Question

Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 73.5 degrees. Find the measure of the angles. Measure of the smaller angle is ?? and the measure of the other angle is??

Answer 1

that is exactly how the question is worded. I double-checked.

Answer 2

Thanks anyway...I'll skip this one and try it later.

Answer 3

x+(1/4)y=73.5
x+y=90
now solve

Answer 4

If this involves multiplying a fraction, I am lost already. Fractions are my enemy.

Answer 5

Oh, yeah, that makes sense

Answer 6

LOL...to YOU maybe

Answer 7

Well, its just two sentences that use the same variable. The first sentence says that the two angles are complementary, meaning they add to 90 degrees. You use x and y to represent both angles and their sum adding to 90 degrees.

The second sentence says take a fourth of whatever the the second angle is, then add it to the first angle, and you will get 73.5 degrees.

Answer 8

Yea, but there are many different numbers you could use to make x + y = 90. How do you know which ones to use?

Answer 9

73.5/4 would be 18.375 as you said earlier.

Answer 10

No, you can't solve it like that. Forget what I did.

Answer 11

okay

Answer 12

This is what is called a systems of equations problem. You have to solve both equations for y, then set the equations equal to each other, then solve for x:

y = 90 - x
y = 4(73.5 - x)

90 - x = 4(73.5 - x)

90 - x = 294 - 4x

3x = 204

x = 68
y = 22

Answer 13

I am trying to understand what you did...

Answer 14

But I see how 68 and 22 = 90

Answer 15

I need to study what you did a little longer. So I am assuming the smaller angle is 22 degrees and the larger is 68 degrees?

Answer 16

1. The original equations were:

x + y = 90 (because the angles are complementary)
x + y/4 = 73.5 (because the second angle is only 1/4 of y and adds with x to get 73.5)

2. Solve both equations for y:

y = 90 - x
y = 4(73.5 - x)

3. Set y = y ( when you do the this, the first equation is set equal to the second and also the variable y is eliminated):

90 - x = 4(73.5 - x)

4. From here you just solve for x:

Answer 17

Had to fix something...

Answer 18

I think I am getting it slowly but surely. Thanks very much.

Answer 19

I can post a classroom to explain it if you want...

Answer 20

If I had the time I certainly would. I only have 3 hours to get this turned in and I only have 6 questions answered...

Answer 21

I can also help you with the other questions

Answer 22

okay, well that sounds good. Lord knows I can use the help. LOL...where do I go?

Answer 23

What is your email address? I can send you a link to the classroom. Once I have your email you can delete it.

Answer 24

This is so that pranksters don't try to join the class as well.

Answer 25

Okay, you can delete it now.

Answer 26

Did you send the link? It's not there yet.

Answer 27

Sorry, it takes a minute to set up the classroom. I hope you have a microphone or headphones

Answer 28

I don't know if I do or not. I don't have headphones and have never used the mic

Answer 29

Hmmm, well, we won't be able to do this then. You don't have speakers either?

Answer 30

Yes, I have speakers

Answer 31

Okay, well, you'll have to use those then. Maybe you can also get your mic to work

Answer 32

I may have to do this later anyway...my son is hungry and wants me to fix him something to eat.

Answer 33

I will try to get back soon. I have to get this turned in tonight!!

Answer 34

I will post the link either way when I'm done setting it up

Answer 35

Check your email

Answer 36

ok, thanks

Answer 37

Okay, you'll have to post your email again, sorry. I had to completely re-set up my account and I didn't save your email sorry.

Answer 38

I have the link now.

Answer 39

http://authorlive.com/aliveext/LoginToSession.aspx?SessionCode=9Mo6plz5Wbjn0oFVT4wjyw%3d%3d