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3 years ago

Given DA=5, A F=8, KE=x, and EF=12. What must the value of x be in order to prove AE||KD?

Mathematics

1 answer:

aksik [14]3 years ago

3 0

Answer:

The answer to your question is x = 7.5

Step-by-step explanation:

Process

I inserted the answer as an image because it said that I was writing inappropriate words.

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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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3 years ago

Read 2 more answers

To save for a new car, Trafton invested $3,000 in a savings account that earns 5.5% interest, compounded continuously. After fou

Law Incorporation [45]

Answer:

He will make $165 every year.

3000 + 165(4) = 3660 (this is his total amount)

He will need 4000 - 3660 = $340

<u><em>He will need an Additional $340.</em></u>

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2 years ago

50% more than what number is 20% less than 60% more than 10?

k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16; x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

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2 years ago

A radar gun was used to record the speed of a runner (in meters per second) during selected times in the first 2 seconds of a ra

Pavlova-9 [17]

Answer:

Step-by-step explanation:

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