Respuesta :

wegnerkolmp2741o

Answer:

136

Step-by-step explanation:

The triangles are similar so we can use ratios

3          x

----- =-------

51         144-x

Using cross products

3(144-x) = 51x

Distribute

432 - 3x = 51x

Add 3x to each side

432 = 54x

Divide each side by 54

432/54 = 54x/54

8 = x

We want the length of AC

AC = 144-x

     = 144-8

     =136

osikbro

Answer:

D. 136

Step-by-step explanation:

Since these two triangles are similar by AA:

[tex]\dfrac{51}{3}=\dfrac{144-x}{x} \\\\17=\dfrac{144-x}{x} \\\\17x=144-x \\\\18x=144 \\\\x=8 \\\\AC=144-x=144-8=136[/tex]

Hope this helps!

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