Answer:
Original price of the television = $850
Step-by-step explanation:
Television price on sale = $680.00
% of sale = 20%
It means price on sale = 80% = $680.00
Original price of the television = 100% = ?
Price on 1% = 680/80 = $8.5
Original price of the television = 100% = $8.5 x 100
= $850
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.
FH is one diagonal that is split into two equal pieces by the other diagonal EG.
The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH
By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH
Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)
and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8
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Answer: x = 8
Answer: 30
Step-by-step explanation:
6x5
The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph
<h3>
Speed</h3>
Speed is the ratio of total distance to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the first runner and b for the second runner. Hence:
a = (4/5)b
After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:
a = d₁ / 0.5
d₁ = 0.5a
Also:
b = d₂/0.5
d₂ = 0.5b
d₁ + d₂ = 2, hence:
0.5a + 0.5b = 2
0.5(4/5)b + 0.5b = 2
b = 2.22 mph
a = (4/5) * 2.22 = 1.78 mph
The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph
Find out more on Speed at: brainly.com/question/13943409
