Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given system of equations is expressed as
6x - 5y = -34 - - - - - - - - - - - -1
2x + 6y = 4 - - - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 6. It becomes
12x - 10y = - 68 - - - - - - - - - - - -3
12x + 36y = 24 - - - - - - - - - - - -4
Subtracting equation 4 from equation 3, it becomes
- 46y = - 92
Dividing the left hand side and the right hand side of the equation by
- 46, it becomes
- 46y/46 = - 92/- 46
y = 2
Substituting y = 2 into equation 2, it becomes
2x + 6 × 2 = 4
2x + 12 = 4
Subtracting 12 from left hand side and the right hand side of the equation, it becomes
2x + 12 - 12 = 4 - 12
2x = - 8
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = - 8/2
x = - 4
I would need see what your choices are to give exact answers, but I think the main idea here is to see that angles 1 and 3 are the same, and since the alternate interior angle theorem states parallel lines through a line, or another set of parallel lines, form equal angles on those positions, the lines that form those angles, p and q, must be parallel.
The answer for the last on is 19
I believe the answer is "scale factor." you usually find it by comparing the corresponding sides from two figures and creating a ratio of them; for example, imagine two squares. square A has sides that have the length of 8 inches. square B has sides that have a length of 4 inches. all sides are the same length with squares.
square A, length of left side = 8 in
square B, length of left side = 4 in
the ratio for this could be 8/4 (simplified to whole number 2) -- you would pick two corresponding sides (the left sides of each square) and think "when the left side on square A is 8 in, the left side on square B is 4 in. if i multiply 4 in by 2, i get the larger square, so square B is smaller by a factor of 2."