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 Mar 14, 2019
 #1
avatar+105454 
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1. 

a    radii    = AC  and AD           tangents = EC and ED

 

b      AED forms a right triangle with hypotenuse AC = 17  and leg AC = 8

        Using the Pythagoren Theorem,  DE  =  sqrt [ AC^2 - AC^2 ] = sqrt [ 289 - 64 ] =

        sqrt [ 225]  =  15

 

2.  B is translated up 1 unit and to the left 9 units

     The scale factor  is 2

      Don't know what "conclusion"  they want

 

3.   Angles O and Q are supplementary...so

        (x + 17) + ( 6x - 5) =  180

         7x + 12   =  180      subtract 12 from both sides

           7x  =  168    divide both side by 7

            x = 24

 

P and R are also supplementary...so

 

y + (2x + 19)  =  180

y +  (2*24 + 19) = 180

y + 67  = 180      subtract 67  from both sides

y = 113

 

 

Angle O  =   x + 17 =  24 + 17  = 41 degrees

Angle Q =  6(24) - 5  =  139 degrees

Angle P = y =  113 degrees

Angle R =  2(24) + 19 =  67 degrees

 

Arc RP  =  2 * measure of angle O  =  2 * 41   =   82 degrees

 

 

cool cool cool

 Mar 14, 2019

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