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:
m= 1.1
Step-by-step explanation:
Given the question as 7:( 4/11 m)=56:3.2 this can be written as;
7: 4/11 m = 56 /3.2
7/4/11m = 560/32 ------------------perform cross multiplication
77*32=560*4/11m
224=2240/11 m
224=203.636 m--------------divide both sides by 203.636 to get m
224/203.636 = 203.636m/203.636
1.1 =m
Testing the value of m in the question
7: (4/11 *1.1) = 56:3.2
7:0.4 = 56 :3.2
70/4 = 560/32
17.5 =17.5
The range of frequency is from 0.05 to 0.35 and a couple f the numbers aren't close to the other numbers 0.05 is not close to 0.21 or 0.35
so the outcomes do not appear to be equally likely, because of that a uniform probability model wouldn't be a good model.
The answer is A
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Answer:
28
Step-by-step explanation:
5(6) + (-2) = 30 + (-2) = 30-2 = 28
