Question

Similar triangles what the answer

Answer 1

Answer:

x=8

Step-by-step explanation:

Answer 2

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{2x+4}{2x+4+4}$ = $\frac{x+7}{x+7+3}$

$\frac{2x+4}{2x+8}$ = $\frac{x+7}{x+10}$ ( cross- multiply )

(2x + 4)(x + 10) = (x + 7)(2x + 8) ← expand factors on both sides

2x² + 24x + 40 = 2x² + 22x + 56 ( subtract 2x² from both sides )

24x + 40 = 22x + 56 ( subtract 22x from both sides )

2x + 40 = 56 ( subtract 40 from both sides )

2x = 16 ( divide both sides by 2)

x = 8