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NARA [144]
3 years ago
9

2 (3x+1)=17-3 (x-17)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0
<h2>Answer:</h2>

x =  \frac{22}{3}

<h3>alternative form:</h3>

x = 7 \frac{1}{3}  \: or \: x = 7.33333333333

<h2>Step-by-step explanation:</h2>

2(3x + 1) = 17 - 3( x - 17) \\ distribute \\  \\ 6x + 2 = 17 - 3x  + 51 \\ add \: 3x \: from \: both \: sides \\  \\ 9x + 2 = 17  +  51 \\ add \: 17 \: to \: 51 \\  \\ 9x + 2 = 68 \\ subtract \: 2 \: from \: both \: sides \\  \\ 9x = 66 \\  divide \: both \: sides \: by \: 9 \\  \\ x =  \frac{22}{3}

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Step-by-step explanation:

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The complete question is

"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

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The value of angle x would be 16.7 degrees.

<h3>What is the right triangle?</h3>

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

The angle of a right angle is always 90 degrees.

In order to find the value of x, a tan would be used.

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Tan Ф = opposite / adjacent

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= 16.7 degrees

The value of angle x would be 16.7 degrees.

Learn more about a right angle;

brainly.com/question/7116550

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