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:
the balance would be 48000
Step-by-step explanation:
First you really dont have to do with the 3.9%
If 4000 is invested and you need the balance after 12 years you just multiply
4000 times 12=48000
Answer:
9.5 ft
Step-by-step explanation:
12.4 times 2 is 24.8 feet (this is the two lengths combined)
since the garden is 43.8 feet, subtract. 43.8 - 24.8 = 19
lastly, 19 divided by 2 is 9.5.
Answer:
13 yds
Step-by-step explanation:
the blue side starter (B) swims 29yd in the time it takes the red side starter (R) to swim 21yd
their combined distance, when they meet, is 50yd (length of pool)
they pass each other and continue to the ends of the pool (combined distance, 100yd)
they swim towards each other again, and pass a second time (combined distance, 150yd)
at this point, R has swum 63yd (3*21) -- one length plus 13yd
so RS is 13yd from the blue end
2g - 2h = b + 4
2g = b + 4 + 2h
g = (b + 4 + 2h) / 2
