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Makovka662 [10]
3 years ago
13

1) ACT Prep: Linear Pair angles have measures (6x -9)°and (9x-6)° 1.

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

The measure of angles are 69 degree and 111 degree

<em><u>Solution:</u></em>

Given is linear pair angles

The measure of angles are: (6x - 9) degrees and (9x - 6) degrees

A linear pair of angles is formed when two lines intersect.

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Therefore,

(6x - 9) + (9x - 6) = 180\\\\\text{Remove the parenthesis and solve}\\\\6x - 9 + 9x - 6 = 180\\\\\text{Combine the like terms}\\\\6x + 9x - 15 = 180\\\\15x - 15 = 180\\\\\text{Move the constants to right side}\\\\15x = 180 + 15\\\\15x = 195\\\\x = 13

<em><u>Thus the measure of angles are:</u></em>

(6x - 9) \text{ degrees } = 6(13) - 9 = 78-9 = 69 \text{ degrees }\\\\(9x - 6) \text{ degrees } = 9(13) - 6 = 117 - 6 = 111 \text{ degrees }

Thus measure of angles are 69 degree and 111 degree

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Christopher is going to install wallpaper on the four walls of his room. Two of the walls are 14 feet long by 9 feet high. The o
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Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft

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Total area = 252 ft² + 360 ft² = 612 ft²

Cost of 1 single roll: $20
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3 years ago
Read 2 more answers
You are building a scale model of a fishing boat. The boat is 62 ft long and 23 ft wide. The
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The wide of the model should be approximately 5.194 inches

Step-by-step explanation:

You are building a scale model of a fishing boat

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We need to find how wide should it be

∵ The boat is 62 feet long

∵ The model of the boat is 14 inches long

- That means 14 inches represents 62 feet

By using the ratio method

→ Actual (ft)    :    Model (in)

→ 62               :    14

→ 23               :     x

By using cross multiplication

∵ 62 × x = 23 × 14

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- Divide both sides by 62 to find x

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∵ x represents the wide of the model

∴ The wide of the model is approximately 5.194 inches

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Learn more:

You can learn more about the scale drawing in brainly.com/question/570757

#LearnwithBrainly

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7 0
3 years ago
HELP PLEASEEEEEEEEEEE
professor190 [17]
Question 5:
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