Answer:
x = 7
If a is parallel to b, then 9(7) + 11 = 74.
Step-by-step explanation:
We don't know if the lines are parallel, so we need to see what x is in 9x + 11 = 74, then substitute that value for x in the equation. If both sides are true, the two lines are parallel.
9x + 11 = 74
<em>Step 1: Subtract 11 from both sides.</em>
9x = 63
<em>Step 2: Divide both sides by 9.</em>
x = 7
<em>To make sure, let's substitute 7 for x in the earlier equation.</em>
9(7) + 11 = 74
<em>Step 3: Multiply 9 by 7 to get 63.</em>
63 + 11 = 74
<em>Step 4: Add 11 to 63 to get 74.</em>
74 = 74
The two sides are equal, so a and b are parallel. The definition of a converse is the reverse of a conditional statement. As a result, the converse here is "If a is parallel to b, then 9(7) + 11 = 74."
