Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′?

When you dilate a shape by a scale factor of 2, you are just multiply the coordinates by 2.

So the points become:

A(2, 3)  ===>  A'(4, 6)

B(3, 5)  ===>  B'(6, 10)

C(7,4)   ===>  C'(14,8)

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls