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3 years ago

Find the product 12 , -5

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

The product of 12 and -5 is -5(12) = -60. Note that 12(-5) = -60 also.

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cynthia besch wants to buy a rug for a room that is 14ft wide and 23 ft long. She wants to leave a uniform strip of floor around

choli [55]

The room is 14w and 23 l

she can buy up to 190 sqft

190 factors into 10 and 19

14 - 10 = 4
23 - 19 = 4
Which are uniform

so the answer is 10 ft wide and 19 ft long

Hope this helps

8 0

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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Answer:

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3 years ago