Answer:
let y=the inner missing angle
y+x+31=180
y+(2x-8)=180
and combine the two
2x-8-x-31=0
x=39
Step-by-step explanation:
Answer:
The answer is A. Objects that have the same size and shape.
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same size or shape, or if one has the same shape and size as the mirror image of the other.
So we can think of this as two semi circles and a rectangle. The rectangle has two exposed sides, meaning there are only two sides that should be accounted for in the overall perimeter. So for the rectangle, the exposed perimeter is 720. Because total there is a full exposed circle (2 half circles) we can find the perimeter (circumference) and add it to 720. In order to find the circumference we multiply diameter by pi. This is approximately 691.15. This added to the 729 gives us a total of 1411.15
Here we have to find the probability . Now express the probability in terms of standard normal cumulative distribution function. That is .
Now you can look up the probability from the standard normal tables. Its value is
Answer:
74 inches
Step-by-step explanation:
P = 1/2(b1+b2)h
= 1/2(15+22)4
= 1/2(37)4
= 1/2(148)
= 74'