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jekas [21]
3 years ago
9

Fine the x- and y-intercept of the line x+4y=36

Mathematics
2 answers:
larisa86 [58]3 years ago
8 0
X + 4y = 36

To find the x intercept, plug in 0 for y and solve for x.
x + 4(0) = 36
x = 36
The x intercept is (36, 0).

To find the y intercept, plug in 0 for x and solve for y.
0 + 4y = 36
Divide both sides by 4.
y = 9
The y intercept is (0, 9).
GalinKa [24]3 years ago
4 0
The x-intercept is found when y = 0.

Plug in 0 for y:

x + 4(0) = 36
x = 36

The x-intercept is (36,0).

The y-intercept is found when x = 0.

Plug in 0 for x:

0 + 4y = 36
4y = 36

Divide both sides by 4 to get y by itself:

y = 9

The y-intercept is (0,9).
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So for a hint to help you...when you are looking at a triangle on a 180 degree line, each angle adds up to 180 degrees. So for example, on #9 on the top of the triangle, one of the angles is 49 degrees so you want to subtract that from 180 ( 180 - 49 = X ) ( X = angle 1 and 2 ) so angle 1 and 2 added together equals X. In this case, ( X = 131 degrees ) Every triangle equals 180 degrees too. So since this angle has 3 different angles on the line, you can do the rest of the problems and come back to these because you can subtract angle 4 and 73 to get angle 2.

(still on #9) Angle 3, as you can see only has one other number beside it (73) so it makes this one very easy. ( 180 - 73 = X ) ( X = 107 )  <u>Angle 3 = 107 degrees</u>

<u></u>

Angle 5. Subtract the 49 above angle 5 from 180 and the result will be angle 5. ( 180 - 49 = X ) ( X = Angle 5 ) <u>X/angle 5 = 131.</u>

Now you can get angle 4, which gives you angle 2 and 1. ( 180 - 131 = Angle 4 ) <u>(Angle 4 = 49)</u>

Angle 2. In the triangle, we have 73 degrees, and 49 degrees. So the equation for this one is, ( 180 - 73 - 49 = Angle 2 ) ( Angle 2 = 58 )

Angle 1. On this line, we have 49 degrees and 2=58 degrees. ( 180 - 58 - 49 = Angle 1 ) <u>( Angle 1 = 73 )</u>

<u></u>

Lastly, Angle 3. The side of this triangle will also equal 180, just like the top line. Angle 1 = 73 degrees so as you now know, subtract that from 180 and get angle 3. ( 180 - 73 = Angle 3 ) <u>(Angle 3 = 107 )</u>

<u></u>

1: 73  degrees

2: 58 degrees

3: 107 degrees

4: 49 degrees

5: 131 degrees

I know this is a lot to read, but I really hope I explained it to where you can understand it now.

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3 years ago
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3 0
3 years ago
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