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°
9514 1404 393
Answer:
5.2 in
Step-by-step explanation:
An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.
Using trig, the height is ...
(3 in)tan(60°) = 3√3 in ≈ 5.2 in
Using the Pythagorean theorem, ...
h² = 6² -3² = 27
h = √27 ≈ 5.2 . . . inches
Answer:
y
=
m
x
+
b
in order to solve for
b
. Then, plug in known values.
y
=
0.6
x
+
0.6
Step-by-step explanation:
is this the answer u were looking for?
Answer:
d
Step-by-step explanation:
d. neither
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The regular selling price per unit for the laptop is $298.6.
<h3>How to calculate the price?</h3>
Let the regular price per unit be x.
The expense is 19% of the selling price and profit is 25% of the selling price. This will be illustrated as:
x + (19% × x) + (25% × x) = 430
x + 0.19x + 0.25x = 440
1.44x = 430
Divide
x = 430 / 1.44
x = 298.6
The price is $298.6
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