Question

Please solve 8 I can’t figure this out

Answer 1

x = 15

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(MP)/(XZ)` =
`(NP)/(YZ)` ( substitute values )

`(x+5)/(30)` =
`(4x-10)/(75)` ( cross- multiply )

30(4x - 10) = 75(x + 5) ← distribute parenthesis on both sides

120x - 300 = 75x + 375 ( subtract 75x from both sides )

45x - 300 = 375 ( add 300 to both sides )

45x = 675 ( divide both sides by 45 )

x = 15