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valkas [14]
3 years ago
7

Point Y is in the interior of ∠XWZ. Given that WX→ and WZ→ are are opposite rays, and m∠XWY=4(m∠YWZ) is m∠YWZ?.

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer:

m∠YWZ=36°

Step-by-step explanation:

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.

If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.

Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then

m∠XWY+m∠YWZ=180°

You are given that

m∠XWY=4(m∠YWZ).

Substitute it into the previous equality:

4(m∠YWZ)+m\angle YWZ=180°

5(m∠YWZ)=180°

m∠YWZ=36°

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Svetllana [295]

Answer:

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).

Step-by-step explanation:

Misha's group was asked to write an expression equivalent to  

7y²z + 3yz² - 3

When Mr. Chen checked their answers, he found only one to be correct.

And she was Helena.

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).  

Because, (7y²z + 6yz²- 5 - 3yz² + 2)

= 7y²z + (6yz² - 3yz²) - (5 - 2)  

= 7y²z + 3yz² - 3 (Answer)

4 0
3 years ago
Equivalent fractions for 2 1/5 and 1 5/6
Verizon [17]
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3 0
3 years ago
The total number of cats and dogs at the shelteris 125. there are 5 more cats than dogs
juin [17]
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Then check your answer by adding 60 and 65, the number of cats. 60+65=125.

There are 60 dogs inside the kennel.
5 0
3 years ago
Isaiah has h baseball cards. Michael gas 7 more baseball cards than Isaiah. Write an expression for the number baseball cards th
deff fn [24]

Answer:

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2 years ago
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Alex787 [66]

Answer:

Volume of the cylinder = 62.80 units^3

Step-by-step explanation:

Height of the Cylinder(h)=5 units

Radius(r)=2 units

Volume of a cylinder=\pi *r*r*h

     Putting the values in the formula;

Volume of the cylinder =\pi *2*2*5

                      As,   \pi =\frac{22}{7}=3.14                        

Volume of the cylinder=  3.14*2*2*5

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The Volume of the cylinder is 62.80 units^3

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2 years ago
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