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a. 3
b. 4
c. 6
d. 8


A 3 B 4 C 6 D 8 class=

Sagot :

Answer:

D. x = 8

Explanation:

Triangle ACD is an enlarged triangle of Triangle ABE

so an equation can be formed to solve this:

[tex]\frac{3x}{30}[/tex] = [tex]\frac{48}{30+30}[/tex]

[tex]\frac{3x}{30}[/tex] = [tex]\frac{48}{60}[/tex]

3x * 60 = 48 * 30

180x = 1440

x = 1440 ÷ 180

x = 8

Triangle ACD is an enlarged triangle of Triangle ABE

so an equation can be formed to solve this:

[tex]\frac{3x}{30} = \frac{48}{30 + 30} [/tex]

[tex] \frac{3x}{30} = \frac{48}{60} [/tex]

[tex] \frac{3x}{60} = \frac{48}{30} [/tex]

[tex]180x = 1440[/tex]

[tex]x = \frac{1440}{180} [/tex]

[tex]x = 8[/tex]

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