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
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Answer: x = 8
18/3=6
6x2=12
She can get 12 books from the store
528 will be your answer.
Step-by-step explanation:
408 / 17 = 24
1 case = $24.00
24 x 5 = 120
408 + 120 = 528
Answer: 6x + 15
Step-by-step explanation: The distributive property tells us that if we are given an expression such as 3(2x + 5), we can multiply the 3 by both the 2x and the 5 to get 6x + 15.
My work is also shown below.
