Work shown above! x = 117 degrees
The rule is, the numbers are each going up by 2/6's
E.g. 1/6 , 3/6 (= 1/2), 5/6 , the missing number is, 1 whole and 1/6
<span>1. take English and niether of the other two?
</span>36-6 that we know take all 3
This leave 30.
Subtract the 6 from those taking history and English. Leaves 10.
Subtract the 10 from those taking English.
This leaves 20.
Subtract the 6 from those taking political science and English. Leaves 8.
Subtract 8 from those taking English.
Leaves 12
<span>
2. take none of the three courses? </span>
<span>
3. take history, but niether of the other two
</span>Do the same with history as we did with English.
32-6 = 26 -10=16-10=6
<span>
4. take political science and history but not english
</span>16-6 (that take all 3) = 10
Hope at least the partial answer helps!
An arc of length 30 m : l = 30 m.
r = 15 m, ∠ A = ?
Formula for the length of an arc is:
l = r π A / 180° ( where A is the central angle )
A = l · 180 / r π = ( 30 · 180 ) / ( 15 · 3.1415926 ) = 114.43 °
This is very close to your result.
Parallel lines have the same slope so for the new line we m=-2 and the point (2,2) we will substitute this info into our line to solce for b the y intercept.
Y=-2x+b
(2)=-2(2)+b
2=-4+b
2+4=-4+4+b
6=b
Now we put it all together using the slope m=-2 and the y intercept of 6
Y=-2x+6
