Answer:
Step-by-step explanation:
Angle 4 = angle 1 and angle 3 =angle 2 Corresponding angles for two parallel lines BD and AE
Triangle AED ||| BDE Angle angle congruent
... By compendo and dividendo
Thus proved
Since two lines are parallel we have corresponding angles equal and also
sides will be proportional in similar triangles
Using that and adjusting compendo and dividendo we get the desired result
Answer:
4. x = 16.8
5. x = 35.98
Step-by-step explanation:
For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.
For number 4, the equation you are setting up is tan 35 = x/24. Multiply 24 on both sides to get the answer which is 16.8 for the x side.
For number 5, the equation you are setting up is tan 17 = 11/x. As a result on your calculator, you should get 35.98 for the x side.
So we know that the bag has total 15 cookies, and 1 cookie that does not have any raisin. Finally, the probability that one cookie won't have any raisin is 1/15 or 7 percent. Hope it help!
Answer:
28
Step-by-step explanation
we can use Greatest common divisor to solve
84 and 56 Greatest common divisor is 28(you can try)
so is 28 basket and every basket has 3 toys and 2 books
Answer:
0.1569 = 15.69%
Step-by-step explanation:
If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):
P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6
P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6
P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%