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swat32
3 years ago
8

I need the steps to this, please. It says solve for x. Each figure is a parallelogram. Show your work.

Mathematics
1 answer:
Trava [24]3 years ago
5 0
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.

FH is one diagonal that is split into two equal pieces by the other diagonal EG.

The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH


By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH

Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)

and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8

----------------------------------------
----------------------------------------

Answer: x = 8

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Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

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Let :

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E = event

Probability that it is the biased coin:

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([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

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3 years ago
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const2013 [10]
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4 years ago
Making art and can help you find a difference 13 - 5 ​
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Here's how to solve

Step-by-step explanation:

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3 years ago
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Artemon [7]
The answer is w⁻²/v⁻².

v/w raised to the second power is (v/w)²

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Since xᵃ = 1/x⁻ᵃ, then v²/w² = 1/v⁻²w²

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3 years ago
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Ainat [17]

Answer:

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Hope that helps :)

4 0
3 years ago
Read 2 more answers
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