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3 years ago

PLEASE HELP ME IN MATHS !!!!!

Mathematics

1 answer:

skad [1K]3 years ago

8 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The formula tells you the diameter is 2 times the radius. Pick some values for radius and multiply them by 2 to get the diameter. The graph will be a straight line through the origin with a slope of 2.

(Strictly speaking, the graph should not extend to negative values, as negative values for radius and diameter make no sense in the real world.)

We did not put unit labels (cm, feet, yards, km, light-years, etc.) on the graph axes. For a slope of 2, the graph needs the same units on both axes. They can be whatever units of distance you might choose.

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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?.

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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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