Answer:
My answer got deleted for some reason so lemme try again:
Answer:
5. A
6. B
7. 115
8. 97
9. 123
Step-by-step explanation:
5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc
6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles
7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8
8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6
9. m<1 and m<6 add up to 180 degrees.
Answer:
f(r) = r/4
Step-by-step explanation:
The volume formula for a cylinder is ...
V = πr^2·h
The total surface area of a cylinder is ...
A = 2πr^2 +2πrh
Then the ratio of volume to surface area is ...
V/A = (πr^2·h)/(2πr(r+h)) = rh/(2(r+h))
__
In this problem, we have h = r, so the ratio becomes ...
V/A = r·r/(2(r+r)) = r/4
As a function of r, this is ...
f(r) = r/4
Step-by-step explanation: Think of a translation as just sliding a figure.
So here, we will move each of the points 1 unit to the left.
Take a look below.
On the new figure translate I used the ' next to the letters.
That means "prime" which shows that we changed its location.
Make sure to use that on the new translation!
Answer:
i cant help you on a paper like that I don't know how ill be telling you the answers which
Step-by-step explanation:
Cost of the spa treatment = $42
Percentage of sales tax = 6%
Percentage of tips = 20%
Normally the tips amount is calculated before adding sales tax.
Then
Amount of tips given = (20/100) * 42
= (1/5) * 42
= 8.40 dollars
Amount of sales tax taken = (6/100) * 42
= 252/100
= 2.52 dollars
Then
The total amount spent for spa treatment = (42 + 8.40 + 2.52) dollars
= 52.92 dollars
So we can see that $52.92 has been spent in total for spa treatment and this amount includes a sales tax of $2.52 and a tip of $8.40.