Answer: The distace between midpoints of AP and QB is 
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ = 
QB =
Substituing:
AP + 2*() = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB =
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:
<u>Midpoint of QB</u>:
The distance is:
d = 
d =
Let
x--------------> a number
we know that
<span>three sets of a sum of a number and four----------> 3(x+4)
t</span><span>he sum of 7 times the same number and 13--------> 7x+13
therefore
</span>(Three sets of a sum of a number and four) are added (to the sum of 7 times the same number and 13) ----------> [3(x+4)] + [7x+3]
[3(x+4)] + [7x+3]------> [3x+12] + [7x+3]=10x+15
the answer is 10x+15
Answer:
The gain percent made by shopkeeper is 10.5%.
Step-by-step explanation:
Given:
Price at which goods are marked = 30%
Discount on the marked price = 15%
To Find:
Gain percentage of the shopkeeper
Solution:
Let the cost price of the product be = 100
Therefore,
MP = 30 + 100 = 130
Since discount is 15%. thus -
Discount = 15/100 x 130
= 19.5
Selling price = MP - Discount
SP = 130 - 19.5
= 110.5
Profit = SP - CP
= 110.5 - 100
= 10.5
Calculating the gain%
Gain% = 10.5/100 x 100
= 10.5
Answer: The gain percent made by shopkeeper is 10.5%.
