Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

In the diagram of AUVT below, A is the midpoint of UV, B is the midpoint of UW, C is the midpoint of VW, and AB and AC are drawn. U 3x + 1 B В A V C W -7x - 3- If VW = 7x-3 and AB = 3x +1, what is the length of VC? - Answer: VC Submit Answer

In The Diagram Of AUVT Below A Is The Midpoint Of UV B Is The Midpoint Of UW C Is The Midpoint Of VW And AB And AC Are Drawn U 3x 1 B В A V C W 7x 3 If VW 7x3 A class=

Sagot :

As A, B and C are midpoints, and AB is parallel to VW you have:

[tex]\begin{gathered} VW=VC+CW \\ VC=CW \\ VC=\frac{VW}{2} \\ \\ AB=\frac{1}{2}VW \\ \\ AB=VC \end{gathered}[/tex]

AB is the half of VW:

[tex]\begin{gathered} AB=3x+1 \\ VW=7x-3 \\ \\ 3x+1=\frac{7x-3}{2} \end{gathered}[/tex]

You use the equation above to find the value of x:

[tex]\begin{gathered} 2(3x+1)=7x-3 \\ 6x+2=7x-3 \\ 6x-7x=-3-2 \\ -x=-5 \\ x=5 \end{gathered}[/tex]

As you have the value of x and you know that VC is equal to AB:

[tex]\begin{gathered} AB=3x+1 \\ VC=3x+1 \\ \\ x=5 \\ \\ VC=3(5)+1 \\ VC=15+1 \\ VC=16 \end{gathered}[/tex]Then, the lenght of VC is 16 units
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.