Question

Given: m Prove: x = 15

What is the missing statement and the missing reason in step 5?

A. Statement: 60 = 3x + 15; Reason: substitution
B. Statement: x = 15; Reason: subtraction property of equality
C. Statement: 60 = 3x + 15; Reason: transitive property
D. Statement: x = 15; Reason: subtraction and division properties of equality

Answer 1

The answer would be option A "Statement: 60 = 3x + 15; Reason: substitution." Remember that substitution means replacing something with something else. In this case you would be replacing variables separating the term and the variable in two different equations to get your answer.

$3x = 3 + \frac{3}{2}$

$3x = x + \frac{x}{2}$

Therefore your answer is indeed option A.

Hope this helps.

Answer 2

Missing statement and missing reason in step 5 are (A) Statement: 60=3x+15; Reason: substitution.

What is Substitution?

Substitution is a mathematical method to replace the numerical values of angles or variables or other mathematical operators which are involved in a mathematical relation (Equation or Inequality).

Here in the problem in step 4 we have

$m\angle{ADE}=m\angle{CDF}$

And from the given figure we have,

$m\angle{ADE}=60\\m\angle{CDF}=3x+15$

So the step 5 should be,

$60=3x+15$

And for that the reason should be Substitution as we substitute the numerical values of the equal angles in their respective positions.

Hence the correct option is (A).

Learn more about Substitution here -

https://brainly.com/question/22340165

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