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:
Option C
Step-by-step explanation:
From the number line given in the picture,
Blue arrow has the starting point at a = 6 (Dark point) and moving towards negative side of the number line.
Therefore, number line represents a ≤ 6
3a ≤ 3(6)
3a ≤ 18
3a - 11 ≤ 18 - 11
3a - 11 ≤ 7
Therefore, Option C is the correct option.
Answer:
<u>-1/3</u>
Step-by-step explanation:
because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.
Answer:
x = 13.5
Step-by-step explanation:
To find x, we use the sine rule
For the sine rule,
the ratio of the sides to the sine of the angle facing the side is equal for all the sides of the triangle
Thus,
x/sin 34 = 11/ sin 27
x = 11 sin 34/sin 27
x = 13.5
Answer:
25/64
Step-by-step explanation:
ratio of perimeters = 15/24 = 5/8
ratio of areas = square of ratio of perimeters
ratio of areas = (5/8)^2 = 25/64
