Answer:
Part 1) 
Part 2) 
Part 3) m∠K=61°
Part 4) m∠L=119°
Part 5) m∠M=61°
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
Part 1) Find the side MN
we know that
MN≅KL ----> by opposite sides
we have

therefore

Part 2) Find the side KN
we know that
KN≅LM ----> by opposite sides
we have

therefore

Part 3) Find the measure of angle K
we know that
m∠K+m∠N=180° ----> by consecutive interior angles
we have
m∠N=119°
substitute
m∠K+119°=180°
m∠K=180°-119°
m∠K=61°
Part 4) Find the measure of angle L
we know that
m∠L≅m∠N ----> by opposite angles
we have
m∠N=119°
therefore
m∠L=119°
Part 5) Find the measure of angle M
we know that
m∠M≅m∠K ----> by opposite angles
we have
m∠K=61°
therefore
m∠M=61°
Answer: 37.5%
Step-by-step explanation:
Percentage = Given Quantity/Total Quantity*100
So here, it will be like: 45/120*100
=0.375*100
=37.5%
Answer: 9.8 inches
Step-by-step explanation:
Since x = 2 inches
Rainfall in April = x inches = 2 inches
Rainfall in May = x + 1.3 = 2 + 1.3 = 3.3 inches
Rainfall in June = 2x + 0.5 = 2(2) + 0.5 = 4.5
Total rainfall = 2 + 3.3 + 4.5 = 9.8 inches
We can say that x is the largest number.
So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5
Now solve for x:
x + x + x + x + x - 1 - 2 - 3 - 4 = -5
5x - 10 = -5
5x = 5
x = 1
So the largest number is 1.
Check: 1 + 0 + -1 + -2 + -3 = -2 + -3 = -5 so 1 is correct.