Question

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

Answer 1

see explanation

Explanation:

6)

`(BC)/sin81=(BA)/sin52, => BC=20*(sin81/sin52)=~~25.07`
if I am not mistaken, `BC !=12`

7)

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)`