⇒If parallelogram A B CD is a rectangle, then Diagonals of parallelogram that is of rectangle will be of equal Length.
That is , Diagonal AC = Diagonal B D
⇒Given, AX= 3 y- 5
So, AC= 2 × (3 y- 5)→→[Diagonals of Parallelogram Bisect each other]
And, B D = 5 y
So,A C = B D ⇒→→Diagonals of a rectangle are equal.]
→2 ×(3 y - 5) = 5 y
→ 6 y - 10 = 5 y →→[Using Distributive Property of subtraction with respect to multiplication]
Combining Like terms that is Variables with Variables and Constant with Constant.
→ 6 y - 5 y = 10
→ y = 10
20% of $19,400 is $3,880
($19,400 / 5 = $3,880)
subtract 20% from the original value
($19,400 - $3,880 = $15,520)
it's now worth $15,520
You first simplify the expression using PEMDAS
-2x^3-10x^2+2x^3-10x^2+x
then combine like terms,
(-2x^3+2x^3), (-10x^2-10x^2), x
cancels out^
so the answer would be -20x^2+x
For 5-3/12 the equivalent expression is 60/12-3/12 And then for 1-4/9 the equivalent expression 9/9-4/9
draw a rectangle around it:
the widest part is from about -3 to 2 which is 5 units wide
height is from 3 to -4, which is 7 units
5*7 = 35
the top and bottom are angled so you can subtract a little for that
so I would estimate around 32 square units