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Olenka [21]
3 years ago
12

Please help thank you.

Mathematics
1 answer:
alex41 [277]3 years ago
6 0
Hello!

The degrees in a circle add to 360°

Since WZ is a diameter the angles on one side of the line add to 180°

We know that the angles to the right of WZ add to 180 and the angle of XW is 63.

We add these to get ZWX

180 + 63 = 243

The answer is 243°

Hope this helps!
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Find the value of x. Round to<br> the nearest tenth.
denpristay [2]

Answer:

\displaystyle x \approx 38.2 ^{\circ}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

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<u>Pre-Calculus</u>

Law of Sines: \displaystyle \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}

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Step-by-step explanation:

<u>Step 1: Identify</u>

A = 27°, a = 11

B = x°, b = 15

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

  1. Substitute [LOS]:                     \displaystyle \frac{sin(27^{\circ})}{11} =\frac{sin(x^{\circ})}{15}
  2. Cross-multiply:                        \displaystyle 11sin(x^{\circ}) = 15sin(27^{\circ})
  3. Isolate <em>x</em> term:                         \displaystyle sin(x^{\circ}) = \frac{15sin(27^{\circ})}{11}
  4. Isolate <em>x</em>:                                  \displaystyle x = sin^{-1}(\frac{15sin(27)}{11})
  5. Evaluate:                                 \displaystyle x = 38.2488 ^{\circ}
  6. Round:                                    \displaystyle x \approx 38.2 ^{\circ}
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Answer:

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Step-by-step explanation:

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