3 years ago

WHAT IS THE LENGTH OF AC? Help me!!!

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

Given triangles are similar, so we setup a proportion

(140-x)/81 = x/9

solving gives x = 14
AC = 140-x = 140-14 = 126

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Which expression is equivalent to -

dedylja [7]

$x^\frac{4}{3} x^ \frac{2}{3}$ Lets get started :)

Referring to the picture I have uploaded might help you
We have the same base, which in this case is x.

When multiplication occurs in the same base, we add the powers
$x^\frac{4}{3} x^ \frac{2}{3}$
↓ (I am going to perform the problem separately and then give the final answer as the power to x)
$\frac{4}{3} + \frac{2}{3}$ = $\frac{6}{3} = 2$
↓
x²

$(x^2)^ \frac{1}{3}$

The power of a power should be performed by multiplying the powers together.
2 x $\frac{1}{3}$ = $\frac{2}{3}$

$x^\frac{2}{3}$

Your final answer will be the second option