Answer:
x=9
Step-by-step explanation:
Use the intersecting chord theorem:
RE*ET = UE*ES
Substitute values
21 (2x+2) = 30 (x+5)
Expand:
42x+42 = 30x + 150
transpose and simplify
42x-30x = 150 - 42
12x = 108
x = 9
Answer:
3, 5, 7
Step-by-step explanation:
As per triangle inequality theorem:
- <em>Any side of a triangle must be shorter than the other two sides added together</em>
Assume the sides are equal to 3 smallest odd numbers: 1,3 and 5
- Then 1+3< 5 and it is against the above rule, so this is not correct
The next triple is: 3, 5 and 7
- Then 3+ 5 > 7 and it is correct
So 3, 5, 7 is the combination of smallest odd numbers to make sides of a triangle
