Answer:
x=63
z=72, y=45
Step-by-step explanation:
Angles "z+y" and "x" add up to 180°, so they are supplementary angles.
angle B=72+b+63=180⇒b=180-135=45
angle B=72+45=117
angle A+angle B=180
x+117=180
x=180-117=63
angle D+angle A=180
z=72, y=45 alternate angles (opposite angle of parallelogram are congruent)
x+z=117 = angle B
Answer:
upper left
Step-by-step explanation:
The generic equation for a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Comparing that equation to the one you have, you can see that ...
-h = 0
-k = +3
r^2 = 9
Then you have (h, k) = (0, -3) and a radius of 3.
The circle has its center on the y-axis 3 units below the x-axis and just touches the x-axis. This is a description of the graph at upper left.
Answer:
Roll two dices
Step-by-step explanation:
Every dice rolled has two chances of six of winning by showing a 1 or 2, which is the same as one chance of three.
On the opposite, you have four chances of six of loosing by getting a 3,4,5 or 6, which is the same as two chances of three.
Since the chances of loosing are bigger than the ones of winning, every roll makes it more probable of getting a 3,4,5 or 6, so you need to roll as few dices as possible, in this case two is the minimum allowed.
The answer could be a=5.6