shadeidracampbell48
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Answer:

I think it is B

Step-by-step explanation:

Answer:  D) 12

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Work Shown:

The smaller angles UVN and NVW add up to the largest angle UVW.

This is due to the angle addition postulate.

(angle UVN) + (angle NVW) = angle UVW

(6x+13) + (46) = 11+10x

6x + 59 = 11 + 10x

6x - 10x = 11 - 59

-4x = -48

x = -48/(-4)

x = 12

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Extra info:

If you're curious about the angles, then we use that x value to find them

  • angle UVN = 6x+13 = 6*12+13 = 72+13 = 85 degrees
  • angle NVW = 46 degrees
  • angle UVW = 11+10x = 11+10*12 = 11 + 120 = 131 degrees

Note how 85+46 = 131 to show that (angle UVN) + (angle NVW) = angle UVW is a true equation. This confirms our answer for x.

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