Question

Geometry help pls!

Answer 1

#1

Answer 2

@dude

Answer 3

1. Angle FAP lol

Answer 4

Okay anyway, they said that FAP is a bisector to the angle EAF

Bisector means it is splitting it in 2
If half the angle is 24, what should the total be?

Answer 5

I spent 15 min doing this and still cant figure it out...

Answer 6

48 degrees

Answer 7

Lets say this angle is 100º

If it is spilt into 2, what are the angle measures? (In color)

Answer 8

Right

Answer 9

So \(2\angle FAP = \angle EAF\)

AKA

\(48=6x+5y\)

Answer 10

So i did a system.
And the end results i got is 6x+5y=24 and -6x+6y=18

Answer 11

We can't solve for this yet (2 variables)

Lets look at ECP is equal to 24, since they are bisectors

\(5x+9=24\)

Solve for x, once you get there you can do the first problem we just wrote

Answer 12

5x=15

Answer 13

Yes, now get x by itself

Answer 14

3

Answer 15

So i got y as 6

Answer 16

Right
If you want to check this
EAF should equal 48
\(6x+5y=48\)
\(6(3)+5(6)=48\)
\(18+30=48\)
\(48=48 \checkmark \)

Answer 17

PCD should be 24 (since its half of the whole angle)

\(2x+3y=24\)
\(2(3)+3(6)=24\)
\(6+18\)
\(24=24\checkmark \)

Answer 18

Ok so i got all the measure anlge
A=48
B=84
C=48

Answer 19

ECP should also be 24 (since its half of the angle)

\(5x+9=24\)
\(5(3)+9=24\)
\(15+9=24\)
\(24=24\checkmark \)

Answer 20

Ok i got all the angle.
For part b (sorry) using the same diagram, if line segments AD=BC=30 and AC=48, find the length of BE

Answer 21

The lines marked are equal
Do you know pythagoreans theorem?

Answer 22

yes

Answer 23

uh. dude? i see blank

Answer 24

Oh frick why does lightshot not work for others

Answer 25

@Vocaloid

Answer 26

you are given that the triangle is isosceles which means the bisector BE cuts AC in half and creates two 90 degree angles

so if you just look at the left half of the triangle you can see it's a right triangle so you can just use pythagorean theorem to find the missing side

Answer 27

so BE^2 + 24^2 = 30^2 solve for BE

Answer 28

ok so i got 18

Answer 29

yeah that's what i got too

Answer 30

ok