Answer:gui
Step-by-step explanation:
Answer:
The perimeter is 
Step-by-step explanation:
we know that
A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal
so
In this problem
PS=QR ----> equation A
SR=PQ ----> equation B
The perimeter of parallelogram PQRS is
P=PQ+QR+SR+PS ----> equation C
substitute equation A and equation B in equation C
we have
substitute in the formula of perimeter
Answer:
Step-by-step explanation:
If KM bisects angle NKL, the angle 3 is congruent to angle 4.
We are given that angle 1 is congruent to angle 2, so that means that angle JKP is congruent to angle PKN. By the definition of an angle bisector, we know then that angle NKM is congruent to angle MKL. By the definition of a straight angle formed by opposite rays, all those angles named above add up to equal 180 degrees. So if angle JKN = 8x + 2 and angle MKL = 3x + 5 and angles NKM and MKL are congruent, then angle NKL = 2(3x + 5) which is 6x + 10. Again, if all those angles above add up to equal 180, then
8x + 2 + 6x + 10 = 180 and
14x + 12 = 180 and
14x = 168 so
x = 12.
Angle MKN = 3x + 5 so if x = 12, then
Angle MKN = 3(12) + 5 and
Angle MKN = 41 degrees
