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liubo4ka [24]
3 years ago
14

What is the answer? X=

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

5

Step-by-step explanation:

\because \triangle ACB \cong \triangle DCE... (given) \\\therefore \angle A \cong \angle D... (c.a.c.t)\\\therefore m\angle A = m\angle D\\\therefore 50\degree = 10x\\\\\therefore x = \frac{50\degree}{10}\\\\\huge \orange {\boxed {\therefore x = 5\degree}}

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Ryan earns $20 for every lawn that he mows.<br> How much will Ryan earn if he mows 15 lawns?
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It's "too short", but there's not much else to say here.

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M∠Q = <br> m∠R = <br> m∠S = <br><br> 40 POINTS!!!!!!!
Marizza181 [45]

9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

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°)

  ∠Q = 89°

__

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

  ∠R = 123°

__

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

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3 years ago
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Answer:

64

Step-by-step explanation:

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