Question

X = Round to the nearest hundredth or keep as a s

Answer 1

x=6.67

1) Examining that figure, we can state that we have two similar triangles with proportional sides and congruent angles.

2) So let's write a proportion so that we can find the measure of x

`\begin{gathered} \frac{hipotenuse}{hipotenuse\text{ 2}}=\frac{\text{Leg}}{\text{leg 2}} \\ (18)/(10)=(12)/(x) \\ 18x=120 \\ x=(120)/(18) \\ x=(20)/(3)\text{ }\cong6.66667 \end{gathered}`

3) Since the answer must be rounded to the nearest hundredth we have

the answer as x=6.67