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: Okay! Here is your answer!
Exact form : 41/6
Decimal form : 6.83 (line over the 3)
Mixed number form : 6 5/6
Step-by-step explanation: Substitute the value of the variable into the equation and simplify.
Hope this is what you were looking for and I hope it helps you out! ☺
One-third of a number x is equal to 22 less than the number.
(1/3)x=x-22
Answer:
400 cupcakes
Step-by-step explanation:
So, 340 is 85%. 15% is chocolate.
340/x = 85/100
34000=85x
x=400
Total = 400 cupcakes.
Hope this helps!