Answer:
x = 8
y = 21
Step-by-step explanation:
(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:
(7x + 12)° = (12x - 28)°
Solve for x
7x + 12 = 12x - 28
Collect like terms
7x - 12x = - 12 - 28
-5x = -40
Divide both sides by -5
-5x/-5 = -40/-5
x = 8
(12x - 28)° + (9y - 77)° = 180° (linear pair)
To find y, plug in the value for x = 8.
12(8) - 28 + 9y - 77 = 180
96 - 28 + 9y - 77 = 180
Combine like terms
- 9 + 9y = 180
Add 9 to both sides
-9 + 9y + 9 = 180 + 9
9y = 189
Divide both sides by 9
9y/9 = 189/9
y = 21
Y= 19.25x / which is the 3rd one
Answer:
Illinois is 4 times larger than Hawaii
Answer:
Y = Your age S = Sister's age
Y = 2S - 3
Step-by-step explanation:
Let’s pick a paperback and a hardback
There are 4 x 6 possible choices
Now pick any three of the remaining 8 books
8C3 = 56
This means there are 4 x 6 x 56 = 1344 selections of 5 books that will contain at least one paperback and one hardback
8C3 means picking 3 from 8 without worrying about order
8C3 = 8 x 7 x 6 / (3 x 2 x 1) = 56