Step-by-step explanation:
1. Both pairs of opposite sides are congruent <u>Distance Formula</u>
2. Both pairs of opposite sides are parallel <u>Slope Formula</u>
3.Diagonals are congruent <u>Distance Formula</u>
4. Diagonals bisect each other <u>Midpoint Formula</u>
5.Diagonals are perpendicular <u>Slope Formula</u>
6.Sides of polygon create a right angle <u>Slope Formula</u>
7.A triangle is isosceles / equilateral <u>Distance Formula</u>
Answer:
Step-by-step explanation:
Unknown number be 'x'
4x-10>1000
Answer:
B. $3525.43
Step-by-step explanation:
We will use continuously compound interest formula to solve our problem.
A= Amount after T years.
P= Principal amount.
r= Interest rate (in decimal form).
e= The mathematical constant e.
T= Time in years.
First of all we will convert our interest rate in decimal form.

Now let us substitute our given values in above formula.




Therefore, we will get an amount of $3525.43 after 10 years and option B is the correct choice.
Answer:
slope: -3/4 y-intercept: 3 equation: y=(-3/4)x+3
Answer:
Length = 2x + 5
Width = x + 3
Step-by-step explanation:
Area of rectangle = length × width
Expression for area of the rectangle = 2x² + 11x + 15
Factorising the quadratic expression
2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)
Length = 2x + 5
Width = x + 3