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aleksklad [387]
3 years ago
15

Use the set of clues in the equations below to find the value of each variable .

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
There are many ways to solve this problem. All you have to do is simple algebraic manipulation. Solve for b and h with the two simpler equations:
2b = 12; divide 2 on both sides to get b = 6
h - x = 2; add x to both sides to get h = (2 + x)

Plug this stuff into the first equation to solve for x. Once we solve for x, we can plug that x value into the equation for h. Because you can see we didn’t get an actual numerical value for h. So:
x + (2+x) + 6 = 14
Subtract 6 from both sides and distribute that plus sign to get rid of the parenthesis. Then combine the like terms to get:
2x + 2 = 8
Subtract 2 from both sides and divide by 2 to get x = 3

Finally plug it into the equation for h:
h = 2+3 = 5
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Answer:

1. 69°

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Step-by-step explanation:

To find the angle measure of the missing angle, we have to note that the angle measures of a quadrilateral will all equal up to be 360°.

If we know 3 out of the 4 angles and the sum of the angles, we can add up the angles we know then subtract that from 360.

<em>Number 1:</em>

87+112+92=291

360-291=69

<em>Number 2:</em>

<em></em>124+71+68=263<em></em>

<em></em>360-263=97<em></em>

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<em>Number 3:</em>

<em></em>95+46+74=215<em></em>

<em></em>360-215=145<em></em>

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<em>Number 4:</em>

<em></em>72+49+89=210

360-210=150

<em>Number 5:</em>

<em></em>69+65+98=232<em></em>

360-232=128

<em>Number 6:</em>

<em></em>77+123+86=286<em></em>

<em></em>360-286=74<em></em>

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<em><u>Hope this helped!</u></em>

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