Question

which of the following is the value of x to the nearest tenth?

Answer 1

A. 2.8
B. 4.2
C. 4.8
D. 6.9

Answer 2

i#m assuming the line length 14 is a tangent to the circle Right?

Answer 3

If you use the Pythagorean theorem, \[a^2+b^2=c^2\]
\[x^2+14^2=(x+10)^2\]
Now solve for x.

Answer 4

if so we have a right angled triangle so
(x + 10)^2 = x^2 + 14^2

Answer 5

That is what I thought to do but the last time I answered a similar question using that approach I got it wrong
so I was wondering if there was another way to solve it.

Answer 6

so this is the right way to solve it sure

Answer 7

Iis it? I'm not sure at all.

Answer 8

why try and i will check it than is right or not - ok. ?

Answer 9

I can't think of another way myself.

Answer 10

I tried 196-100= square root of 96 and got 9.7

Answer 11

am I using the wrong formula?

Answer 12

yea there is a theorem linking then square of the tangent to a line pasing through the circle but the pythagoras way is the easiest

Answer 13

i think its a^2 = c(b + c)

Answer 14

so here we have
14^2 = 10(10+2x)

Answer 15

giving x = 4.8

Answer 16

well aths one of the choices so maybe my memory serves me correctly!

Answer 17

yea that gives the same result as the pythagoras method

Answer 18

OK?

Answer 19

r u still there?

Answer 20

I'm sorry I'm back.

Answer 21

but your explanation makes sense thank you!