WY bisects UV at Y. If
UY = 2x +1 and YV = x+7, find
UV.

The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8

To bisect a given line means to divide the line into two equal parts.

If WY bisects UV at Y, then:

UY + YV = UV and UY  = YV

Given the following parameters:

UY = 2x +1

YV = x+7

Required

UV

Substitute the given parameters into the formula shown above:

2x + 1 + x + 7 = UV

Collect the like terms

2x + x + 1 + 7  UV

3x + 8 = UV

Swap

UV = 3x + 8

Hence the measure of length UV is 3x + 8

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3x + 8

Step-by-step explanation:

Since, WY bisects UV at Y.

Therefore,

UV = UY + YV

UV = 2x + 1 + x + 7

UV = 2x + x + 1 + 7

UV = 3x + 8

answer:

your answer is: c. 196 7/8 in^3.