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3 years ago

PLEASE HELP! I NEED TO FINISH THIS TONIGHT!

Mathematics

1 answer:

Evgen [1.6K]3 years ago

7 0

Easy peasy - Just don't worry about the weird equation format

turn it into a y=mx+b equation by subtracting the 2x to the other side making

y = -2x + 3

and then graph that like normal

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What is the definition of intersection In math?

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How are the symbols for greater than (>) and greater than or equal to (≥) related?

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a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of

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3 years ago

In the given figure, mWY = 76° and mXZ = 112. What is the difference of the measures of angle WPY and angle XPY?

skelet666 [1.2K]

Please consider the attached image for complete question.

We have been given that measure of arc WY is 76° and and measure of arc XZ is 112°. We are asked to find the difference of of the measures of angle WPY and angle XPY.

First of all we will find the measure of angle WPY using intersecting secants theorem. Intersecting secants theorem states that measure of angle formed by two intersecting secants inside a circle is half the sum of intercepting arcs.

$m\angle WPY=\frac{1}{2}(\widehat{WY}+\widehat{XZ})$

$m\angle WPY=\frac{1}{2}(76^{\circ}+112^{\circ})$

$m\angle WPY=\frac{1}{2}(188^{\circ})$

$m\angle WPY=94^{\circ}$

We can see that angle WPY and angle XPY are linear angles, so they will add up-to 180 degrees.

$m\angle WPY+m\angle XPY=180^{\circ}$

$94^{\circ}+m\angle XPY=180^{\circ}$

$94^{\circ}-94^{\circ}+m\angle XPY=180^{\circ}-94^{\circ}$

$m\angle XPY=86^{\circ}$

Now we need to find difference of both angles as:

$m\angle WPY-m\angle XPY=94^{\circ}-86^{\circ}$

$m\angle WPY-m\angle XPY=8^{\circ}$

Therefore, the difference of the measures of angle WPY and angle XPY is 8 degrees.

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