1. Yes is possible for a parallelogram to have 4 sides equal with an interior angle of 60.
Is the answer 2:3??

2. Is the answer 0.8??

I get the ratio as 1:sqrt(3)
Let me explain.
Let the parallelogram(rhombus) of equal sides have side length of x.
The diagonals bisect each other and also the angles. So u will have 4 right 30-60-90 triangles with hypotenuse = x. The the sides of this triangle are in the ratio
k: k sqrt(3): 2k.

So the shorter side of this litle triangle =x/2
longer side = x sqrt(3) / 2
Hypotenus = x

each of the sides are actually half the diagonals.
So shorter diagonal = 2 * x/2 => x
Longer diagonal = 2 * x sqrt(3)/2 => x sqrt(3)

ratio = shorter diagonal / longer diagonal = x / x sqrt(3)
=> 1: sqrt(3)

Pls let me know ur thoughts

For second question I think 4/5 or 0.8

can someone please explain why its 4/5 for the second question .

gmatguy16 wrote:can someone please explain why its 4/5 for the second question .

60% of the tigers survive till 20

or 60 out of 100 tigers survive till 20

48 out of 100 tigers survive till 25


if 60 survived at 20, and out of these 60, 48 survived till 25.

total probability = 48/60 = .8 or 80%

Hope this helps.