Answer:
see explanation
Step-by-step explanation:
In a rectangle
• All angles are right angles
• the diagonals are congruent
In Δ WXV the sum of the 3 angles = 180°
∠ WXZ = ∠ XWY =
=
= 58°
∠ YXZ = 90° - 58° = 32°
∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )
∠ XWZ = 90° ( by definition of rectangle )
∠ XZY = ∠ WXZ = 58° ( corresponding angles )
Nothing crazy here, just a matter of figuring out the limits of integration.



Let X represent the length of the chord.
By using Pythagoras' Theorem:
4^2 + (X/2)^2 = 15^2
(X^2)/4 = 209
X^2 = 836
X = 28.91
Answer:
24 miles per hour
Step-by-step explanation:
A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?
Step one:
given data
distance= 6 miles
time= 15 minutes
convert minutes to hours
15 minutes is 0.25hours
Step two:
speed= distance/time
speed= 6/0.25
speed= 24 miles per hour