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natulia [17]
3 years ago
13

What is the value of x? sin(x+21)°=cos(2x+21)°

Mathematics
1 answer:
qaws [65]3 years ago
6 0
We know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°

in this problem
(x+21)+<span>(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16</span>°
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Answer:

\displaystyle m=\frac{1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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  • Left to Right<u> </u>

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 1)

Point (2, 2)

<u>Step 2: Identify</u>

x₁ = 0, y₁ = 1

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<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points/variables [Slope Formula]:                                            \displaystyle m=\frac{2-1}{2-0}
  2. [Slope] [Fraction] Subtract:                                                                              \displaystyle m=\frac{1}{2}
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