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Vesna [10]
11 months ago
13

Find mZXZx(5t - 13°Y(3t+ 3)

Mathematics
1 answer:
trapecia [35]11 months ago
7 0

The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

undefined

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2 years ago
Mr. Gengel wants to make a shelf with boards that are 1 1/3 feet long. If he has an 18 foot board, how many pieces can he cut fr
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Let us assume that the number of pieces that can be cut = x
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Then
4x/3 = 18
4x = 18 * 3
4x = 54
x = 54/4
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As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.
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2 years ago
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kirill [66]
You can do:

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3 years ago
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