Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A 36% discount means the selling price is (100-36)% = 64% of the original price.
$272 = 64% of x = 0.64·x
x = $272/0.64 = $425
Answer:
3/16
Step-by-step explanation:
Monica has a 24-inch square frame.
There are 4 equal sides.
Hence, length of each side=24/4 inch
= 6 inch
She paints 3/4 of one side of the frame blue.
i.e. she paints
inch
Total part to be painted=24 inch
Hence, fraction of the frame Monica painted blue is:

The difference between them is 10
-4 - 6 = -10, however since it is only asking for the <em>difference, </em>your answer would be 10.
Answer:
Thus, Amit ran 3.33 KM
calculation needed:
conversion of time (40 minutes to hour)
multiplying velocity and time (which we got in hours)
Step-by-step explanation:
Given
to calculate the distance: . v times t
that is multiply v with t
where v is average velocity
t is the time
__________________________________
Given
v = 5 km/hour
time = 40 minutes
since speed is in Km per hour and also we have to find distance in km
lets convert time which in 40 minutes to hour
we know
60 minutes = 1 hour
1 minute = 1/60 hour
40 minutes = 40/60 hour = 2/3 hour
distance = v times t
distance = 5*2/3 = 10/3 = 3 1/3 km = 3.33 km
Thus, Amit ran 3.33 KM
calculation needed:
conversion of time (40 minutes to hour)
multiplying velocity and time (which we got in hours)