Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. ![2y = 3x-7](https://tex.z-dn.net/?f=2y%20%3D%203x-7)
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. ![y-4 = x+6](https://tex.z-dn.net/?f=y-4%20%3D%20x%2B6)
Solving above expression we get;
![y-4 = x+6\\y = x+6+4\\y=x+10](https://tex.z-dn.net/?f=y-4%20%3D%20x%2B6%5C%5Cy%20%3D%20x%2B6%2B4%5C%5Cy%3Dx%2B10)
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. ![y+3 = x+3](https://tex.z-dn.net/?f=y%2B3%20%3D%20x%2B3)
Solving above expression we get;
![y+3 = x+3\\y = x+3-3\\y=x](https://tex.z-dn.net/?f=y%2B3%20%3D%20x%2B3%5C%5Cy%20%3D%20x%2B3-3%5C%5Cy%3Dx)
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. ![4y+1 = 4x-1](https://tex.z-dn.net/?f=4y%2B1%20%3D%204x-1)
Solving above expression we get;
![4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2](https://tex.z-dn.net/?f=4y%2B1%20%3D%204x-1%5C%5C4y%20%3D%204x-1-1%5C%5C4y%3D4x-2)
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. ![y+3 = x+3](https://tex.z-dn.net/?f=y%2B3%20%3D%20x%2B3)
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4
Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64
Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well
Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.
The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)
-----------------------------------------------------------
Answer:
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees
If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.
Answer:
Food cost determines a restaurant's profitability.
Step-by-step explanation:
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Answer:
#5: d=22, #6:
, #7: ![2\frac3{11}=z](https://tex.z-dn.net/?f=2%5Cfrac3%7B11%7D%3Dz)
Step-by-step explanation:
#5:
![2\cdot (4\cdot5-3^2)=2\cdot (4\cdot5-3\cdot3)=2\cdot (20-9)=2\cdot11=22](https://tex.z-dn.net/?f=2%5Ccdot%20%284%5Ccdot5-3%5E2%29%3D2%5Ccdot%20%284%5Ccdot5-3%5Ccdot3%29%3D2%5Ccdot%20%2820-9%29%3D2%5Ccdot11%3D22)
#6:
![5\frac25-1\frac3{10}=5\frac4{10}-1\frac3{10}=4\frac1{10}](https://tex.z-dn.net/?f=5%5Cfrac25-1%5Cfrac3%7B10%7D%3D5%5Cfrac4%7B10%7D-1%5Cfrac3%7B10%7D%3D4%5Cfrac1%7B10%7D)
#7:
![\frac{40-15}{5+6}=\frac{25}{11}=2\frac3{11}](https://tex.z-dn.net/?f=%5Cfrac%7B40-15%7D%7B5%2B6%7D%3D%5Cfrac%7B25%7D%7B11%7D%3D2%5Cfrac3%7B11%7D)