Answer:
Given : MNPQ is a parallelogram whose diagonals are perpendicular.
To prove : MNPQ is a rhombus.
Proof:
In parallelogram MNPQ,
R is the intersection point of the diagonals MP and NQ( shown in below diagram)
(Because, the diagonals of parallelogram bisects each other)
(Right angles )
(Reflexive)
Thus, By SAS postulate of congruence,

By CPCTC,

Similarly,
We can prove, 
By CPCTC,

But, By the definition of parallelogram,
and 
⇒ 
All four side of parallelogram MNQP are congruent.
⇒ Parallelogram MNPQ is a rhombus.
Hence, proved.
Answer:
a. Sin (θ) = 3 / 5
b. Cos (θ) = 4 / 5
c. Tan (θ) = 3 / 4
Step-by-step explanation:
a. Sin (θ) = 6 / 10 = 3 / 5
b. Cos (θ) = 8 / 10 = 4 / 5
c. Tan (θ) = 6 / 8 = 3 / 4
Answer:
585
Step-by-step explanation:
9 flights = 13 steps
9x13=117 (117 is steps per day)
5x117= 585
This expression is factored completely. However, if we foil, we can make it to it's original expression.
When you foil, you get:

Simplify.

Answer:
525
Step-by-step explanation:
multiply 1250 by the decimal form of the percentage (42% turns to .42)