Question

Find the value of x.


http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/a/assessments/Semester1Exam/Geometry_SemesterA_Final_151q.gif

Answer 1

How many degrees does a triangle have?

Answer 2

30-90-60

Answer 3

@GoldPhenoix

Answer 4

That means a triangle have 180 degrees in total.
Now angle B has a degree of ( 11x - 9 )
Angle A has a degree of (4x + 7)
Angle C has a degree of 32.

So what equation can you use to find x?

Answer 5

um... im not sure. the pathagorem theorem?

Answer 6

Nope. We cannot use the pythagoream theorm because first of all, we have angles degree, not the length.

Here's a great hint.
a + b + c = 180.

So what does our equation looks like?

Answer 7

11x-9+4x+7=180

Answer 8

Not quite.
Your saying that b + c = 180.

What are you missing?

Answer 9

11x-9+4x+7+30=180?

Answer 10

Angle A doesn't say 30. It say something else.

Answer 11

oohhh its 60 right?

Answer 12

Lol. Its 32.
Angle A = 32.
It said it.

Answer 13

So the equation should look like: \[\large \large (37) + (4x+7) + (11x-9) = 180\] What can we simplify on the left side?

Answer 14

oh :( see i really sick at these problems

Answer 15

So which terms can we combine?

Answer 16

wait 37? i thought you said 32???

Answer 17

Oh. My bad. >_> \[\large \large (32) + (4x+7) + (11x-9) = 180\]

Answer 18

Now which terms can we combine?