Question

Solve for x. Round your answer to the nearest tenth if necessary.

X=

Answer 1

x ≈ 7.2

Explanation:

Δ MNO and Δ MKL are similar, so the corresponding sides are in proportion, that is

`(MN)/(MK)` =
`(MO)/(ML)` , substitute values

`(13.1)/(13.1+10.9)` =
`(8.7)/(8.7 +x)`

`(13.1)/(24)` =
`(8.7)/(8.7+x)` ( cross- multiply )

13.1(8.7 + x) = 208.8 ← distribute left side

113.97 + 13.1x = 208.8 ( subtract 113.97 from both sides )

13.1x = 94.83 ( divide both sides by 13.1 )

x =
`(94.83)/(13.1)` ≈ 7.2 ( to the nearest tenth )

Answer 2

7.2

Explanation:

Since the angle is equal, 24/(x+8.7)=13.1/8.7. x=7.2