Answer:
8 people in the original group.
Step-by-step explanation:
Let x be the number of people who were originally present for the dinner that cost $160. Their average cost per person would be:
$160/x
If 2 more people join, there are x+2 people. Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner. The average cost is now:
$160/(x+2)
We are told that this new average is now $4 less per person.
$160/(x+2) = ($160/x) - $4
$160 = (($160/x) - $4)(x+2)
x = 8 people
You would do 306+407, which is 713. Then you would do 713+237, which is 950. <u>(950 is your answer)</u>.
By similarity of triangles we have the following relationship:
(YZ) / (XZ) = (ef) / (df)
Substituting values we have:
(10) / (15) = (8) / (df)
Clearing we have:
df = (15/10) * (8)
df = 12 meters
Answer:
The value of DF is given by:
df = 12 meters