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Given: mADE = 60° and mCDF = (3x + 15)° Prove: x = 15 What is the missing statement and the missing reason in step 5? Statement: 60 = 3x + 15; Reason: substitution Statement: x = 15; Reason: subtraction property of equality Statement: 60 = 3x + 15; Reason: transitive property Statement: x = 15; Reason: subtraction and division properties of equality

Respuesta :

Answer:

Statement: x =15.

Reason: Subtraction and Division properties of equality.

Explanation:

Given: [tex] m\angle ADE = 60^{\circ}[/tex] and  [tex] m\angle CDF = (3x+15)^{\circ}[/tex]

⇒  [tex] m\angle ADE = m\angle CDF [/tex]

⇒ 60= 3x+15 or

Subtraction property of equality: Subtract the same number from both sides of an equation.

Subtract 15 from both sides of an equation;

[tex]60-15=3x+15-15[/tex]  or

45=3x

Division property of equality: Divide the same number from both sides of an equation;

Divide by 3 from both sides of an equation, we have

[tex]\frac{45}{3} =\frac{3x}{3}[/tex]

Simplify:

x=15        Hence proved!

Answer:

The answer is:    A) Statement: 60 = 3x + 15; Reason: substitution

Step-by-step explanation:

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