Find the of X if triangle DBE ~ triangle ABC. please show work

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Simonberry asked Feb 12, 2023

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8 votes

Find the of X if triangle DBE ~ triangle ABC. please show work

Mathematics
high-school

Simonberry asked Feb 12, 2023

by Simonberry

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12 votes

Answer:

X= 7 units

Explanation:

since the triangles are similar the ratio. of their common sides will be equal so,

BE/BD= BC/BA

(4X-8)/18= 45/22.5

4X -8 = 18×2

4X= 36-8

X= 28/4

X= 7

Guvenckardas answered Feb 13, 2023

by Guvenckardas

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17 votes

BD/AB=BE/BC
18/18+22.5=4x-8/45
18/40.5=4x-8/45
40.5(4x-8)=810
4x-8=20
4x=28
x=7

Geraud Mathe answered Feb 16, 2023

by Geraud Mathe

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