The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
Answer:
57.95
Step-by-step explanation:
The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.
If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.
If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.
It looks to me like y = 4x + 1
Step-by-step explanation:
1. divide 78% by 100 = 0.78
2. multiply 0.78 and 3.822
3. solve and get 2.98116
4. if you want you could round
5. x = 2.98166 or 3
Answer:
Recursive
a(1) = 9 ; a(n+1) = 3 * a(n)
Explicit
a(n) = 9 * 3^(n-1)