When you see questions of this nature, test the individual inequalities and look out for their intersection.
For

Choose a point in the lower or upper half plane created by the line

The above line is the one which goes through the origin.
Now testing (1,0) yields,

That is,

This statement is true. So we shade the lower half of

For

We test for the origin because, it is not passing through the origin.

This yields

This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph
The measure of x is 24 degrees
One straight line is 180 degrees
We already have another line that forms an angle with the straight line and it gives u 156
So just subtract 156 from 180 to see what remains and that’s the answer
D=# of tickets sold at the door
a=# of tickets sold in advance
3a+5d=2630
d=a+30
3a+5(a+30)=2630
8a+150=2630
8a=2480
a=310
d=340
310 tickets were sold in advance and 340 tickets were sold at the door.
42.50$ ? 21 times 1.25 plus 13 times 1.25 = 42.50?
9514 1404 393
Answer:
(c) 52.0
Step-by-step explanation:
The angle whose cosine is 8/13 is found using the inverse cosine function:
y° = arccos(8/13) ≈ 52.0°
y ≈ 52.0
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The calculator button to compute this value is probably labeled cos⁻¹. You may need to access the function using a <em>Shift</em> or <em>2nd</em> key. The calculator must be set to degrees mode to prevent the answer from appearing in radians or grads. If you use a spreadsheet, your formula may look like ...
=DEGREES(ARCCOS(8/13))