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Alecsey [184]
3 years ago
11

Find the measure of each acute angle. Thank you!

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

55 for the top left and 35 for the top right

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

7x+6  + 6x -7 + 90 = 180

Combine like terms

13x+89 = 90

Subtract 89 from each side

13x+89-89 = 180-89

13x = 91

Divide by 13

13x/13 = 91/13

x =7

The top  left angle is

7x+6

7*7+6 = 49+6 = 55

The top right  angle is

6x-7

6*7-7 = 42-7 = 35

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What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)
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perpendicular lines have a slope that is a negative reciprocal


A) 4x-5y=5

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y-3 = -5/4 (x-5)

B)  5x+4y = 37

subtract 5x

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5y = -4x +5

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y = -4/5 x +1

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y -y1 =m(x-x1)  point slope form of a line

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y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

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y-3 = -4/5 (x-5)



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