Answer: see proof below
<u>Step-by-step explanation:</u>
Statement Reason
1. YO = NZ 1. Given
2. OZ = OZ 2. Reflexive Property
3. YO + OZ = YZ 3. Segment Addition Property
NZ + OZ = NO
4. YO + OZ = NZ + OZ 4. Addition Property
5. YZ = NO 5. Substitution
6. ∠M ≅ ∠X 6. Given
7. ∠N ≅ ∠Y 7. Given
8. ΔMNO ≅ ΔXYZ 8. AAS Congruency Theorem
Answer: Each candy costs and each drink costs
Step-by-step explanation:
We are told Dominic bought 2 drinks and 5 candies, costing a total of :
(1)
Then, we are told Colton bought 8 drinks and 7 candies, costing a total of :
(2)
Now we have a system with two equations ans two unknowns. Let's solve it:
Multiplying (1) by -4:
(3)
Summing (2) and (3):
(4)
Isolating :
(5) This is the cost of each candy
Substituting (5) in (1):
(6)
Isolating :
(7) This is the cost of each drink
Hello.
In order to ease comprehension, let's replace 'sin x' with 'y'.
In the interval: [0, 2pi]:
y = pi/6 or 5pi/6
Hope I helped.
1) montly rate, r = 5% / 12 = 0.416% = 0.00416
2) capital, C = $ 450 = present value
3) time = 11 years => number of periods = 11 * 12 = 132
4) Formula: FV = C * (1 + r) ^ (number of periods)
5) Calculation: FV = $450 * ( 1 + 0.00416)^(132) = $ 779.07
Answer: $ 779.07
Answer:
Step-by-step explanation:
+8.84 +8.84
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