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Applying the definition of similar polygons, the value of x is:
6. x = 6
7. x = 7
8. x = 12.3
9. x = 8
If any two polygons are similar to each other, therefore, their corresponding side lengths will be proportional.
Using this knowledge, we can find x in the following pairs of similar polygons as shown below:
6. 5x - 2 / 42 = 4x + 2 / 39
42(4x + 2) = 39(5x - 2)
168x + 84 = 195x - 78
168x - 195x = -84 - 78
-27x = -162
x = 6
7. 4x + 4 / 48 = 7x - 9 / 60
60(4x + 4) = 48(7x - 9)
240x + 240 = 336x - 432
240x - 336x = -240 - 432
-96x = -672
x = 7
8. 2x + 2 / 3x - 7 = 40/45
2x + 2 / 3x - 7 = 8/9
8(3x - 7) = 9(2x + 2)
24x - 56 = 18x + 18
24x - 18x = 56 + 18
6x = 74
x = 12.3
9. 6x + 3 / 17 = 8x - 1 / 21
Cross multiply:
21(6x + 3) = 17(8x - 1)
126x + 63 = 136x - 17
126x - 136x = -63 - 17
-10x = -80
x = 8
Learn more about similar polygons on:
https://brainly.com/question/2264759
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