What would be the reasons for lines 3 and 4? A. Addition property; subtraction property B. Addition property; solve C. Substitut
ion property; subtraction property D. Substitution property; prove
2 answers:
Answer:
C
Step-by-step explanation:
We are given that angle 1 and angle 2 are supplementary angles.
We have to find the reason for line 3 and 4.
1.Angle 1 and angle 2 are supplementary angles
Reason:Given
2.
Reason:Definition of supplementary angles.
3.
Reason:Substitute property
4.
Reason:Subtraction property of equality
Hence, option C is true.
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Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins: ...(i)
Total amount: ...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get
Divide both sides by 0.15.
Putting x=43 in (iii), we get
So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.