Question

Given that segments RS and RT are tangent to circle Q, find the length of RS.

A) 2.1
B) 8.4
C) 10.5
D) 4.2

Answer 1

http://prntscr.com/c69fc3

Answer 2

set them equal to each other and solve for x

and then plug in in to x/4 to find the value of RS

you can even plug it in to RT since they both have the same length

Answer 3

I got the answer of 25.2 i'm not sure what I did wrong?

Answer 4

x/4 = x - 6.3

Multiply both sides by 4

4 * x/4 = 4 * (x - 6.3)

make sure to distribute the 4 on the right hand side

Answer 5

I got the answer of 1.575.

Answer 6

Can you show your work? :)

Answer 7

\[\frac{ x }{ 4 } = x-6.3\]
\[4* \frac{ x }{ 4 } =x-6.3*4\]
\[16= x-25.2\]
\[x= 1.575\]

Answer 8

like I said earlier, you need to distribute the 4

4(x - 6.33)

use the distributive property: a(b -c) = ab - ac

Answer 9

6.3*

Answer 10

\[4x-25.2\]
\[x=6.3\]

Answer 11

not quite

\[\frac{ x }{ 4 } = x-6.3\]
\[4* \frac{ x }{ 4 } =(x-6.3)*4\]
\[x= 4x-25.2\]

subtract 4x on both sides and then isolate x

Answer 12

I got 21.2

Answer 13

how?

what is x - 4x = ?

Answer 14

I subtracted 4x from 25.2. is that wrong?

would it just be 4 ?

Answer 15

4x and 25.2 aren't like terms

Answer 16

Okay and what does that mean?

Answer 17

it means you can't add them

can you take one orange and one apple and say you have 2 oranges?

No. They aren't the same thing

Answer 18

hahah okay. so I what would the answer end up being?

Answer 19

we're almost there

what is 1 - 3 = ?

Answer 20

-2

Answer 21

so basically

x=4x−25.2

subtract 4x on both sides

x - 4x = 4x - 4x - 25.2

x - 4x = -25.2

now x - 4x is nothing but x(1 - 4) = x(-3) = -3x

-3x = -25.2

to get the final value of x, just divide by 3 on both sides

Answer 22

8.4

Answer 23

And that's your answer :)

Answer 24

Wow that was a lot of work. Thank you for helping me solve that problem.

Answer 25

It wasn't that much work. It just took a while to get on the right track :)