Answer:
This is proved by ASA congruent rule.
Step-by-step explanation:
Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ
we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.
In ΔAPN and ΔAQL
∠PNA=∠ALQ (∵alternate angles)
AN=AL (∵diagonals of parallelogram bisect each other)
∠PAN=∠LAQ (∵vertically opposite angles)
∴ By ASA rule ΔAPN ≅ ΔAQL
Hence, by CPCT i.e Corresponding parts of congruent triangles PA=AQ
Hence, A is equidistant from LM and KN.
Answer:
It means the Judy's rate to complete the puzzle is 
Step-by-step explanation:
If Judy completes a puzzle by herself, it takes her 3 hours.
Working with Sal, it only takes them 2 hours
We have been given the rates of time taken by Judy and Sal to complete a puzzle.
We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.
It is given that Judy completes a puzzle by herself, it takes her 3 hours.
so part of puzzle completed by Judy in one hour would be
Therefore, the part of puzzle completed by Judy in one hour is
Answer:
134.0 in^3
Step-by-step explanation:
Volume = (radius^2 * pi * height)/3 = (4^2 * pi * 8)/3 = 134.0 in^3
If you want to translate a point (x,y) to the left, you have to subtract the number of units (n) that you want to translate it from the original x coordinate, like this:
(x-u,y)
And if you want to translate a point (x,y) downwards, just subtract the number of units n you want to translate from the y coordinate, like this:
(x,y-n)
in this case, we have the point (-5,0) which image would be:
After a translation of 2 to the left
and with 1 unit down, this point would look like this:
(-5-2,0-1)=(-7,-1)
