Answer: Choice B)
The points A, C and D form a triangle which is the front face you see in the pyramid. Point F is not on this triangle at all. Point F is towards the back at the base of the pyramid away from this front face. So we consider A,C,D,F collectively as a whole to be not coplanar. If we ignored the point F, then we can say that A,C,D are coplanar.
Answer:

Step-by-step explanation:
The sum of the interior angles of a polygon with
sides is
. Since the shape in the figure has 5 sides, the sum of its interior angles is
.
Therefore, we can set up the following equation:

Since
and
make up one side of a line, they are supplementary, as each side of a line is
.
Thus, we have:

Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a -
)²
= a² - 2 + 
= a² +
- 2
= 11 - 2
= 9
Thus
(a -
)² = 9 ( take the square root of both sides )
a -
= 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48