Question

Can someone please help

Answer 1

The measure of CD is 46

Explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

`13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2`

Now,

`CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46`