Answer:
The measure of arc BC is 96 degrees
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
we have
substitute
Answer:
r = -4
Step-by-step explanation:
If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.
This creates the equation 1-8r=13-5r.
Now it's just simple algebra.
You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.
Checking our answer, you see that 1-8(-4)=1-(-32)=1+32=33, and 13-5(-4)=13-(-20)=13+20=33.
Answer:
Step-by-step explanation:
The number of collectibles with Maria = x
The number of collectibles with Mark = 5x
The number of collectibles with Jim =(5x - 6) /2
(5x - 6) /2 = 112
5x - 6 = 112 * 2
5x - 6 = 224
5x = 224 + 6
5x = 230
x = 230/5
x = 46
The number of collectibles with Maria = 46
375 multiplied by 225 is 84,375 feet is the area
Ken: 1/4 of 10,000 sq. Feet is 232.25 mowed in 12 minutes (1/5 of an hour). Ken has 9,767.75 left to mow which he’ll need 8 hours and 24 minutes to finish. Katie: 2/6 of 10,000 sq. Feet is 557.41 mowed in 20 minutes (2/6 of an hour). so Katie has 9,442.59 of the lawn left to mow, it’ll take 5 hours and 20 minutes for Katie to finish. So Katie mows the lawn faster