Question

(7.5)What is the value of x?

X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5

Answer 1

D 5

Explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5