lauraisaqr lauraisaqr

03-03-2021
Mathematics

contestada

Find the value of x.
A 2
B 4.8
C 6
D 6.4

Find the value of x A 2 B 48 C 6 D 64 class=

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Khaloodstudies Khaloodstudies

03-03-2021

A A A A A A A A A a a a a a a a a a a a

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jimrgrant1 jimrgrant1

03-03-2021

Answer:

D

Step-by-step explanation:

Δ DCA and Δ ABE are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CA}{BE}[/tex] = [tex]\frac{DA}{AE}[/tex] , substitute values

[tex]\frac{18}{10}[/tex] = [tex]\frac{x+8}{8}[/tex] ( cross- multiply )

10(x + 8) = 144 ( divide both sides by 10 )

x + 8 = 14.4 ( subtract 8 from both sides )

x = 6.4 → D

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