Answer:
FIGURE 1:
x = 118; y = 96
FIGURE 2:
x = 85; y = 65
Step-by-step explanation:
FIGURE 1:
You know that x = 118 because of the Corresponding Angles theorem.
Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.
FIGURE 2:
In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.
Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.
Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.
Answer:
1) 0.1667
2) 0.8333
3) 1
Step-by-step explanation:
Let A be the event that 3 is observed on the first trial.
Let B be the event that at least two trials are required to observe a 3
a) A six-sided die has 6 possible outcomes of 1,2,3,4,5,6
3 is one of the six possible outcomes
P(A) = no of favourable outcomes /no of possible outcomes
P(A) = 1/6 = 0.1667
b) The event of requiring at least two trials to observe a 3 is the event of not observing a 3 on the first trial.
P(B) = P(A')
P(A')= 1 - P(A)
P(B) = 1 - 1/6
= 5/6 = 0.8333
c) P(AnB) = P(A) + P(B)
= 1/6 + 5/6
= 6/6 = 1
I think the answer is D, I've been told it's D by many people.
$0.56. 0.7/5=$0.14 $0.14 is the amount per minute. so then you would multiply $0.14 x 4= $ 0.56
Jiri is 22 years old and Pamela is 66
22•3=66
22+66=88
