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17 votes
17 votes
35 5th 3230 [] m (3x – 35) Which value of x will show that line m is parallel to line r? (77-115) 24 33 20 25 Zoom in Double Jeop. 3:23

User SteveS
by
2.5k points

1 Answer

28 votes
28 votes

Claudia, let's recall that this a case of Alternate interior angles and they are equal.

Therefore:

7x - 115 = 3x - 35

Like terms:

7x - 3x = -35 + 115

4x = 80

Dividing by 4 at both sides:

4x/4 = 80/4

x = 20

Let's prove x = 20 is correct:

7 * 20 - 115 = 3 * 20 - 35

140 - 115 = 60 * 35

25 = 25

User Maurice Flanagan
by
2.4k points
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