Im stuck in these 2 problems. Can someone help me?

enter image source here

1 Answer
CW
Apr 5, 2018

see explanation

Explanation:

6)
enter image source here
#(BC)/sin81=(BA)/sin52, => BC=20*(sin81/sin52)=~~25.07#
if I am not mistaken, #BC !=12#

7)
enter image source here
Dilation formula with center of dilation not at origin #(0,0)#:
Let #D# be the center of dilation at #(a,b)#, scale factor #=k#,
after the dilation, #A(x_a,y_a) -> A'(x,y)=(k(x_a-a)+a, " " k(y_a-b)+b)#,
given that #A(2,0), D(3,2)#, and scale factor #k=3#,
#=> A'=(3(2-3)+3, " "3(0-2)+2)#
#=> A'=(-3+3, -6+2)=(0,-4)#
Similarly, #B'=(3(-1-3)+3, " "3(1-2)+2)#
#=> B'=(-12+3, " " -3+2)=(-9,-1)#
Similarly, #C'=(3(1-3)+3, " "3(3-2)+2)#
#=> C'=(-6+3, " " 3+2)=(-3,5)#

Related questions
Impact of this question
846 views around the world
You can reuse this answer
Creative Commons License