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oksano4ka [1.4K]
3 years ago
11

Find the unknown angle measure by solving for the given variable.Supplementary angles​

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

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

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It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked
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Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\frac{1}{tb} = \frac{1}{5} + \frac{1}{10}

\frac{1}{tb} = \frac{4}{20} + \frac{2}{20}

\frac{1}{tb} = \frac{6}{20}

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So, it would take them 3.33 hours when working together.

5 0
3 years ago
If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami
masha68 [24]

A

The volume (V) of a pyramid is found using the formula

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3 0
3 years ago
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Varvara68 [4.7K]

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What is the place value of 1 in 209.631?
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7 0
3 years ago
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Step-by-step explanation:

step 1. 1-12/20 = 1.6

step 2. 1.6 = 160%.

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2 years ago
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