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Math question please help

Math Question Please Help class=

Sagot :

leena

Hello!

[tex]\large\boxed{x = 4.5}[/tex]

To solve, we can use proportions:

Since the triangles are similar, their side lengths will be proportional to each other. We can set up a proportion to solve for the missing side length. Remember to use corresponding sides:

CA ~ FD and AB ~ DE

Therefore:

[tex]\frac{6}{16} = \frac{x}{12}[/tex]

Cross multiply to solve for x:

6 · 12 = 16 · x

72 = 16x

Divide both sides by 16:

72/ 16 = 16x / 16

x = 4.5