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Mathematics 22 Online
OpenStudy (studygurl14):

HELP PLEASE!!! I GIVE MEDALS!!! QUESTION FOLLOWS!

OpenStudy (studygurl14):

m<S = 30 degrees, measure of arcRS = 84 degrees, and line RU is tangent to the circle at R. Find m<U. The figure is not drawn to scale.

OpenStudy (studygurl14):

@SolomonZelman @hartnn

OpenStudy (studygurl14):

@RaphaelFilgueiras

ganeshie8 (ganeshie8):

use this :- external angle = (far arc - near arc)/2

OpenStudy (studygurl14):

so I have to find arcRT first?

ganeshie8 (ganeshie8):

yes, near arc RT = 2x inscribed angle

ganeshie8 (ganeshie8):

you're given inscribed angle S = 30, so...

OpenStudy (studygurl14):

oh, so would m<U = 12 degrees?

ganeshie8 (ganeshie8):

\(\large \color{red}{\checkmark}\)

ganeshie8 (ganeshie8):

good work !!

OpenStudy (studygurl14):

could you help me with another one?

ganeshie8 (ganeshie8):

sure

OpenStudy (studygurl14):

Find the value of x for the measure of arcAB = 27° and the measure of arcCD = 49°. The figure is not drawn to scale

OpenStudy (studygurl14):

I think it is 38 degrees. I'm not sure tho

ganeshie8 (ganeshie8):

38 is right, may i knw how u got that ha ?

OpenStudy (studygurl14):

(27 + 49)÷2

ganeshie8 (ganeshie8):

thats correct formula !

OpenStudy (studygurl14):

Find m<D for m<B = 65°. The figure is not drawn to scale

ganeshie8 (ganeshie8):

hint : radius and tangent make 90 degree angle

ganeshie8 (ganeshie8):

hint2 : sum of angles in a quadrilateral = 360

OpenStudy (studygurl14):

OH!! Sorry I remember how to do this now. hold on

ganeshie8 (ganeshie8):

good :) let me knw if u need more hints lol

ganeshie8 (ganeshie8):

it can be tricky :o

OpenStudy (studygurl14):

is it 115°?

ganeshie8 (ganeshie8):

115 = \(\large \color{red}{\checkmark}\)

OpenStudy (studygurl14):

A park maintenance person stands 16m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 47 degrees. What is the measure of the arc of the monument that her lines of sight intersect?

OpenStudy (studygurl14):

No pic. :(

ganeshie8 (ganeshie8):

lets draw a pic :)

ganeshie8 (ganeshie8):

|dw:1389118044771:dw|

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