I'm not very good with history but i think the first one is D and second is A , but I'm not sure sorry
Answer: x = 11, y = 9
Step-by-step explanation:
To solve for x, set the sides equal to each other:
7x + 27 = 10x - 6
Add 6 to both sides:
7x + 33 = 10x
Subtract 7x from both sides:
33 = 3x
Divide both sides by 3:
11 = x
(Which is the same as x = 11)
Now, to solve for y, since they don’t give you the other side, you know that the straight line is 180° so:
7x + 27 + 9y - 5 = 180
Plug in your x:
7(11) + 27 + 9y - 5 = 180
77 + 27 + 9y - 5 = 180
Add like terms:
99 + 9y = 180
Subtract 99 from both sides:
9y = 81
Divide both sides by 9:
y = 9
Hope this helps!
So, this is kind of a hard concept to explain without any pictures, but I'll try anyways.
Think of a plane as like a sheet of paper, and a line as a metal rod.
If I want to intersect the plane, it means that my line (rod) has to touch the plane (paper).
If I poke the rod through the paper, it only intersects it in one place, and I cannot fold or warp the paper to change that.
The only other way I can make these two touch is if I lay the rod on top of the paper. However, when I do this the paper is touching every single point along the rod...
I hope this kinda helps explain why you can never intersect in exactly two points.
The proportion used is:
x/120 = 9/100
Cross multiply:
100x = 1080
Divide:
x = 10.8
Add:
120 + 10.8 = $130.80
Hope this helps!! :)