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Given quadrilateral EFGH ~ quadrilateral WXYZ and GF = 10, HE = 16, and YX = 15, what is ZW?

Sagot :

zw is 24
i just drew myself a little sketch of the quadrilateral and substituted the lines with the given numbers.
made myself this: 10/16=15/x

Apologiabiologyid
so the quadrilaterals are simmilar, meaning the sides are in the same proportion
GF=10
HE=16
YX=15
ZW=x
so the sides corespond in the order in which they are named
EF to WX
FG to XY
GH to YZ
HE to ZW
we are given GF and YX
GF=10
YX=15
compareing quarilaterals (EFGH)/(WXYZ)
GF/YX=10/15=2/3
then we have
HE=16
ZW=x
so therefor the ratio ofthe sides of  (EFGH)/(WXYZ) is 2/3
HE is from EFGH so it goes on top
HE=16
16/x=2/3
multiply both isdes by x/16 to clear fraction
1=2x/48
multiply both sides by 48 to clear denomenartor (bottom number)
48=2x
divde by 2
24=x

ZW=24

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