The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
It is given in the question that,
Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.
And

Since QS bisects angle PQR, therefore

Substituting the values, we will get

Answer:
25 people are not from Germany or France.
Step-by-step explanation:
1. You first want find out what is the number of people from Germany.
So you would find...
2/5 of 75
or
2/5*75= 30 people from Germany
2. Next you want to to find out the number of people from France.
So you would do the following...
75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)
4/9 of 45 to find the number of people from France.
4/9 *45= 20
3. Lastly you need to find the people who are from neither of the countries listed above.
Add 30+20= 50
Then subtract that number from 75.
75-50= 25 people who are from neither France or Germany.
Voila! This is your answer. Hope this helps! :)
Answer:
Total volume of all the bins = xS + yL
Step-by-step explanation:
Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.
To find: an expression that represents the total volume of all the bins
Solution:
The volume of the smaller bin = x cubic inches
The volume of the larger bin = y cubic inches
Also, the store has S smaller bins and L larger bins
So,
Total volume of all the bins = xS + yL
Answer:
They need to find 360 students in total
Step-by-step explanation:
The total amount for fees comes out to be 300$.
To make a profit of 1500, you have to add 1500$ to 300$, since 300 is the cost of the dance.
After adding this together, you get a cost of 1800$.
Divide this amount by the cost of each ticket, which is $5.
Your result is 360; you need 360 students to cover the cost and have a net profit of 1500$