Question

If AC = AB + BC and AB + BC = 13 then AC = 13 what property justifies the conclusion

Answer 1

AC = AB + BC

AB + BC = 13

then AC = 13

Lets us assume AB + BC as X, then it is

AC = X

X = 13

then AC = 13

This is the transitive law. If a=b, b=c then c=a

Answer 2

Transitive Property of Equality

Explanation:

Properties of equality can be used to solve for unknown values.

Transitive Property of Equality

The transitive property states that if one value is equal to 2 other values, then those other values are also equal. This can be written as the conditional statement:

• If a = b and b = c, then a = c

This property can help us solve equations or find unknown values. Additionally, because the transitive property can help prove that 2 values are equal, it is helpful in proofs.

Finding AC

Now we can look to see how the transitive property applies to the situation above. In the question, we are told that AB + BC is equal to AC and 13. So, we can use the transitive property to say that AC also equals 13. This is an example of how the transitive property can be used to find an unknown value.