Question

Find the value of that makes ADEFAXYZ.

18
24
E
5
8
6
D
F
X
Z
6x + 6
30

Answer 1

x = 2/3

DF = 10

scale factor of ΔDEF to ΔXYX is 1:3

Explanation:

DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:

6x+6/30 = 8/24

simplify 8/24 to be 1/3

6x+6/30 = 1/3

cross-multiply:

3(6x+6) = 30

18x + 18 = 30

18x = 12

x = 12/18 or 2/3