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
The correct answer is choice D. To find this you will find the probability of each event happening and then multiply them together.
Green: 5/30
Yellow: 8/29 (you subtract one from the denominator because you already picked a green the first time)
5/30 x 8/29 = 40/870
Answer:
Not sure if this is correct but maybe it is 34?
Answer:
(1 +5t )(1 + 5t)
Step-by-step explanation:
1 +10t +25t^2
1 + 5t + 5t + 25t^2
(1 +5t) + 5t(1 +5t)
(1 +5t )(1 + 5t)
Answer: 5 and 9
Would appreciate brainly <3
