If two angles are complementary, it means that they add up to 90 degrees.
It two angles are congruent, it means that they have the same angle measure.
Let the angle measure of AXB = x
and the angle measure of BXC = y
Because the two angles are complementary i.e. they add to 90:
x + y = 90
Because the two angles are congruent i.e. they equal each other:
x = y
Plug x = y back into the first equation.
x + x = 90
x = 45
y = 45
Angles AXB and BXC are both 45 degrees.
The answer is really simple. 3 quarts is more. There are 4 pints in a quart. There are 4 quarts in a gallon.
Answer:
B. y = (x + 3)^2 - 17
Step-by-step explanation:
When Andy completes the square, he adds and subtracts the square of half the x-coefficient. That is, he adds and subtracts (6/2)² = 9:
... y = x² +6x +9 -8 -9
... y = (x² +6x +9) -17
... y = (x +3)² -17 . . . . . . . . matches selection B
Answer:
(a) This is just `8` people being arranged in a row: `8! = 40,320` (b) Regard the `2` boys as one "unit" and so there are `7` "units" to arrange. This can be done `7! = 5040` ways. The boys can be arranged in `2! = 2` ways, so the required answer is `7! × 2! = 10,080` (c) There are only `2` possibilities: the boys are together or they are not.
Step-by-step explanation: