To see if line segments may form a triangle basically one must check if the sum of two sides are greater than the third.
a + b > c
a + c > b
b + c > a
a. can form a triangle
b. can form a triangle
c. can form a triangle
d. cannot form a triangle as 14 + 21 = 35 which is not greater than 36
a = right triangle with the right angle between 16 and 30
b = acute triangle
c = obtuse triangle with teh obtuse angle between 7 and 24
Question:
For which value of x must the expression √97x be further simplified?
A. 5 B. 10 C. 15 D. 20
Answer:

Step-by-step explanation:
Given

Required
For what value of x can it be simplified
From the list of options, only (D) is correct
D. 20
Substitute 20 for x in 

Express 20 as 4 * 5

Reorder

Split




With other values of x, the given expression can not be simplified.
Hence:

Answer:
19
Step-by-step explanation:
To write an equation for the first situation, you need to determine which factors can be changed. The bus will not change since you can have multiple people in one. The ticket to the museum is per person. This will change depending on how many people there are.
450 + 15.75x
For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person. Set the equation equal to $40 per person and solve.
450 + 15.75x = 40x
450 = 24.25x
x = 18.56
Round up to 19 since you can't 0.56 of a person.
One way can be 8x(6-4+2).