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serious [3.7K]
3 years ago
5

Find the values of X and Y

Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

y is equal to 2 and x is equal to 31 degrees.

Step-by-step explanation:

In order to find this, we must note that similar parts of congruent triangles are congruent. Since y is congruent to the part that is labeled 2, then it is an easy comparison.

x is a bit trickier. For this one, we must find the missing angle of the first triangle. To get that, we must subtract the given angle and the right angle from 180. This will give us x.

180 - 59 - 90 = x

31 = x

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Linear equation <br><br> 4.5 + 1.5y=24<br> x-y=4
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4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x -  1.0y = 4   ⇒<u> 4.5x - 4.5y = 18</u>
                                             <u>6y</u> = <u>6</u>
                                              6     6
                                               y = 1
                             4.5x + 1.5(1) = 24
                                 4.5x + 1.5 = 24
                                 <u>         - 1.5    - 1.5</u>
                                          <u>4.5x</u> = <u>22.5</u>
                                           4.5      4.5
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