The angles of a triangle should add up to 180 degrees. in the left triangle, you should find the 3rd angle
75 + 50 + y = 180
125 + y = 180
y = 55
vertical angles are congruent, so the left angle on the right triangle will also be 55 degrees.
then you do the same thing to find x.
85 + 55 + x = 180
140 + x = 180
x = 40
Answer: the system of equations that represents this situation are
12x + 6y = 180
x = 2y
Step-by-step explanation:
Let x represent the number of hardcover books that were sold in a day.
Let y represent the number of paperback books that were sold in a day.
The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that
12x + 6y = 180
The number of hardcover books sold that day was twice the number of paperback books. It means that
x = 2y
-4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
8y = 4x + 2
8 8
y = ¹/₂x + ¹/₄