Question

HELP DUE IN 10 MINS! Find the scale factor. Solve for x.

Scale Factor=??

x=??

Answer 1

• Scale factor = 1/2 and x = 18

Explanation:

Given:

• ΔABC ~ ΔDEF
• AB = 36. BC = 30
• DE = x, EF = 15
• m∠B = m∠E = 72°

Corresponding sides are:

• AB and DE
• BC and EF

Corresponding sides have same ratio:

• AB/DE = BC/EF
• 36/x = 30/15
• x = 36/2
• x = 18

The scale factor is:

• DE/AB = 36/18 = 1/2