Which of the following statements are true in a dilation? (select all that apply) a All corresponding angles are congruent. b All corresponding angles are proportional. c All corresponding sides are congruent. d All corresponding sides are proportional. e The distance of each point from the center of dilation is multiplied by the scale factor. f The distance of each point from the center of dilation does not change.

Solution

The measure of the angle

Alternate interior angles are "interior" (between the parallel lines), and they "alternate" sides of the transversal. Notice that they are not adjacent angles (next to one another sharing a vertex).

When the lines are parallel,

the alternate interior angles

are equal in measure.

Hence the angle in a parallel lines are said to be corresponding and equal

Therefore the measure of the angle 139°

When the radius of a sphere is increasing at a rate of 4 mm/s, the volume of the sphere is increasing at a rate of 2048π mm³/s when the diameter is 80 mm.

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius. To find the rate at which the volume is changing with respect to time, we need to differentiate the volume equation with respect to time.

Differentiating both sides of the equation V = (4/3)πr³ with respect to time t, we get

dV/dt = 4πr²(dr/dt).

Here, dV/dt represents the rate of change of volume with respect to time, and dr/dt represents the rate of change of the radius with respect to time.

Given that dr/dt = 4 mm/s, we can substitute this value into the equation to find dV/dt.

Since the diameter is twice the radius, when the diameter is 80 mm, the radius is 40 mm.

Plugging in these values, we get dV/dt = 4π(40)²(4) = 2048π mm³/s.

Therefore, when the diameter is 80 mm, the volume of the sphere is increasing at a rate of 2048π mm³/s.

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Answer: Your answer is (B).

To determine which graph shows the solution to the inequality x - 2y ≥ 9, you would need to look for a graph that shows a shaded region representing all the points (x,y) that satisfy the inequality. The boundary line for this inequality would be x - 2y = 9, which can be rewritten in slope-intercept form as y = (1/2)x - 9/2. This line would have a slope of 1/2 and a y-intercept of -9/2. Since the inequality is greater than or equal to, the shaded region would be above the line and include the line itself.

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Step-by-step explanation:

b)

make it braintliest please

Answer: The answer is 12x–9.

Step-by-step explanation: So to combine the like terms or simplify add –3x and 15x.

Yes, we can conclude that A = B. This is because the given conditions state that the union and intersection of A and C are equal to the union and intersection of B and C, respectively.

This implies that the elements in A and B are the same, as they share the same elements with C. Therefore, A and B are equivalent, and we can conclude that A = B. The given conditions also ensure that all the elements in A and B are contained within C, so they do not affect the equality of A and B. Overall, the given conditions provide enough information to conclude that A = B. Based on the given information, we cannot definitively conclude that A = B. Although the union and intersection of A and B with C are equal, this does not guarantee that A and B are identical sets. To prove A = B, we need to show that every element in A is also in B, and vice versa. Without additional information about the specific elements in sets A, B, and C, we cannot reach a conclusion about the equality of A and B. It's possible that they are equal, but the provided conditions are not sufficient to prove it.

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Answer:

a=9.1

Step-by-step explanation:

Answer:

0.32 Cups of flour.

Step-by-step explanation:

Since He made a batch of 25 biscuits using 8 cups of flour, then each biscuit contain 8/25 Cups of flour.

In each biscuit, there are 8/25 cups of Flour.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, On the last day of school, Kendrick wants to bring in homemade breakfast biscuits for his classmates.

Since,

He makes a batch of 25 biscuits using 8 cups of flour.

So,

For 25 biscuits, it required flour = 8 cups

Thus, from the proportionality

For 1 biscuit, it required flour = 8/25 cups

Therefore, there are 8/25 cups of flour is in each biscuit.

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Answer:

11 3/8.

Step-by-step explanation:

3 1/2 * 3 1/4

= 7/2 * 13/4

= 91/8

= 11 3/8.

Answer

First Question

Options A and B are correct.

The correct answers that satisfy the inequality given include 1600 and 2000.

Second Question

d = 948.6 m

Explanation

We are given that

√x ≥ 40

We are then asked to pick the options that satisfy the given expressio,

To do this, we need to first square both sides

√x ≥ 40

x ≥ 1600

So, for the options, we will pick the answers that are greater than or equal to 1600

The correct answers include 1600 and 2000.

All the other options are not equal to or greater than 1600.

Second Question

We are given that the expression that gives the relationship between the distance the object falls (d) and the time taken (t) is

√d = (t) . (2.8)

√d = 2.8t

We are then asked to solve the distance a screw that falls for 11 seconds falls

√d = 2.8t

t = 11 seconds

√d = 2.8t

√d = 2.8 (11)

√d = 30.8

Square both sides

d = 948.6 m

Hope this Helps!!!

Answer:

I got 0.00001693508 is that one of your answers?

Answer is below. Look at the steps to understand the answer.

We'll need to combine like-factors for (3⁻⁴ × 3⁻⁶)⁴.

To do that, we'll combine the exponents and copy the base number.

In the term, the like terms are...

3⁻⁴ and 3⁻⁶.

Like I said, when we need to combine the like-factors, we'll combine the numbers. Combine the numbers like this:

(3⁻⁴⁽⁻⁶⁾)⁴

Add the exponents.

Remember the integer rule.

P + P = P

N + N = N

P + N = P

P + N = N

According to the rule, a negative + negative = negative. So...

-4 + (-6) = (-10)

We now need to make the exponent (3⁻¹⁰) positive.

Rule: A⁻ᴮ = ¹⁄ₐᴮ

According to the formula, A is the base number and B is the negative exponent.

That being said...

A → 3

B → 10

Now, since we know what A and B is, let's change our equation.

⅓¹⁰

Bring down the exponent 4 then multiply.

10 · 4 = 40

Therefore, the answer is ⅓⁴⁰.

Answer:

Step-by-step explanation:

Find the volume of the sample container.

Given:

Volume formula:

Substitute to get:

Find the volume of the trace element, using the given proportion:

Answer:

The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.

Answer:

56 ÷ 0.7 is 80

0.7 ÷ 56 is 0.0125

Answer:

No this is not right

Step-by-step explanation:

The correct answer is 32

Answer:

I think the actual answer is 32, so its incorrect

Step-by-step explanation:

The map scale is printed in the map legend. It is given as a ratio of inches on the map corresponding to inches, feet, or miles on the ground. For example, a map scale indicating a ratio of 1:24,000 (in/in), means that for every 1 inch on the map, 24,000 inches have been covered on the ground.

Answer:

1738 kilometers

Step-by-step explanation:

Answer:

1/ 75

Step-by-step explanation:

I think, because 1/ 125-1/ 5=75 and then the the 1 stays the same

Answer: I'm assuming your asking the length of each side. If so, each side is 90 degrees. If not, you should be more specific

Step-by-step explanation:

360 degrees divided by 4 sides equals 90 degrees for each side.

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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Answer:

There are 25 inches in the larger dimension.

Step-by-step explanation:

∵ 1 foot = 12 inches

∵ The small dimension after enlargement is 1 foot and 3 inches

→ Change it to inches only

∴ The small dimension = 1(12) + 3 = 12 + 3

∴ The small dimension = 15 inches after enlarged

∵ The small dimension of the photo before enlarged = 3 inches

→ Divide its length after enlarged by its length before enlarged to

   find the scale of the enlargement

∵ 15 ÷ 3 = 5

∴ The scale of enlarged is 5

→ To find the larger dimension after enlarged multiply its length

   before enlarged by 5

∵ The larger dimension before enlarged = 5 inches

∴ The larger dimension after enlarged = 5 × 5

∴ The larger dimension after enlarged = 25 inches

∴ There are 25 inches in the larger dimension.

Answer:

53 minutes

Step-by-step explanation:

The details of the question indicates relationship equations from which the number of erasers Edwin had at first, is 45 erasers

An equation is a statement of equivalence between expressions.

The number of erasers they each finally had = 360/3 = 120

The number of erasers Dennis had before Fred lost sum erasers to him, x is therefore;

1.60·x = 120

x = 120/1.6 = 75

The number of erasers Fred lost to Dennis = 120 - 75 = 45

Let a, represent the number of erasers Dennis initially had, and let b, represent the number of erasers, Edwin initially had, and let c represent the number of erasers Fred had, we get;

a + b + c = 360

The number of erasers Edwin won from Dennis = 2·b

The number of erasers Dennis then had = a - 2·b

The number of derasers Fred won from Dennis = 0.1·c

The number of erasers Fred then had = 1.1·c

a - 2·b = 75

1.1·c - 45 = 120

c = (120 + 45)/1.1 = 150

a - 2·b = 75...(1)

a + b + 150 = 360

a + b = 360 - 150 = 210

a + b = 210...(2)

a - 2·b = 75

Subtract equation (1) from equation (2), we get;

b - (-2·b) = 210 - 75 = 135

3·b = 135

b = 135/3 = 45

a + 45 + 150 = 360

a = 360 - (45 + 150) = 165

a = 165

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Step-by-step explanation:

The cube is 2 x 2 x 2  inches

 so the cone has a height of 2 inches and a radius of 1 inch

volume of cone = 1/3 pi r^2 h

                           = 1/3 pi (1^2)(2) = 2/3 pi in^3   or  = 2.09 in^3

Answer:

A. 60√6

Step-by-step explanation:

√10 * √ 15 = √ 150

√ 150 = 5√ 6

4 * 3 = 12

12 * 5 = 60

The answer is 60√ 6

Answer:

B. y = 1/3x + 4

Explanation:

Given a function whose:

• Slope, m = 1/3

• y-interept, b = 4

To find the equation that describes the function, substitute the given values into the slope-intercept form of a line.

This gives:

The correct equation is option B.

Answer: C. It illustrates the resistance of the median.