Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = 
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
Answer:
<em>Probability ≈ 0.0714</em>
Step-by-step explanation:
Consider permutation and combination;
I think the answer is A.
So, when you are first given a set of data, order the numbers from least to greatest:
3, 4, 4, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 9, 10, 10
Now we have to find the median...
3, 4, 4, 5, 5, 5, 6, (6, 6) 8, 8, 8, 8, 9, 10, 10
There is an even amount, so we have to add the 2 numbers in the middle and then divide by 2 to get the median. 6 + 6 = 12 /2 = 6
6 is the median. Now we have to find our minimum, maximum, and quartiles.
(3, 4, 4, (5, 5), 5, 6, 6) (6, 8, 8, (8, 8), 9, 10, 10)
Min= 3 , 1st quartile = 5, 2nd Quartile ( Median ) = 6 , 3rd Quartile = 8, Maximum = 10.
So you would plot the dots and connect the lines and make the box!
Hope this helps!
Answer:
0
Step-by-step explanation:
You can't construct any triangles with those angles. Because when you add all the angles of a triangle, it has to add up to 180. But when we add 50,70, and 100, it equals 220. So you can't construct any triangles.
Hope this helps.<em> (If it does, please mark me brainliest)</em>
