LaminH27224 LaminH27224
  • 03-11-2022
  • Mathematics
contestada

I need help, I’m not sure which one is the answer

I need help Im not sure which one is the answer class=

Respuesta :

RutledgeJ397380 RutledgeJ397380
  • 03-11-2022

Given the triangles are similar, the pair of corresponding sides are proportional.

Then,

[tex]\frac{AB}{ED}=\frac{BC}{EF}[/tex]

Knowing that:

AB = 30

ED = 5

BC = 42

EF = x

Substituting the values:

[tex]\begin{gathered} \frac{30}{5}=\frac{42}{x} \\ 6=\frac{42}{x} \end{gathered}[/tex]

Multiplying both sides by x and then dividing the sides by 6.

[tex]\begin{gathered} 6*x=\frac{42}{x}*x \\ 6x=42 \\ \frac{6x}{6}=\frac{42}{6} \\ x=7 \end{gathered}[/tex]

Answer: x = 7.

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