Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the 
and the 
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
Answer:
Step-by-step explanation:
We have two random variables X and Y. 
and given that X=x, Y has uniform distribution (0,x)
From the definition of the uniform distribution we have the densities for each random variable given by:
And on this case we can find the joint density with the following formula:
And multiplying the densities we got this:
Now with the joint density we can find the expected value E(Y|x) with the following formula:
And replacing we got:
Answer:
The widths and depths are the same. Since volume is length x width x height, you get 2x2x4=16, 3x3x6=54, 4x4x8=128, 5x5x10=250
Answer:
240 mi^3
Step-by-step explanation:
Base area = length x width = 10 x 8 = 80 mi^2
V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3
Answer:
Step-by-step explanation:
Find the parabola through (
−
8
,
6
) with vertex (
−
6
,
-5
)
.
Standard Form: y
=
−
11
/4x
²−
44
x
−
170
Vertex Form: y
=
−
11
/4
(
x
+
8
)
2
+
6
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