Answer:
x = 54
y = 47.5
Step-by-step explanation:
If two lines p and q are parallel and line r is a transversal intersecting these lines at two different points,
(x + 56)° = (2x + 2)° [corresponding angles]
2x - x = 56 - 2
x = 54
Similarly, lines r and s are parallel lines and q is a transversal line intersecting these lines,
(y + 7)° + (3y - 17)°= 180° [Consecutive exterior angles]
4y - 10 = 180
4y = 190
y = 47.5
1. 4(x + 3) = 4x + 12
2. -7(4 - y) = -28 + 7y
3. 6(3x + 5y - 4) = 18x + 30y - 24
4. (9a - 3) / 3 = 3a - 1
5. (0.4(0.3m + 0.6n) / 1.2) = (0.12m + 0.24n) / 1.2 = 0.1m + 0.2n
6. -9 2/3(-2 1/4a + b + 8 1/4) = 21 3/4a - 9 2/3b - 79 3/4)
7. 64x + 24.....GCF = 8.......8(8x + 3)
8. -5y - 35......GCF = -5.....-5(y + 7)
9. 36 - 8z.......GCF = 4.......4(9 - 2z)
10. 54n - 81...GCF = 27......27(2n - 3)
11. -2x + 5......-2(x - 5/2)
12. 3x - 8 .......3(x - 8/3)
13. -1/2x + 6....-1/2(x - 12)
14. -x - 10.......-x(1 + 10)
Answer:

Step-by-step explanation:
Fill in the given expressions and simplify.

Going the other way, we have ...


<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
where
(h, k) is the vertex. In the given equation,
, the h-value is 1/2 and the k-value is -2.
So, the vertex (h, k) = (1/2, -2)
20. Because the tickets must have different points of origin, only 1 ticket can be sold per stop.