The question is an illustration of equivalent ratios and similar triangles.
<em>The true option is: </em>
<em />
From the diagram, we have:
---- This is so because both lines are marked once
Also, we have:
---- This is so because both lines are marked twice
Divide both equations

Hence, the true option is: 
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Answer:
33.33%
Step-by-step explanation:
We need to calculate the <u>unit selling price and cost of each cosmetics.</u>
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
Answer:0.0057
Step-by-step explanation:
Answer:
1. a =3(2a) +5 and a= 6a+5
2. 47=3(2times 7) +5 and 47 =6 time 7 plus 5
Step-by-step explanation:
Answer:
The coordinates of the point P is 14.
Step-by-step explanation:
Let point A is at 8 and B is at 16.
P is the point where the line segment in the ratio 3 : 1.
This is also where P is
rds the distance from A to B
The total distance is |16 - 8| = 8
The distance between point AB is 8 units.
of 8 is 6.
So, the point P is 6 units from A
.
8 + 6 = 14
P is at 14
Hence, the coordinates of the point P is 14.
This also works if you go 1/3 from B.
-8 is 4 from -4 which is 1/3 of 12.