Given:
ΔABC
ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.


Do cross multiplication.


Add 192 on both sides.


Subtract 24x from both sides.


Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Answer:
d is the answer young man
The first thing we have to do is to calculate the
midpoint of the min and max speeds. We are given that the min and max is 74 and
95 respectively. The midpoint is then calculated as (max+min) / 2. Therefore:
midpoint = (74 + 95) / 2 = 84.5
Next, we calculate the distance from the midpoint to the
endpoint by doing subtraction. Therefore:
min endpoint: 84.5 – 74 = 10.5
max endpoint: 95 – 84.5 = 10.5
Now we know that v minus the midpoint will equal the
distance such that:
| v - midpoint | = distance.
To our problem,
| v – 84.5 | = 10.5
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do

and the student tickets sold were 2x the adult tickets, we can do

We can replace s in the first equation adding to 243 with 2a

Step 2:
Solve for a. We can divide both sides by 3.

Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!

And...

So, 81 must be the answer!