Answer:
B
Step-by-step explanation:
A dime = 0.10
A nickel = 0.05
N + D = 28 coins
Rewrite this as N = 28 -D
0.10D + 0.05N = 1.95
Replace N withe the rewritten equation above:
0.10D + 0.05(28-D) = 1.95
Use the Distributive Property:
0.10D + 1.4 - 0.05D = 1.94
Add the like terms:
0.05D + 1.4 = 1.95
Subtract 1.4 from both sides:
0.05D = 0.55
Divide both sides by 0.05
D = 0.55 / 0.05
D = 11
Nickels = 28 - 11 = 17
There are 11 dimes and 17 nickels.
See picture below. Being that you did not provide possible answers, I don't know what answer you can choose from.
Answer:
α = 62°
β = 56°
gamma = 90°
Step-by-step explanation:
ΔAOB is isosceles, so m∠A = m∠ABO = 28
28 + 28 + m∠AOB = 180
m∠AOB = 180 - 28 - 28 = 124
β = 180 - 124 = 56
arcAB = 124
ΔBOC is isosceles. α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62
∠D is inscribed in a semicircle
m∠D = gamma = 90°
