Answer:
4 and 4 inches left
Step-by-step explanation:
Answer:
D. a line graph
Step-by-step explanation:
<u>ANSWER</u>
A. (4,12)
<u>EXPLANATION</u>
The equations are:
![10x +2y = 64...(1)](https://tex.z-dn.net/?f=10x%20%2B2y%20%3D%2064...%281%29)
and
![3x - 4y = -36...(2)](https://tex.z-dn.net/?f=3x%20-%204y%20%3D%20-36...%282%29)
To eliminate a variable we make the coefficients of that variable the same in both equations.
It is easier to eliminate x.
We multiply the first equation by 2 to get:
![20x + 4y = 128...(3)](https://tex.z-dn.net/?f=20x%20%2B%204y%20%3D%20128...%283%29)
We add equations (2) and (3).
![3x + 20x + 4y - 4y = - 36 + 128](https://tex.z-dn.net/?f=3x%20%2B%2020x%20%2B%204y%20-%204y%20%3D%20%20-%2036%20%2B%20128)
![23x = 92](https://tex.z-dn.net/?f=23x%20%3D%2092)
Divide both sides by 23
![\frac{23x}{23} = \frac{92}{23}](https://tex.z-dn.net/?f=%20%5Cfrac%7B23x%7D%7B23%7D%20%20%3D%20%20%5Cfrac%7B92%7D%7B23%7D%20)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Put x=4 into equation (1).
![10(4)+2y = 64](https://tex.z-dn.net/?f=10%284%29%2B2y%20%3D%2064)
![40+2y = 64](https://tex.z-dn.net/?f=40%2B2y%20%3D%2064)
![2y = 64 - 40](https://tex.z-dn.net/?f=2y%20%3D%2064%20-%2040)
![2y = 24](https://tex.z-dn.net/?f=2y%20%3D%2024)
![\frac{2y}{2} = \frac{24}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2y%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B24%7D%7B2%7D%20)
![y = 12](https://tex.z-dn.net/?f=y%20%3D%2012)
The solution is (4,12)
Answer:
∠y=60°
Step-by-step explanation:
Question says to find the measure of the angle Y.
We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.
∠x = ∠y = ∠z...(i)
We know that sum of all three angles of the triangle is always 180°.
So we can write:
∠x+∠y+∠z=180°
∠y+∠y+∠y=180° {using equation (i) }
3∠y=180°
divide both side by 3
∠y=60°
Hence final answer is the measure of angle y is 60 degree.