Question

I have a Math question, I really need help on this.
The sum of the measures of angle x and angle y is 90. If the measures of angle x is 30 less than twice the measure of angle y, what is the measure of angle x?

( Choices )

20
35
50
65

Answer 1

It cant be 65
65*2 - 30 = 100
100+65 =165
90=165
it cant be 50
50*2-30=70
70+50=130
90=130
it cant be 35
35*2-30=40
40+35=75
75=90
it cant be 20
20-2-30=10
20+10=30
30=90

Answer 2

so i have know idea

Answer 3

How do you write as an expression "the sum of the measures of angle x and angle y"?
Then let the expression equal 90.
That gives one equation.

Now write twice y minus 30, and let that equal x.
That is your second equation.

Now solve the two equations simultaneously, as a system of equations, and find x and y.

Answer 4

So is it 35?

Answer 5

@megan.brennan made a mistake in working out the problem starting with the solutions.
The question is what is x? The choices are possible values of x. The way megan used the choices was by replacing y in the equation x = 2y - 30. That's why none of the answers worked.

Answer 6

One of the choices is definitely correct.
How about following what I wrote, writing a system of equations, and solving the system?

Answer 7

This is my worst subject, I have no idea of what you said...

Answer 8

Thats not rude at all. @mathstudent55

Answer 9

you have a cable plan that costs 39$ a month for a basic plan plus one movie channel. your friend has the same basic plan plus two movie channels for 45.50$. what is the basic plan charge that you both pay?
@mathstudent55 why your at it

Answer 10

So it would be $6?

Answer 11

basic + 1 movie channel = $39
basic + 2 movie channels = $45.50

Let b = the cost of basic cable
Let m = the cost of a movie channel

you have: b + m = 39
your friend has: b + 2m = 45.50

We have a system of equations:

b + m = 39
b + 2m = 45.50

Subtract the first equation from the second equation:

b + 2m = 45.50
- b + m = 39
--------------------
m = 6.50

m = 6.5 means one movie channel costs $6.50

Answer 12

So is the answer 60? ( D)

Answer 13

BTW, with the cable problem, you can think of it simply like this, and not even write an equation.
The plans cost $39 and $45.50.
Your plan is basic & 1 movie channel
Your friend's plan is basic and 2 movie channels.
What is the difference between your plan and your friend's plan?
Just 1 movie channel. He gets an extra movie channel that you don't.
How much does he pay more than you do?
$45.50 - $39 = $6.50
He pay an extra $6.50. Since the only difference between your plan and his is one movie channel, that means the movie channel costs $6.50.

Answer 14

Now we know in two different ways that the movie channels cost $6.50 each.
Now we can continue to answer the original question.
What is the cost of basic cable?
Using the equations:
b + m = 39
b + 6.50 = 39
b = 32.50
Basic cable costs $32.50

Answer 15

I'm just lost now xD

Answer 16

Without using the equation, you can also find the cost of basic cable.
If your cost is $39 for basic and 1 movie channel, and 1 movie channel costs $6.50, then $39 - $6.50 is basic cost.
basic cable cost = $39 - $6.50 = $32.50
Basic cable costs $32.50

Answer 17

Ok. Now we should get back to @TimaFilms99 original question about angles because we are still in Tima's post.

Answer 18

@TimaFilms99
I'm going to help you now with your question in a simpler way without equations.
Try to follow.

Answer 19

Yes please xD

Answer 20

You have two angles and they are called x and y.
You are told that their measures add to 90 degrees.
For example, if angle x were 10 degrees, then angle y would have to be 80 degrees.
If angle x were 30 degrees, then angle y would have to be 60 degrees.
This is because 80 + 10 = 90 and 30 + 60 = 90 in our examples.
Ok so far?

Answer 21

I will try, I have a D in this class.

Answer 22

Yea

Answer 23

You are also given a second statement about the measures of angles x and y.
You are told that angle x is 30 less than twice y.
For example, if angle y were 60, then to find angle x, you need to multiply y by 2 to get 120, then subtract 30 to get 90.
You would have x = 60 and y = 90.

Answer 24

Now we need to use the two statements to find out what the measures of x and y are.

Answer 25

Instead of just guessing numbers at random, we can use the choices.
We can try each choice and see which one works.

Answer 26

Choice A is x = 20.
If x = 20, then y must be 70 since 20 + 70 = 90.
Now we have to see if 20 and 70 work in the second statement.
x = 2 * 70 - 30 = 140 - 30 = 110
Now we get x = 110, but above x had to be 20, so choice A does not work.

Answer 27

Since choice A did not work, we try choice B.

Choice B is x = 35. If x = 35, then y must be 55 since 35 + 55 = 90.
Now we have to see if 35 and 55 work in the second statement.
x = 2 * 55 - 30 = 110 - 30 = 80 Now we get x = 80, but above x had to be 35, so choice B does not work.

Answer 28

Since choice B did not work, we try choice C.

Choice B is x = 50. If x = 50, then y must be 40 since 50 + 40 = 90.
Now we have to see if 50 and 40 work in the second statement.
x = 2 * 40 - 30 = 80 - 30 = 50
Now we get x = 50, and above we also had x = 50, so this is the answer.

The answer is choice C.

Answer 29

At an all-you-can-eat barbecue fundraiser that you are sponsoring, adults pay 6$ for a dinner and children pay 4$ for a dinner. 212 people attend and raise 1128$. What is the total number of adults and the total number of children attending. (using systems of equations.
a. what is a system of equations that you can solve this problem?

b.what method would you use and why?

Answer 30

Sorry I had to go, and I still don't know...