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TEA [102]
2 years ago
7

Pentagon JKLMN is similar to pentagon UVWXY.

Mathematics
1 answer:
marusya05 [52]2 years ago
6 0

9514 1404 393

Answer:

  C.  12

Step-by-step explanation:

Corresponding sides are proportional. Sides with the same mark are the same length.

  WX/XY = LM/MN = LM/KJ

  WX/10 = 18/15

  WX = 180/15 . . . . multiply by 10

  WX = 12

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Marizza181 [45]

9514 1404 393

Answer:

  ∠Q = 89°

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Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

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  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

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  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

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  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

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7 0
2 years ago
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Svetllana [295]
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