Answer:
x = 130
Step-by-step explanation:
Sum of all the angle of quadrilateral = 360°
50 + 45 + 35 + ∠ADC = 360
130 + ∠ADC = 360
∠ADC = 360 - 130
∠ADC = 230
x = Reflex ∠ADC
= 360 - 230
= 130
The total number of ways the study can be selected is: 637065
Given,
Total number of women in a group= 13
Total number of men in a group = 12
Number of women chosen = 8
Number of men chosen = 8
∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.
This in the form of combination factor = nCr
∴ nCr = n!/(n₋r)! r!
13C₈ = 13!/(13 ₋ 8)! 8!
= 13!/5!.8!
= 1287
12C₈ = 12!/(12₋8)! 8!
= 12!/5! 8!
= 495
Now multiply both the combinations of men and women
= 1287 × 495
= 637065
Hence the total number of ways the study group is selected is 637065
Learn more about "Permutations and Combinations" here-
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Answer:
opposite angle of trapezoid is supplementary
<Z+<X=180°
<X=180°-72°
<x=108°
is your answer
1: You are looking to find the mps increase over a second
2: 45 m/s from 0 m/s in 10 secs that is 4.5 m/s per second
3: The acceleration is 4.5m/s