Answer:

Step-by-step explanation:
8^2+5^2=c^2
64+25=c^2
89=c^2
c=
<-- this is the length of the rectangle at the bottom
2^2+(
)^2=c^2
4+89=c^2
c=
<-- length of dotted line (diagonal)
1.5 minutes = 90 second
The probability density function is

so the probability of interest is


Answer:
There were 49 questions on this Geometry test.
Step-by-step explanation:
You can start by setting up a proportion:
x = total number of questions on Geometry test
= 
Now, to solve for x, cross multiply:
75.51x = 3700
Finally, isolate x and solve:
x = 49.0001324328
This is very close to 49.
Answer:
x = 52
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ PQS is an external angle of the triangle, thus
x + 72 = 90 + 34 = 124 ( subtract 72 from both sides )
x = 52