Select the correct answer. a triangle with vertices at a(0, 0), b(0, 4), and c(6, 0) is dilated to yield a triangle with vertices at a′(0, 0), b′(0, 10), and c′(15, 0). the origin is the center of dilation. what is the scale factor of the dilation?

* The scale factor of the dilation is 2.5

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

 figure does not change.

- The scale factor, measures how much larger or smaller

 the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertices of the triangle is A (0 , 0) , B (0 , 4) , C (6 , 0)

  and its image A' is (0 , 0) , (0 , 10) , (15 , 0)

∵ 10 ÷ 4 = 2.5

∵ 15 ÷ 6 = 2.5

∴ The scale factor is 2.5

∵ 2.5 > 1

∴ The image of the triangle will be larger

* The scale factor is 2.5

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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