Question

Solve for x. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Answer 1

x = 37.6

Explanation:

Δ PRQ and Δ SUT are similar by the AA postulate

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

`(UT)/(RQ)` =
`(SU)/(PR)` ( substitute values )

`(x)/(47)` =
`(44)/(55)` =
`(4)/(5)` ( cross- multiply )

5x = 4 × 47 = 188 ( divide both sides by 5 )

x = 37.6