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Hi, I need help with these asap please please. Thank you so much for your time

Guest Mar 7, 2018
edited by Guest  Mar 7, 2018
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4+0 Answers

 #1
avatar+86536 
+1

First  one  :

 

A radius meeting a tangent does so at right angles.....so

 

angle ACB  and angle ABC  are complementary angles  in right triangle  ABC

 

So  

 

24  +  angle ABC  =  90   subtract 24 from  both sides

 

 angle ABC  =  66° 

 

PS  - if this is from VixenGrace....I answered your other multi-part question from  yesterday.......

 

 

cool cool cool

CPhill  Mar 7, 2018
 #2
avatar+86536 
+1

Second one :

 

Itersecting chord theorem :  When two chords meet in a circle.....the products of their respective individual segments are equal

 

This implies that

 

DP *  BP  = AP * PC

 

4 * BP  =   3.5 * 6   simplify

 

4 * BP  = 21   divide both sides by  4

 

BP =  21 / 4  =   5.25

 

 

cool cool cool

CPhill  Mar 7, 2018
 #3
avatar+86536 
0

Third one :

 

Here....I'm assuming that  YX  is tanglent to the circle

 

This is known as the  tangent-secant theorem....it says that

 

YX^2 = ZY  * VY    ....so......

 

YX^2   =  (28 ) * 9

 

YX^2  =  252        take the positive root

 

YX  = √ 252   =  √ [ 36 * 7  ]  =  6√7   =  15.87 m

 

 

cool cool cool

CPhill  Mar 7, 2018
 #4
avatar+86536 
+1

Lastly  :

 

B + D   = 180

 

(2x + 3)  +  ( 4x + 3)  = 180

 

6x + 6  = 180

 

6x  = 174

 

x  =   29

 

So.... C  =  2*29 + 1    =   59°

 

 

cool cool cool

CPhill  Mar 7, 2018

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