Question

In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpointof BC.If DE = 64 – 7x, and AC = 48 – 4x, what is the measure of DE?

Answer 1

we get htat

`\begin{gathered} 2\cdot(64-7x)=48-4x\rightarrow64-7x=24-2x \\ 64-24=7x-2x \\ 40=5x \\ x=(40)/(5)=8 \end{gathered}`

having the value of x. We get that

`DE=64-7\cdot5=64-35=29`

so the answer is 29