Question

Algebra: Find x
....

Answer 1

d

Explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

`(2x+1)/(x+4)` =
`(40)/(25)` =
`(8)/(5)` ( cross- multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d