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Drupady [299]
3 years ago
8

Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

  • 8x - 20 = 5x + 37

  • 8x - 5x = 37 + 20

  • 3x = 57

  • x = 57 ÷ 3

  • x = 19
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and:  vertical angles are congruent; 

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1) In class you worked with a "big" cube made of 27 smaller cubes each of which was 1 cmby 1 cm by 1 cm. Suppose you had 150 of
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This means you would have 3 smaller cubes on the length, 3 smaller cubes on the width and 3 smaller cubes on the height.

Therefore, if you now have 150 of the smaller cubes, by factoring this you would have the following possibility;

\begin{gathered} 150=2\times3\times5\times5 \\ 150=6\times5\times5 \end{gathered}

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That means with 150 smaller cubes you could make a cube with the dimensions,

\begin{gathered} \text{Length}=6\operatorname{cm} \\ \text{Width}=5\operatorname{cm} \\ \text{Height}=5\operatorname{cm} \end{gathered}

ANSWER:

The largest big cube you could make would be a 6 cm by 5 cm by 5cm big cube

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