we know that
<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
Let
a,b,c------> the length sides of a triangle
The theorem states that three conditions must be met
<u>case 1)</u>
<u>case 2)</u>
<u>case3)</u>
therefore
<u>the answer is the option</u>
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer: 
Step-by-step explanation:
Given: The rent of waterslide per day = $500
Let x be the a charge per hour of use.
The number of hours bounce house was used = 5 hours
Since, the total charge was $800.
Therefore, the equation can be used to find the charge x, in dollars, per hour of use is given by :-
Fixed charge+5 times x=Total charge
-4 —> -4 + -6 = -10, so -4 is greater as it is less negative
Answer:
0.75x
Step-by-step explanation:
Given that :
Discount rate= 25%
Original price = x
Discounted price of jacket :
(100 - discount rate)% * original price
(100 - 25)% * x
75% * x
0.75x
Answer:
-6(x-2)=-7(x-3) = False x = 9
Step-by-step explanation:
Solve for x:
-6 (x - 2) = -7 (x - 3)
Expand out terms of the left hand side:
12 - 6 x = -7 (x - 3)
Expand out terms of the right hand side:
12 - 6 x = 21 - 7 x
Add 7 x to both sides:
7 x - 6 x + 12 = (7 x - 7 x) + 21
7 x - 7 x = 0:
7 x - 6 x + 12 = 21
7 x - 6 x = x:
x + 12 = 21
Subtract 12 from both sides:
x + (12 - 12) = 21 - 12
12 - 12 = 0:
x = 21 - 12
21 - 12 = 9:
Answer: x = 9
