Complementary angles ⇒ the angles add up to 90°
∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°
∠A + ∠B = 90°
Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10) = 90
Open the brackets:
3x - 8 + 5x + 10 = 90
Combine like terms:
8x + 2 = 90
Subtract 2 from both sides:
8x = 88
Divide both sides by 8:
x = 11
Answer: x = 11
They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.
Answer:
Intersect
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees
Answer:
y-1=x^2
Step-by-step explanation:
That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.
Answer:
Step-by-step explanation:
The equation of a circle is given by:
Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:
Simplify. Thus, our equation is:
