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eduard
3 years ago
8

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

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

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."

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