Answer:
1. a. Q° = 95°
b. a = 20.3; b = 19.3
2. p = 36; q = 14.4
Step-by-step explanation:
Question 1:
Recall: The Exterior Angle Theorem of a Triangle states that the size of the exterior angle of a triangle equals the sum of the two sizes of the two opposite angles of the triangle.
a. Based on the theorem,
Q° = 41° + 54° = 95°
b.
✔️122° = 4a + 2a (exterior angle theorem)
122 = 6a
Divide both sides by 6
122/6 = a
a = 20.3
✔️122° + 3b = 180° (angles on a straight line)
3b = 180 - 122
3b = 58
b = 58/3
b = 19.3
Question 2:
Recall: Opposite angles of a parallelogram are equal while adjacent/consecutive angles are supplementary.
✔️2p + 3p = 180° (adjacent angles)
5p = 180
p = 180/5
p = 36
✔️2p = 5q (opposite angles)
Plug in the value of p
2(36) = 5q
72 = 5q
72/5 = q
q = 14.4
Answer:
A. 450 feet
Step-by-step explanation:
If the rock climber starts at 630 feet above sea level, decending down 180 feet lower than his starting point (630) would put him at 450 feet above sea level. Hope this helps
Maria ran farther. Tyler did more. hopefully this helps
The answer is g. U need to find the domain to be able to solve all your other steps.
Answer:
Hello! Your answer would be, 1. B)
2. A) Number line
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia