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Evgen [1.6K]
3 years ago
8

In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

so

BP=\frac{1}{2}AC

DP=BP

step 1

Find the value of x

BP=\frac{1}{2}AC

substitute the given values

(-9x+19)=\frac{1}{2} (-x+21)

solve for x

Multiply by 2 both sides

-18x+38=-x+21

18x-x=38-21\\17x=17\\x=1

step 2

Find the value of y

DP=BP

we have

BP=-9x+19

DP=-y+5

substitute

-y+5=-9x+19

substitute the value of x

-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5

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y=\frac{1}{2}x-2

Step-by-step explanation:

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3 years ago
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3 years ago
Charlie Carr has a sheet of brass that is 33 inches wide and cuts two pieces that are each 8
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Step-by-step explanation:

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Step-by-step explanation:

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Hope it helps:-)

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