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Answered

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Find the value of x, given that mangle PQS = 110°.
Round the answer to one decimal place if necessary.

72+10x

(gotta find value for X)

Sagot :

przemyslawstefaniak
90+10x



(value of x)

So the answer is 90.8°



The correct answer would be 88.5° because 72 + 10X = 90 + X and then you have to subtract that from 110 degrees. (110 - 90 = 20, 20 / 2 = 10, so you add 10 to both sides of the equation)



110-90=20

20/2=10

10+X=10

X=0.5°

110-90+0.5 = 20.5 and that answer is rounded up to 21°

(The reason it is not rounded down to 20° is because 10/2 is 5 but you don't add it to 10 so it would be rounded down)

So the answer is 88.5°



X=88.5 ° Note: "That" in that mangle PQS = 110 ° does not refer to the answer x and therefore should be omitted. Example: Given mangle PQS = 110 °, find the value of x.



Answer: 90.8° (rounded up to the nearest degree)

Note: In free response questions, typically one decimal place is needed in the answer even if no decimal places are given in the question. For example, 1/3 is 0.33333..., and the answer is 0.3 (not 0).



88.5° should be rounded up to 90° because you add 72 + 10x which equals 90 + x and then you subtract that from 110 degrees which gives you 20 degrees. Then 20/2 = 10 so that's when you add 10 to both sides. 110 - 90 + 0.5 equals 20.5 but since 10/2 is 5 and you add that to 10 so it's now 29.5 which means you have to subtract 15 from both sides of the equation (since you can't subtract half a degree) which leaves you with 14.5 degrees, which rounds up to 15 degrees. So the answer is 88.5°.

So the correct answer should be 90°
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