Hi there!
∠C = 40° and triangle ABC is isosceles, therefore:
∠C = ∠A = 40°
Angles in a triangle sum up to 180°, so:
180 = 40 + 40 + ∠A
180 = 80 + ∠A
100 = ∠A
Thus, arc CB has a measure of 100°.
Answer: 31.18
Step-by-step explanation:
The problem is focused on mainly the right triangle made up of points M, Q, and R. This problem can be solved with the base formula, <em>b</em> = <em>a</em> · tan(β) where <em>a</em> = the length of line MR, β = m∠MQR, and <em>b</em> is the unknown length of RQ.
Given:
RQ = 18 · tan(60°)
Point M is the midpoint of line PM and line MR. Since MP is equal to 18, MR has to be 18 as well. This means that the value of <em>a</em> is 18.
The vertex of ∠MQR is Q, which is 60°.
Step 1: Find the tangent of 60°
The tangent of 60° is √3
Step 2: Solve
RQ = 18 · √3
18 · √3 = 31.18
RQ is equal to 31.18
Hector can bike 0.6 miles in 12 hours
73.6 because if the number is 5 or more add one more.
The "mean" is just the regular arithmetic average:
sum of all terms / number of terms...
In this case:
(32+33+34+34+36+38+38+38+40+42)/10
36.5
