Question

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Answer 1

x=21

Explanation:

61+34 = 95

360( a circle) - 95 = 265

265 +7 +22 = 294

9x+5x=14x

294=14x (divide both by 14 to get x)

X=21

Answer 2

x = 21

Explanation:

A circle makes a 360 degree turn

So the measure of the arcs should add up to equal 360

That being said we create an equation to solve for x

360 = 61 + 5x - 7 + 34 + 9x - 22

Now we solve for x using basic algebra

Step 1 combine like terms

61 - 7 + 34 - 22 = 66

5x + 9x = 14x

now we have 360 = 14x + 66

step 2 subtract 66 from each side

66 - 66 cancels out

360 - 66 = 294

now we have 294 = 14x

step 3 divide each side by 14

294/14=21

14x/14=x

we're left with x = 21