b. Triangle ABC is similar to triangle EBD. Find the lengths of segments BD and BE. Show all your work.

BD=4/3 BE=5/3

Step-by-step explanation:

by pythag theorem we can see that AC=3 and because CPCTC

AC/DE=AB/EB=CB/DB we can see that CB/DB=3/1 and CB is 4 therefore DB = 4/3 do same with BE and we get solution above.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true