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djverab [1.8K]
2 years ago
14

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

Answer:

Step-by-step explanation:

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

find the value of x

x + 2x + x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 : 4

x = 43

find angles

2x = 43 * 2

2x = 86°

-------

x = 43°

--------

x + 8 = 43 + 8

x = 51°

-----------------------

check

86 + 43 + 51 = 180°

the answer is good

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The gallons of the first brand of antifreeze should be 60 gallons.

The gallons of the second brand of antifreeze should be 90 gallons.

<h3>What are the linear equations that represent the question?</h3>

0.2f + 0.45s = 52.50 (0.35 x 150) equation 1

f + s = 150  equation 2

Where:

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how many gallons of each brand of antifreeze must be used?

Multiply equation 2 by 0.2

0.2f + 0.2s = 30 equation 3

Subtract equation 3 from equation 2

0.25s = 22.50

s = 22.50 / 0.25

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2 years ago
Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approxi
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Answer:

653.84 lbs.

Step-by-step explanation:

To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.

The x component of the 300 lb force is 300cos(60)=150 lbs.

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The x component of the total force is the sum of the x components of the two forces.

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The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.

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3 years ago
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