truth213
truth213 truth213
  • 02-06-2021
  • Mathematics
contestada

Enter the range of values for x:
B
15
2x - 10
С
48°
A
18
[?] Enter

Enter the range of values for x B 15 2x 10 С 48 A 18 Enter class=

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jimthompson5910 jimthompson5910
  • 02-06-2021

Answer:   5 < x < 29

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

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