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:
The domain is the possible values of x that can be plugged into the function safely.
Step-by-step
Let D = domain of f
D = ALL REAL NUMBERS
If it's three or more, the probability is 100%.
However, I will assume that you intend to draw only two balls and that you don't replace the first ball in the bag for the second draw.
So you draw one ball. The probability that it's red is 8/14 = 4/7.
You draw again. The probability of getting a second red is 7 (red balls remains) / 13 (balls remaining).
Assuming that the results of the first and second draws are independent,the probability of drawing two red balls is therefore (4/7)*(7/13) = 4/13.
Now, suppose instead of a red on the first draw you got white. The probability of this is 6/14 = 3/7.
Given the first ball is white, the probability of drawing a second white is 5/13.
So the probability of drawing two whites is (3/7)*(5/13) = 15/91.
The outcomes of drawing two reds or two whites are independent of each other, so you can add the probabilities to get the probability of drawing two balls of the same colour, i.e.
4/13 + 15/91 = 43/91
If you prefer to express it as a percentage, it's approximately 47.25%.
Answer:
Frist goes to the 1st box second line and 4th dot.
Second dont know
Step-by-step explanation:
