Answer:
Step-by-step explanation:
Two angles are alternate if they lie on the opposite sides of a transversal. The transversal is a line that cuts through two parallel horizontal lines. If the alternate angles are inside the two parallel lines, they are alternate interior angles. If the alternate angles are outside the two parallel lines, they are alternate exterior angles.
From the information given, angles 4 and 6 are called alternate interior angles. Therefore, the options that apply are:
1) They're on opposite sides of the transversal.
2) They're inside the two lines crossed by the transversal.
Interior
Answer:
4 is the answer
Step-by-step explanation:
8 + x + 2 = 4x -2
8 + 2+ 2 = 4x - x
12 = 3x
x =12/3 = 4
Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
