Question

Find x so that a is parallel to b. state the converse used​

Answer 1

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

Step 1: Subtract 11 from both sides.

9x = 63

Step 2: Divide both sides by 9.

x = 7

To make sure, let's substitute 7 for x in the earlier equation.

9(7) + 11 = 74

Step 3: Multiply 9 by 7 to get 63.

63 + 11 = 74

Step 4: Add 11 to 63 to get 74.

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."