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Katena32 [7]
3 years ago
5

Find the value of x and y

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

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The correct answer is option b which is the break-even quantity will be 20217 units.

<h3>What is the break-even point?</h3>

The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.

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Step-by-step explanation:

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