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Ainat [17]
3 years ago
13

Points P. Q. and S are on a circle. The measure of arc PQ is 58°What is the measure of arc PSQ?​

Mathematics
1 answer:
Lisa [10]3 years ago
5 0

Answer:

<h2>The arc PSQ is 302°.</h2>

Step-by-step explanation:

We know that the total length of the circumference is 360°. In this case, that total is divide in two arcs PQ and PSQ, so

PQ+PSQ=360\°

Replacing given values, we have

PSQ=360-58=302\°

Therefore, the arc PSQ is 302°.

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
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Equality Properties

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Step-by-step explanation:

<u>Step 1: Define</u>

-4p + 9 = -5

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Subtract 9 on both sides:                     -4p = -14
  2. Divide -4 on both sides:                       p = 7/2

<u>Step 3: Check</u>

<em>Plug in p into the original equation to verify it's a solution.</em>

  1. Substitute in <em>p</em>:                    -4(7/2) + 9 = -5
  2. Multiply:                               -14 + 9 = -5
  3. Add:                                     -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

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