63,074 views
44 votes
44 votes
Solve for x. Enter as a decimal not as a fraction. Round to nearest hundredth (2 decimals) if necessary.

Solve for x. Enter as a decimal not as a fraction. Round to nearest hundredth (2 decimals-example-1
User MalteseUnderdog
by
2.9k points

1 Answer

23 votes
23 votes

We know that the midsegment connects the midpoints because it divides each side into equal parts.

We also know that x+2 and 6x+1 are parallels because the midsegment connects midpoints, which means it's parallel to the third side.

Let's call one side 2y and each part as y. We can use the following proportion


(y)/(x+2)=(2y)/(6x+1)

Now, we solve for x.


\begin{gathered} y(6x+1)=2y(x+2) \\ 6x+1=(2y(x+2))/(y) \\ 6x+1=2(x+2) \\ 6x+1=2x+4 \\ 6x-2x=4-1 \\ 4x=3 \\ x=(3)/(4)=0.75 \end{gathered}

Hence, x = 0.75.

User Ffritz
by
2.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.