Answer:
see explanation!
Step-by-step explanation:
Line N
- A set of points where the coordinates of each point have a sum of 2
Line M
- A set of points where the y-coordinates of each point is 10 less than its x-coordinate
Any coordinate on N has a sum of 2.
Any coordinate on M has a y that is 10 less than the x.
Hi there!

Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
Answer:
The measure of the arc PJ is 
Step-by-step explanation:
step 1
Find the measure of angle L
we know that
In a inscribed quadrilateral opposite angles are supplementary
so

we have

substitute


step 2
Find the measure of arc KJ
we know that
The inscribed angle measures half that of the arc comprising
so

substitute the values



step 3
Find the measure of arc PJ
we know that
The inscribed angle measures half that of the arc comprising
so

substitute the values



Answer:
3 7/8-2 5/8
<u>31</u><u>-</u><u>21</u>
8
=10/8
=1 1/4 more
To do this multiply 1 by 4, then 3 by 5. 4 over 15 is your answer.