Given:
Two sides of a triangle are 9 and 5.
To find:
The range of possible measures for the third side.
Solution:
In a triangle, the sum of smaller sides must be greater than the largest side.
Let x be the measure of third side.
Case 1: When x is the largest side, then

...(i)
Case 2: When 9 is the largest side, then


...(ii)
Using (i) and (ii), we get

Therefore, the range of possible measures for the third side is
.
Answer:
11/25
Step-by-step explanation:
it would be 33/75 but 11/25 is its simplified version
Answer: 2 1/8 pounds of apples were left to give his grandmother.
Step-by-step explanation:
He picked a total of 8 1/4 pounds. Converting 8 1/4 pounds to improper fraction, it becomes 33/4 pounds.
He took 3 3/4 pounds to his aunt. Converting 3 3/4 pounds to improper fraction, it becomes 15/4 pounds.
He also took 2 3/8 to his mother. Converting 2 3/8 pounds to improper fraction, it becomes 19/8 pounds.
The total number of apples that he gave to his aunt and mother is
15/4 + 19/8 = 49/8 pounds
The number of pounds of apples left to give his grandmother is
33/4 - 49/8 = 17/8 = 2 1/8 pounds
Answer:
2 Step-by-step explanation:
in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2