See the diagram of the circumscribed polygon attached below:
Answer:
A. 14.2 in.
Step-by-step explanation:
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g
Let's find g.
a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)
b = 3.4 - 1.9 = 1.5 in.
b = c = 1.5 in. (Tangents drawn from an external point)
d = 3.6 - 1.5 = 2.1 in.
d = e = 2.1 in. (Tangents drawn from an external point)
f = 3.7 - 2.1 = 1.6 in.
f = g = 1.6 in. (Tangents drawn from an external point)
✔️Therefore,
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.
Factor and set each factor equal to zero:
x = -3, 3, 2i, -2i
Answer:
60
Step-by-step explanation:
x + 0.30x = 78
1.30x = 78
x = 60
A sandwich store charges a delivery fee to bring lunch to an office.
Delivery cost - D
Meatball sandwich cost - M
One office pays $40.50 for 5 meatball sandwiches.
40.50 = 5M + D
Another office pays $66.50 for 9 meat ball sandwiches
66.50 = 9M + D
A. How much does each meatball sandwich add to the cost of delivery?
D = 40.50 - 5M = 66.50 - 9M
40.50 - 5M = 66.50 - 9M
9M - 5M = 66.50 - 40.50
4M = 26.00
M = 6.50
B. What is the delivery fee
D = 40.50 - 5M = 40.50 - 5(6.50) = 40.50 - 32.50 = 8.00
Check
66.50 = 9M + D = 9(6.50) + 8 = 58.50 + 8.00 = 66.50