Question

If m 10 years ago

Answer 1

How did you arrive to that answer?

Answer 2

Remember that if EB is perpendicular to BC, then angle EBC is 90 degrees.

Answer 3

subtract 3y

Answer 4

From what?

Answer 5

7y

Answer 6

Hm. It says that angle EBF is 7y-3 and angle FBC is 3y +3.

Answer 7

\[7y-3=3y+3\]

Answer 8

These two angles make up angle EBC

Answer 9

It isn't given that the two angles are congruent. If the value of the two angles were congruent, then this would work. But that info isnt given

Answer 10

i know there's another way to put them but i forgot my notes

Answer 11

Its fine. You see that EBF AND FBC equal EBC, right?

Answer 12

yes

Answer 13

Alright. And since the question tells us that assuming EBC is perpendicular, what is the value of y. So EBC=90.
\[(7y-3)+(3y+3)=90\]

Answer 14

yeah that's the one

Answer 15

Alright. So now use algebra to solve for y and see what you get.

Answer 16

y=9?

Answer 17

Yep.

Answer 18

thanks

Answer 19

np