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Verizon [17]
3 years ago
9

How do you change a decimal by a fraction

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0
Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.
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Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

  • <em>In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angle</em>
  • <em>The measure of any circle is 360°</em>

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

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∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

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∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

4 0
2 years ago
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