Answer:
99
Step-by-step explanation:
We can split this up by doing the tens and then the ones. 12 = 10 + 2, so we have 87 + 12 = 87 + 10 + 2 = 97 + 2 = 99.
<u>136 + x + x = 180. Or, to simplify, 136 + 2x = 180. The congruent angles measure 23 degrees each.</u>
We know this because of a simple rule that goes for all triangles: The measures of all three angles in a triangle will <em>always</em> add up to 180 degrees.
One angle of a triangle measures 136 degrees. The other two angles are congruent (have the same measure).
(x stands for an unknown angle measure.) So the equation we would use is 136 + 2x = 180. We can solve this within a few steps.
1. We subtract 136 from 2x in order to isolate 2x. But if we subtract something from the left side of the equation, we have to subtract it from the right side too. Otherwise the equation will be wrong; We would be taking away the balance.
2x = 180 - 136
2. Now that 2x is isolated, we solve 180 - 136.
2x = 46
3. If we know now that 2x is equal to 46, how do we find out what x is equal to? We divide by 2 (on both sides or it'll be wrong) to get x.
2x = 46
2x/2 = 46/2
x = 23
Now we know! x = 23... The other two angles are both 23 degrees. We can check to see if that's right by solving 23 + 23 + 136... Does it add up to 180? Yes! :)
For this case we have the following variables:
P = area covered by a roll of wallpaper
w = the total area of the walls
n = number of rolls to buy
We write the equation for n.
You must take into account that you can determine this amount by dividing the total area between the area covered by each roll of paper.
We have then:
Answer:
a formula that will help them determine how much wall paper they'll need to purchase is:
13=1/6y+2x
-1/6y -1/6y
-1/6y+13=2x
-13 -13
-1/6y=2x-13
*-6 *-6
y=-12x-13
*I multiply it by -6 because -6 is the reciprocal of -1/6, and I can't divide -1/6, actually I can, but it just going to be more confusing that way, and the fastest way to get rid of the -1/6 when you solving this type of equation is multiply it by its reciprocal.
