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:
5
Step-by-step explanation:
Use the exponent rule
Simplifying the top of the fraction
5^2*5*5^3=5^2+1+3=5^6
Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5
Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.
Therefore, the answer is 5.
Answer:
A
Step-by-step explanation:
sin is opposite/hypotenuse, which is 24/26, simplifying to 12/13
Answer:
x + y = 4 Equation 1
y = 2x -1 Equation 2
-2x + y = -1
x + y = 4
Subtract
You will get
- 3x = -5
Divide by -3
-3x / -3 = - 5 /-3
x = 5/3
Substitute x into equation 1
x + y = 4
x = 5/3
5/3 + y = 4
y = 4 - 5/3
y = 7/3
x = 5/3 y = 7/3
Hope this helps.
The chances of picking an even number (that is not odd) would be 1 out of 3