Question

What is the measure of AC ?
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PLZZ HELP!

Answer 1

Not sure what the symbols after the AC are but the arc is double the measure of the inscribed angle
So you would do \((2.5x+4)=2(7x-2)\)
or you can do this \(\frac{(2.5x+4)}{2}=(7x-2)\)
Which ever you feel more comfortable with

Answer 2

THnx u.

Answer 3

I mean this is not the answer you still have to solve for x, which one do you want to do?

Answer 4

ill do the first one.

Answer 5

Alright so we first have to distribute the 2
\((2.5x+4)=2(7x-2)\\
(2.5x+4)=14x-4\)
Do you know what to do from here?

Answer 6

No i dont.

Answer 7

So we have to get the x's on one side and the non-x values on the other side
\(2.5x+4=14x-4\)
Lets add 4 to both sides
\(2.5x+8=14x\)
Then we subtract 2.5x from both sides
\(8=11.5x\)
Do you know what to do from here?

Answer 8

x=0.61?

Answer 9

You would divide by 11.5 on both sides.
\(\frac{8}{11.5}=\frac{11.5x}{11.5}\\

\frac{8}{11.5}=x\\
or~x=0.69565\dots \)

Answer 10

ok thts what i got. thnx

Answer 11

Now we still aren't done, we are trying to find arc AC

Answer 12

what we have to do?

Answer 13

We have to substitute x back in for AC
\(AC=(7x-2)\)

Answer 14

7(8/11.5)-2

Answer 15

Right

Answer 16

2.869565217

Answer 17

Right?

Answer 18

Yes or you can write \(\frac{33}{11.5}\)
I don't know what specifically your teacher looks for (fraction or decimal)

Answer 19

its a percent.

Answer 20

Do you mean degrees?

Answer 21

yess thts what i mean.

Answer 22

Either are right, probably do the decimal

Answer 23

ok decimal how to put it as?

Answer 24

Probably round to the hundreths place
\(\approx0.87\)

Answer 25

ok

Answer 26

Wait.

Answer 27

what happen?

Answer 28

\(\color{#0cbb34}{\text{Originally Posted by}}\) @dude
Alright so we first have to distribute the 2
\((2.5x+4)=2(7x-2)\\
(2.5x+4)=14x-4\)
Do you know what to do from here?
\(\color{#0cbb34}{\text{End of Quote}}\)
Mistake here I wrote it incorrectly
Should be \((2.5x+4)=\frac{(7x-2)}{2}\)
:| Sorry about that that means that we didnt find the right answer

Answer 29

\(2.5x+4=\frac{(7x-2)}{2}\)
Multiply both sides by 2
\(2(2.5x+4)=(7x-2)\\
5x+8=7x-2\)
Add 2 on both sides then subtract 5 on both sides
\(10=2x\\
5=x\)

Answer 30

Then we substitute back into AC
\(AC=7x-2\\
=7(5)-2\\
=35-2\\
\boxed{AC=33}\)
That was my mistake, very sorry

Answer 31

Oh ok i got i u now.