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Find the value of x.
FG perpendicular to OP, RS perpendicular to OQ, FG=20, RS=24, OP=14
 10 months ago
 10 months ago
Find the value of x. FG perpendicular to OP, RS perpendicular to OQ, FG=20, RS=24, OP=14
 10 months ago
 10 months ago

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Emily778Best ResponseYou've already chosen the best response.1
@Hunus @jim_thompson5910
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
let r = radius of the circle
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
by the pythagorean theorem, we can say (FP)^2 + (OP)^2 = (OF)^2 10^2 + 14^2 = r^2 solve for r and tell me what you get
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
100 + 196 = 296^2. Now what?
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
r^2 = 296 so r = ???
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
r^2 is 296, not r
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
don't square it though
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
how do you undo squaring something
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you did sqrt(296) right?
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
it's close, but not correct
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
sqrt(296) = 17.2046505340852 round to whatever place you need to
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
17.2 isn't one of the answers. Only 16.9
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
but remember, we want x, not r
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
we use r to get x
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
the possible answers are: 16.9, 14, 12.3, and 12..
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
\[\large r = \sqrt{296} \rightarrow r^2 = 296\] \[\large (OQ)^2 + (RQ)^2 = (OR)^2\] \[\large (OQ)^2 + (RQ)^2 = r^2\] \[\large x^2 + 12^2 = 296\] \[\large x^2 + 144 = 296\] ... ... ... \[\large x = ???\]
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
\[\large x^2 = 152\] so \[\large x = ???\]
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
good, x is roughly 12.3
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
What about this one?
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what about it? what do you want to find? and what are you given?
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
Oh. Lol. Forgot.\ AB is a diameter and AB is perpendicular to CD.
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
alright so that's all the given info?
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
I know the angles are all 90 degrees.
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what do you need to find exactly?
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
Find BD for AC= 58 DEGREES
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
AC is a segment, not an angle
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so is it ACP or ACB that's 58 degrees
 10 months ago

Emily778Best ResponseYou've already chosen the best response.1
This is exactly what it says. Find m BD for m AC= 58 degrees.
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
oh arc AC, gotcha
 10 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
angle APC = (1/2)*(arc AC + arc BD) 90 = (1/2)*(58 + x) 90*2 = 58 + x 180 = 58 + x solve for x
 10 months ago
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