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andrezito [222]
3 years ago
14

5+3=4d please help me

Mathematics
2 answers:
ad-work [718]3 years ago
4 0
So the object of this problem is to find out the value of d.

To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.

No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.

So you would write the answer as:

5+3=4(2)
Ksenya-84 [330]3 years ago
3 0
5 + 3 = 4d

First, add '5 + 3' to get '8'.
8 = 4d

Second, divide both sides by '4', leaving the 'd' by itself.
\frac{8}{4} = d

Third,  (8 ÷ 4), simplify the fraction to '2'.
2 = d

Fourth, you can switch your sides.
d = 2

Answer: \fbox {d = 2}

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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})

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

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

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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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