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just olya [345]
3 years ago
5

The figure below shows two parallel lines intersected by a third line. What is the value of x

Mathematics
2 answers:
Alina [70]3 years ago
6 0

..Its ...13 º .......

lisabon 2012 [21]3 years ago
4 0

Answer:

x = 20

Step-by-step explanation:

The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:

(4x)° = (x + 60)°

Use the equation to solve for the value of x

4x = x + 60

Subtract x from both sides

4x - x = x + 60 - x

3x = 60

Divide both sides by 3

\frac{3x}{3} = \frac{60}{3}

x = 20

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Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.
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Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

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sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

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and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

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