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Juli2301 [7.4K]
3 years ago
6

A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 18 ) ∘ ∠A=(2x+18) ∘ and m ∠ B = ( 6 x + 8 ) ∘ ∠B=(6x+8) ∘ , then fi

nd the measure of ∠ B ∠B
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

<B = 56 degrees

Step-by-step explanation:

The sum of two complementary angle is 90 degrees

Hence <A + <B = 90

2x++18 + 6x + 8 = 90

8x + 26 = 90

8x = 90-26

8x = 64

x = 64/8

x = 8

Get <B

<B = 6x+8

<B = 6(8) + 8

<B = 48+8

<B = 56 degrees

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Answer:

∠FGB = 111°

Step-by-step explanation:

FGBE is a Kite. If you draw a line segment from F to B in bisects ∠GBE and ∠GFE into two triangles. The angles of a triangle with always add up to 180°. So, in triangle FBG, ∠GFB = 45° and ∠GBF = 24°. You subtract 45 and 24 from 180 and you are left with 111°.

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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
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The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

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Solving the system of equations we have:

20x + 15(190 -x) = 3225

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y = 190 - x

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Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

Learn more about equations here;

brainly.com/question/10413253

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2 years ago
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where are the ordered pairs

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