Question

I need help ASAP please it’s in the picture

Answer 1

Answer: 63.9

Explanation:

ΔEDH ~ ΔEGD

Set a proportion to solve for ED.

Then set up a proportion to solve for x.

`(ED)/(EH)=(EG)/(ED)\quad \rightarrow \quad (ED)/(112)=(99.2)/(ED)\quad \rightarrow \quad ED^2=112(99.2)\quad \rightarrow \quad  ED=105.4\\\\\\(DG)/(DH)=(EG)/(ED)\quad \rightarrow \quad (62)/(x+2)=(99.2)/(105.4)\quad \rightarrow \quad 62(105.4)=99.2(x+2)\\\\\\62(105.4)=99.2(x+2)\\\\6535.2=99.2(x+2)\qquad \text{simplified left side}\\\\65.9=x+2\qquad \text{divided both sides by 99.2}\\\\63.9=x\qquad \text{subtracted 2 from both sides}`