Answer:
y=2/3x-2
Step-by-step explanation:
All of the given options are in slope intercept form.
Slope intercept form is y=mx+b
This is where m is the slope fo the line and b is the y intercept
That said, we can simply plug the given values into the form.
y=(2/3)x+(-2)
Simplify
y=2/3x-2
The measure of the interior angles would be 120°, and they would all add up to be 720°
Answer:
B and D
Step-by-step explanation:
First off, we can rotate it. When rotating, I found that the x and y values switch places in a way.
We would need to rotate it 90 degrees counterclockwise about the origin in order to get it in the same position as triangle BDE. This makes statement B correct.
In order to make triangle ABC smaller, the dilation would have to be smaller than one. Counting the right side's length, ABC has 6 squares and BDE has 3.
This would mean 6 * 1/2 = 3, meaning statement D is true.
Answer:
6 tables.
Step-by-step explanation:
If he has 15 shelves, we can put the overall number of books off to the side for a moment. First calculate how many books he COULD put onto shelves. This would be 7*15, since each of fifteen shelves can hold 7 books. Counting by fifteens or using a calculator allows us to see that the shelves can hold 105 books.
Going back to the original number of books, we subtract 105 from the original value. The equation at this point is 231 - 105. The result is 126 books left to put on top of tables. But we're not done yet!
Since a table can hold 25 books, we need to divide the remaining number of books by 25. That would be 126/25. Doing this gives us 5 tables we would need, plus one book let over. Since we've run out of shelves, we MUST use another table just for the final book. That's 5+1, or 6 tables. Let's not forget to label our answer.
