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omeli [17]
3 years ago
11

1. 112 2. 136 3. 68 4. 158 5. 129

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

4. 158

Step-by-step explanation:

First let's make things a little simpler and put these arcs in terms of x.  We know that the degree measure around the outside of a circle, regardless of its size, is 360.  So let's say that arc BC is x.  That means that arc BDC is 360 - x.  This is because arc BC + arc BDC = 360.  Substituting in our x's we have:

x + 360 - x = 360 and

360 = 360.  (That's just the proof that putting in our x's as we did does in fact work!)

Following the formula then, we have

22=\frac{1}{2}(360-x-x) and

22=\frac{1}{2}(360-2x)

Multiply both sides by 2 to get rid of the fraction and get

44 = 360 - 2x

Subtract 360 rom both sides to get

-316 = -2x

Divide both sides by -2 to get that x = 158

Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.

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2 years ago
If angle YWZ = 17, what is angle WXY?
marusya05 [52]
We know that

step 1
if ∡YWZ=17°
then
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step 2
∡WXY=∡WZY-------> because triangle XWY and triangle YWZ are congruents
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Answer:

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A

8 0
2 years ago
X + one over two(6x − 4) = 6
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The given equation is:

x+\frac{1}{2} (6x-4)=6.

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The correct option in which the equation is solved are : B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

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