Mathematics

Carl Sanford

29 June, 12:12

Given: m ZADE = 60° and m2CDF = (3x + 15)

Prove: x = 15

What is the missing statement and the missing reason in

step 5?

Statements

1. MZADE - 60°

m2CDF - (3x+15)

2. ZADE and 2CDF are vert. Es

3. ZADE = 2CDF

4. MZADE = m2CDF

5.?

6. 45 - 3x

7. 15-X

Reasons

1. given

2. def. of vert. Es

3. vert 25

4. def. of a

5.?

6. subtr. prop

| 7. div. prop

(3x + 15)

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