If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. False, diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles. A kite with all consecutive angles congruent must be a square.
Answer:
2 20/24
Step-by-step explanation:
divide 4/2=2
then do 5/8÷3/4=5/8×4/3=20/24
u basically inverse 3/4
2 20/24
Answer:
x = 3
Step-by-step explanation:
-6x - 20 = -2x + 4 (1 - 3x)
Distributive property
-6x - 20 = -2x + 4 - 12x
Combine like terms
-6x - 20 = -14x + 4
Add 14x to both sides
-6x - 20 + 14x = -14x + 4 + 14x
Simplifying
8x - 20 = 4
Add 20 to both sides
8x = 24
Divide both sides by 8
x = 3
Answer:
Step-by-step explanation:
If you want to make

into a perfect square binomial, take half the linear term, square it, then add it to both sides. Our linear term is 12. Half of 12 is 6, and 6 squared is 36.
The value that makes this a perfect square binomial is 36.
Writing the expression as a square of the binomial is:

Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)