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NARA [144]
4 years ago
9

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

Mathematics
1 answer:
elena-14-01-66 [18.8K]4 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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Supplementary angles mean that two angles equal to 180°.

Let us assume the 2 angles are angle A and angle B.

Angle A is 4 times bigger than Angle B, the supplement.

Let Angle B be represented by x.

Angle A is 4x ; Angle B is x.

4x + x = 180°
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4x = 4(36°) = 144° This is the measure of angle A.

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