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andreyandreev [35.5K]
4 years ago
14

The sum of the measures of the angles of a triangle is 180 degrees. the second angle is twice the measure of the first angle. th

e third angle is three times the measure of the second angle. find the measure of each angle
Mathematics
1 answer:
Luda [366]4 years ago
6 0
∠1 = x
∠2 = 2x
∠3 = 3 * 2x = 6x

x + 2x + 6x = 180
9x = 180
x = 180/9
x = 20°  ← <span>the first angle

</span>the second angle = 2 * 20 = 40°

<span>the third angle = 3 * 40 = 120</span>°
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Alekssandra [29.7K]

The equation of the segments perpendicular bisector is; y = -¹/₂x + 2

<h3>How to find the equation of the perpendicular bisector?</h3>

i) Since it is a perpendicular bisector, hence point M is the midpoint. Thus;

Midpoint (AB) = [(x₁ + x₂)/2], [(y₁ + y₂)/2] = (x_m, y_m)

Slope AB will be;

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Slope of perpendicular bisector is;

m₂ = -1/m₁

Equation of perpendicular bisector is;

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ii) Midpoint (AB) = [(-2 + 6)/2], [(3 - 1)/2] = (2, 1)

Slope AB will be;

m₁ = ((6 + 2)/(-1 - 3)) = -2

m₂ = -1/-2 = 1/2

Equation of perpendicular bisector is;

(y - 1) = -¹/₂(x - 2)

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y = -¹/₂x + 2

Read more about Perpendicular bisector at; brainly.com/question/11006922

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A recipe calls for 350 milliliters of milk. Ms. Buback has exactly 0.5 liters of milk in her refrigerator. After she makes the r
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Step-by-step explanation:

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Please help asap thanks so much!
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Answer:

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