Answer:
Our actual answer is 1/18 greater than our estimate
1/2 < 5/9
Step-by-step explanation:
5/8 is close to 1/2
8/9 is close to 1
1/2 * 1 = 1/2
Our estimate is 1/2
Actual answer
5/8 *8/9
Rewriting
5/9 * 8/8
5/9
How close
5/9 - 1/2
Getting a common denominator
5/9*2/2 - 1/8 *9/9
10/18 - 9/18
1/18
Our actual answer is 1/18 greater than our estimate
We would first have to combine like terms to solve for x
So 15x-2 and 5x+3 becomes 20x+1
This is the whole length of the segment, so 20x+1=5
We'll then solve for x by adding one to each side, this isolates x and the equation becomes 20x=6
We can then divide each side by 20 to get x alone
6/20=.3
So x=.3
Next we'll plug .3 into the equation as x
15(.3)-2=2.5
5(.3)+3=4.5
The midpoint divides the line into two equal pieces, and 2.5 does not equal 4.5 so Q is not the midpoint of the segment.
Answer:
![x=5](https://tex.z-dn.net/?f=x%3D5)
![y=8](https://tex.z-dn.net/?f=y%3D8)
![z=-3](https://tex.z-dn.net/?f=z%3D-3)
Step-by-step explanation:
We have been given a parallelogram. We are asked to solve for the values of x and y.
We know that opposite sides of parallelogram are equal, so we can set equation as:
![3x-3=x+7](https://tex.z-dn.net/?f=3x-3%3Dx%2B7)
![3x-x-3=x-x+7](https://tex.z-dn.net/?f=3x-x-3%3Dx-x%2B7)
![2x-3=7](https://tex.z-dn.net/?f=2x-3%3D7)
![2x-3+3=7+3](https://tex.z-dn.net/?f=2x-3%2B3%3D7%2B3)
![2x=10](https://tex.z-dn.net/?f=2x%3D10)
![\frac{2x}{2}=\frac{10}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B10%7D%7B2%7D)
![x=5](https://tex.z-dn.net/?f=x%3D5)
Similarly, we will solve for y.
![2y-6=y+2](https://tex.z-dn.net/?f=2y-6%3Dy%2B2)
![2y-y-6=y-y+2](https://tex.z-dn.net/?f=2y-y-6%3Dy-y%2B2)
![y-6=2](https://tex.z-dn.net/?f=y-6%3D2)
![y-6+6=2+6](https://tex.z-dn.net/?f=y-6%2B6%3D2%2B6)
![y=8](https://tex.z-dn.net/?f=y%3D8)
To solve for z, we will subtract y from x as:
![z=x-y\\z=5-8\\z=-3](https://tex.z-dn.net/?f=z%3Dx-y%5C%5Cz%3D5-8%5C%5Cz%3D-3)
Therefore, the value of z is negative 3.
17x
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