Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
1 answer:
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Answer:
1. x = 18.4
2. x = -1.25
3. x =
4. x = 12.3
5. x = 6.4
6. z = 5.8
7. x =
8. x = -
9. x =
10. x = -9
11. z = 18
12. x = 7
13. x = -9
14. x = -36
15. x = -7
16. x = 8
17. z = -1.5
18. x = -
19. x = 16
20. x = -12
21. x =
22. x = -1.6
23. x = 1.8
24. x = -8.2
Step-by-step explanation:
1. x - 3.5 = 14.9 (add 3.5 to each side)
x = 18.4
2. x + 2.25 = 1 (subtract 2.25 from each side)
x = -1.25
3. - = x -
(add
to each side)
-
= x (multiply
by
and
by
to get a common denominator)
-
= x
= x
4. x - 2.8 = 9.5 (add 2.8 to each side)
x = 12.3
5. x - 8.5 = -2.1 (add 8.5 to each side)
x = 6.4
6. z - 9.4 = -3.6 (add 9.4 to each side)
z = 5.8
7. x + =
(subtract
from each side)
x = -
(multiply
by
to get a common denominator)
x = -
x =
8. - + x = -
(add
to each side)
x = -
(multiply
by
to get a common denominator)
x = -
x = - = -
9. x - =
(add
to each side)
x = +
(multiply
by
to get a common denominator)
x = +
x = =
=
10. x + 6 = -3 (subtract 6 from each side)
x = -9
11. z - 7 = 11 (add 7 to each side)
z = 18
12. -1 = x - 8 (add 8 to each side)
7 = x
13. -4x = 36 (divide each side by -4)
x = -9
14. - = 12 (multiply each side by -3)
x = -36
15. 63 = -9x (divide each side by -9)
-7 = x
16. 6.4 = 0.8x (divide each side by 0.8)
8 = x
17. -2.8z = 4.2 (divide each side by -2.8)
z = -1.5
18. -x = 5 (divide each side by -
)
x = ÷ -
x = (times) -
x = -
19. x = 8 (divide each side by
)
x = 16
20. -x = 9 (divide each side by -
)
x = -12
21. -x = -
(divide each side by -
)
x = - ÷ -
x = - (times) -
x = =
=
22. 1.6x = -3.2 (divide each side by 1.6)
x = -1.6
23. - = -
x (divide each side by -
)
1.8 = x
24. -2.5x = 20.5 (divide each side by -2.5)
x = -8.2
