Answer:
x = 18
Step-by-step explanation:
the sum of any exterior angle is equal to the sum of any two interior angles
3x-11 + 5x+14 = 9x-15
8x + 3 = 9x - 15
3 = x - 15
x = 18
Answer:
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Step-by-step explanation:
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Answer:
576 Units
Step-by-step explanation:
The way your teacher wants you to do it:
1. We know that multiplying a length by four gives us the perimeter of a square.
1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16
1b. We know the perimeter is 96. So: 40x+16=96
2. Solving for x, we get x=2
3. Plugging our solved x into the given length (10x+4), we see that the length of a side of the square is 10*2+4=24.
4. We know that the area of a square can be found by squaring the side of a square.
4a. 24*24=576.
5. The area is 576 units.
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Easier Solution:
1. We know that the perimeter is length*4.
2. We set L to length.
2a. 4L=96
2b. L=24
3. We know that the length square is area.
4. 24*24=576.
Answer:
That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.
x = number of hours
y = mx + b = 0.12(x + 3) + 15.21 {It's (x + 3) because we have to add the 3 hours between 9 and noon}
y = mx + b = -0.11x + 15.96 {The slope is negative because the price is decreasing}
Set them equal to each other
0.12(x+3) + 15.21 = -0.11x + 15.96
Now solve for x
0.12x + 0.36 + 15.21 = -0.11x + 15.96
0.12x + 15.57 = -0.11x + 15.96
0.12x + 0.11x = 15.96 - 15.57
0.23x = 0.39
x = 0.38 / 0.23 = 1.7 hours
Convert 0.7 into minutes
0.7 hours * (60 min / 1 hour) = 42 min
So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
-4(x-5)=40
-4x+20=40
-4x=40-20
x=20/-4
x=-5
