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>
A)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12
Hope this helps :)
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34
a(2) = a + d = 34 + 7 = 41.
