The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15
Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°
Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108
Answer:
m∠A = 72°
m∠B = 108°
Answer:
(x-4)^2 + (y+5)^2 = 324
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-4)^2 + (y+5)^2 = 18^2
<u>(x-4)^2 + (y+5)^2 = 324</u>
Answer: A
Step-by-step explanation:
Each gallon costs 3 dollars.
8(gallons) times $3(for each gallon) = 24(dollars).
Step-by-step explanation:
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90, x = 29.
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76, x = 38.
Answer:
y = 0.7x + 12
Step-by-step explanation:
