Answer:

Step-by-step explanation:
Given

Required
Solve for x

Add 7 to both sides



Multiply through by 6



Answer: Below the solid line
Step-by-step explanation:
-4y - x ≥ 7
add x to both sides
-4y ≥ x + 7
divide by -4 on both sides
y ≤ -1/4x - 7/4 = (1.75)
Take the origin (0,0) and substitute it for the variables
y(0) ≤ -1/4(0) - 7/4
0 ≤ -7/4 = (1.75)
This statement is false, so you would shade on a graph, below the solid line, since this is where the origin would not be.
The line would be solid because the < is underlined.
Answer:
Step-by-step explanation:
The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.
I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.
Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.
so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.
y = 180 - 100 - 28 = 52
Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.
If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I have made.
1st element can be matched with 5
2nd element can be matched with 4
3rd element can be matched with 3
etc.
Total number of correspondences = 5*4*3*2*1 = 120