The formula we need is this one:
. Filling in accordingly, we have x+4(x+4+1)=x+1(x+1+11). Simplifying that we get (x+4)(x+5)=(x+1)(x+12). We will FOIL both sides to get
. Combining like terms gives us this simplification: 0=4x-8. If we factor out the common 4, we have 0 = 4(x-2). By the Zero Product Property, eitheer 4=0 or x-2=0. Well obviously, 4 does not equal zero, so x-2 = 0, and x = 2.
45+ 70x=150
the answer is 1.5 so an hour and a half
0. The two lines are parallel because they have the same slope. You can find this by using the slope formula.
Answer: 90 degrees
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Explanation:
Let x and y be the two angles. Because they are supplementary angles, this means x+y = 180. Also since we're told that the angle is its own supplement, we can say that y = x.
Consequently, we can replace y with x and solve for x like so:
x+y = 180
x+x = 180 .... y is replaced with x since y = x
2x = 180
2x/2 = 180/2
x = 90
This means y = 90 as well. As a check, note how
x+y = 90+90 = 180
which verifies our answer.
