Soccer game theory posits that the earliest participants in the game will play.
Answer:
P is located at (-5, -1) and Q is at (2, -5).
Step-by-step explanation:
Answer:
Step-by-step explanation:
The triangle provided is a right triangle. The length of the opposite side is 244 yards, and the adjacent side measures 119 yards. To find the hypotenuse, we would utilize the Pythagorean theorem. The formula can be written as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Thus, Hypotenuse^2 = 244^2 + 119^2
Hypotenuse^2 = 59536 + 14161
Leading to Hypotenuse = √73697 = 271.5 yards.
cos θ = adjacent side/hypotenuse
cos θ = 119/271.5 = 0.4383
Calculating θ gives us θ = Cos^-1(0.4383) = 64 degrees
The remaining angle is
90 - 64 = 26 degrees
Since m∠abe = 2b, and angle abe consists of angles abf and ebf, we can write:
m∠abe = m∠abf + m∠ebf
To find m∠ebf, rearrange:
m∠ebf = m∠abe - m∠abf
Substitute the given expressions:
m∠ebf = 2b - (7b - 24)
Simplify:
m∠ebf = 2b - 7b + 24
m∠ebf = -5b + 24.
