Answer: D. Cannot be determined.
If Angle 3 were not included, the answer would be A, 360°
Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.
Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°
Angles 1 and 2 are also supplementary, another 180°
But we don't know the measure of angle 3, so getting an exact sum is impossible here.
Doesn't play sport
Plays sport |
| |
V V
Takes language | 21 | 17 |
-----------------
Doesn't take language | 12 | 4 |
Answer:
3r+5
Step-by-step explanation:
<span>a.) Let x be the number of tickets sold before the event and y the number of tickets sold on the day of the event. Then x + y =< 800 and 6x + 9y >= 5000. (b.) Suppose the club sold 440 tickets before the event, i.e. x = 440, maximum number of tickets remaining to be sold = 800 - 440 = 360. Maximum amount realized from the sales supposing all tickets were sold = 6(440) + 9(360) = 2640 + 3240 = $5880 which is greater than $5000. Therefore, it is possible for the club to sell enough additional tickets on the day of the show to meet the expenses of the show.</span>
The area of the shaded sector must be 144π units².
<h3>What is the area of the circle?</h3>
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = 
We know that the angle measurement of central angle QRS is less than π radians.
for r = 18 units
The area of the circle = π18² = 324π units²
The area of the half of a circle = 324π /2 = 162π units²
The area of a quarter of a circle = 324π /4 = 81π units²
so
The area of the shaded sector < 162π units²
and
The area of the shaded sector > 81π units²
Hence the answer must be 144π units²
Learn more about angles;
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