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serious [3.7K]
3 years ago
8

I just need someone to explain please

Mathematics
1 answer:
slava [35]3 years ago
5 0
<h3><u>Given</u><u>:</u></h3>

line m || line n

<h3><u>To</u><u> </u><u>Find</u><u>:</u></h3>

The value of x.

<h3><u>Alternate</u><u> </u><u>Interior</u><u> Angles</u><u>:</u></h3>

The angles formed when a transversal intersects two parallel lines ( m and n ).

<h3><u>Explan</u><u>ation</u><u>:</u></h3>

6x + 10° = 5x + 28° ( Alternate Interior Angles )

By transposition method, we get

6x - 5x = 28° - 10°

By simplifying the like terms, we get

x = 18°

<h2><u>Answer</u><u>:</u></h2>

The value of x is 18°.

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Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

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

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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