Answer:
The measure of angle 2 is 52°.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that

and x=6.
From the below figure it is clear that Lines 1,2 and 3 intersect each other at a point and form 6 angles.
It is clear that angle 2 and angle 5 are vertical opposite angles because these angles created by intersection of line 2 and line 3.
If two lines intersect each other then vertical opposite angles are congruent.
(vertical opposite angles)

Substitute x=6.



Therefore, the measure of angle 2 is 52°.
Answer:
The quotient is -3
Step-by-step explanation:
we have

Multiply in cross

Simplify
Remember that

substitute

we know that

substitute

Answer:
Area of base: 16. Height: 3
Step-by-step explanation:
Each triangle represents one side of the pyramid. The base is the square. The area is length x width, so the base area is 4x4=16. The height of each face is 3.
Answer:
D. 2(√{x} + √{x - 2})
Step-by-step explanation:
As hinted in the question, we have to simplify the denominator.
To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x² - y², right? Check the next line:
(x - y) (x + y) = x² + xy -xy - y² = x² - y²
If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values:

Then we simplify:

Answer is D. 2(√{x} + √{x - 2})