Question

Please help me with the process to find the answer for #3, #4 and #5

Thank you it’s very much appreciated! :)

Answer 1

#3 When you set the proportion make sure you pick sides that oppose same angle and take them in same order (for example big triangle first and small second)

( 2x+2)/10= (x-2+3)/(x-2);

(2x+2)(x-2)=10(x+1);

2x^2 -4x+2x-4=10x+10;

2x^2 -2x-4-10x-10=0;

2x^2 -12x-14=0; divide by 2

X^2 -6x-7=0; factor

(X-7)(x+1)=0 so x=7 and x=-1

Reject x=-1 because we can’t have negative dimensions so x=7 is the solution