NarayanJ440291 NarayanJ440291

30-10-2022
Mathematics

contestada

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?

Respuesta :

KatieC465418 KatieC465418

30-10-2022

we get htat

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

having the value of x. We get that

[tex]DE=64-7\cdot5=64-35=29[/tex]

so the answer is 29

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