cost per person is reduced by $10.

The total revenue for the travel agency can be calculated by multiplying the total number of people in the group (30 + x) by the cost per person. Since the cost per person decreases by $10 for each additional person, we subtract 10x from the base cost of $210.

Therefore, the equation of the revenue function is R(x) = (30 + x) * (210 - 10x).

This revenue function gives the total revenue earned by the travel agency based on the number of additional people above 30 (x). The revenue is determined by the number of people in the group and the corresponding cost per person. By substituting different values for x into the equation, we can calculate the revenue for different group sizes and determine the optimal group size that maximizes revenue

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The margin of error for the 92.5% confidence interval to measure the population estimate is 0.0349 .

We have the following confidence interval of proportions in a sample of n people who were polled, with a success probability of and a confidence level of.

In which n = 515

z is the z-score that has a p-value of 1 - 92.5 = 7.5

The margin of error is of:

80 of the 515 participants in a clinical trial exhibited improvement after the treatment.

This means that

92.5% confidence level

So , z is the value of Z that has a p-value of , so .

Margin of error:

\(Z_{\frac{\alpha}{2}}\cdot \sqrt{\frac{p(1-p)}{n} }\) = 0.0349

The margin of error for the 92.5% confidence interval used to estimate the population proportion is of 0.0349 .

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

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Answer:

2x+5y=235   2x+5y=65

Step-by-step explanation:

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

The expression in algebraic fraction 2s + 24⅔ represent the total area of the largest rectangle by comparison.

when fractions are expressed with the same denominator, it is easier to compare their numerators to know which is smaller of bigger.

2s + 24⅔ = (6s + 74)/3

⅓ × s + 12 = (s + 36)/3

⅓ × s + ⅓ × 12 = (s + 12)/3

⅓ × s + 4 = (s + 12)/3

⅓(s + 12) = (s + 12)/3

we will observe that the five algebraic fractions now have same denominator and for any real value of s, the largest of the them will be the first expression 2s + 24⅔.

Therefore, thehe expression in algebraic fraction 2s + 24⅔ represent the total area of the largest rectangle by comparison.

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Answer:

24

Step-by-step explanation:

Order of Operations: BPEMDAS

B - Brackets

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Step 1: Write expression

6 · [20 ÷ (15 - 10)]

Step 2: Bracket Parenthesis

6 · [20 ÷ 5]

Step 3: Brackets

6 · 4

Step 4: Multiply

24

6 x (20 ÷ (15 - 10)) (calculate)

6 x (20÷5) (divide)

6 x 4 (multiply)

24

Step-by-step explanation:

\(2(6)( - 2) = \\ = 2( - 12) = \\ = - 24\)

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)

\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)

\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)

⠀

we know that,

\(\boxed{\sf{speed=\dfrac{distance}{time}} }\)

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

BUTTT,

he ran the 200-meter race in 19.5 seconds.

According to the question,

we have to compare the speed

⠀⠀⠀

\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)

The two speeds are equal of Yohan Blake.

Answer:

1/2

Step-by-step explanation:

Answer:

it is 1/2 or 9/18

Step-by-step explanation:

there was 18 shirts all together and half were white

good luck!

The angle of depression at which the camera is mounted on the wall is 11.31°.

For the given question-

In right angles triangle ABC, (shown in diagram)

Angle C is the angle of depression.

Applying tangent of the angle;

tan C = 9/45

tan C = 0.2

C = 11.31°

Thus, angle of depression at which the camera is mounted on the wall is 11.31°.

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Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

Answer:

B. n ≥ 12

Step-by-step explanation:

As you can see, the number is represented by n. So when n is no less than 12, it means that n is greater than 12 but can also be equal to it.

Therefore, the answer is n ≥ 12

Answer:

AAA

Step-by-step explanation:

The formula to be used to calculate the 95% confidence interval bounding both sides of the population mean of a normal distribution with known standard deviation (sigma) is given by

X ± Z * σ/\(\sqrt{n}\).

We have to find out the formula that is to be used to calculate the 95% confidence interval bounding both sides of the population mean of a normal distribution with known standard deviation (sigma).

We have to first understand what is meant by 95% confidence interval. Considering any normal distribution, approximately 85% of the values are within two standard deviations of the mean. Standard Deviations of the mean is the range of numbers that we believe contains.

It is also known to us that "n" is the sample size. If the sample size is greater than 30 then we can use the formula to determine the 95% confidence interval.

The sample means, the sample standard deviation, the sample size, and the z-value are represented in the formula.

Therefore, the formula to be used to calculate the 95% confidence interval bounding both sides of the population mean of a normal distribution with known standard deviation (sigma) is given by

X ± Z * σ/\(\sqrt{n}\).

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We have that, based on the displacement of an ant, the probability that the ant will be at point B after 5 minutes is 1/81.

We need to find the probability that after 5 minutes the ant will be at the point labeled B. Here, the ant moves on the next lattice, starting at the point labeled A. Every minute, it moves to one of the neighboring points on the point he was, choosing among his neighbors at random. We need to find the probability that the ant will be at the point marked B after 5 minutes. We will solve the problem in the following steps:

Step 1: We will draw the net as indicated and mark A and B as shown in the figure.

Step 2: From A, the ant has three neighboring points, namely B, C, and D. The ant can move to any of these neighboring points with the same probability (1/3).

Step 3: The ant has similar options for the rest of the four minutes. Every minute, the ant has three neighboring points to move with the same probability (1/3).

Step 4: Let us now calculate the probability that the ant will be at B after 5 minutes. The ant can move from A to B in one possible path, which is A → C → E → F → B. Therefore, the required probability is P(ant at B) = P(A → C → E → F → B)

Step 5: We will now use the multiplication probability rule to find the probability that the ant will move to a particular point on the path. P(A → C → E → F → B) = P(A → C) × P(C → E) × P(E → F) × P(F → B) The probability that the ant will move from A to C is 1/3. The probability that the ant will move from C to E is also 1/3. Similarly, the probability that the ant will move from E to F and from F to B is each 1/3.

Therefore, the probability that the ant will move from A to B along this path is P(A → C → E → F → B) = 1/3 × 1/3 × 1/3 × 1/3 = 1/81. Therefore, the probability that the ant will be at point B after 5 minutes is 1/81.

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The length of the side of the square with an area smaller than the area of a circle with a radius r cm is less than r√π.

The length of the side of a square with an area smaller than the area of a circle with a radius r cm can be found as follows: Let the length of the side of a square be s.

The area of a square can be expressed as A = s².

The area of a circle can be expressed as A = πr².

Since we know that the area of the square is less than the area of the circle, we can set up the following inequality:

s² < πr²

We can solve for s by taking the square root of both sides:

√(s²) < √(πr²)s < r√π

So the length of the side of the square is less than r√π.

Therefore, the length of the side of the square with an area smaller than the area of a circle with a radius r cm is less than r√π.

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Answer:

The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!

Answer:

978678

Step-by-step explanation:

kjgh

Answer:

(-5,11)

Step-by-step explanation: