Question

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

Answer 1

Answer:

x ≈ 7.2

Step-by-step explanation:

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

$\frac{MN}{MK}$ = $\frac{MO}{ML}$ , substitute values

$\frac{13.1}{13.1+10.9}$ = $\frac{8.7}{8.7 +x}$

$\frac{13.1}{24}$ = $\frac{8.7}{8.7+x}$ ( 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 = $\frac{94.83}{13.1}$ ≈ 7.2 ( to the nearest tenth )

Answer 2

Answer:

7.2

Step-by-step explanation:

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