Triangle inequality
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side.
Let's analyze each group of side lengths:
• 7,6,10
Note that:
7+6 > 10
7+10 > 6
6+10 > 7
Since all the conditions are met, this group can create a triangle
• Now for 4,2,7
Testing each sum:
4+2 > 7
This inequality is false since 6 is not greater than 7
Thus, this group cannot create a triangle
• Now for 3,4,5
Testing each sum:
3 + 4 > 5
3 + 5 > 4
4 + 5 > 3
Since all the conditions are met, this group can create a triangle
• Finally, for 3,3,3
Testing each sum:
3 + 3 > 3
This happens three times. They form in fact an equilateral triangle
Thus, the only group that cannot create a triangle is 4,2,7
Answer: $700
Step-by-step explanation:
First, convert the rate into a decimal
r = R/100 = 3.5%/100 = 0.035 per year,
then, solving our equation
I = 4000 × 0.035 × 5 = 700
I = $ 700.00
I found it!!!!!!!!!!!!!!!!
I’m pretty sure c is the right answer
Answer:
d
Step-by-step explanation:
5x -2
Answer choices:
a. 2-5x
b. 3-5 +2x
c. 5x-2x
d. 2x-2+3x
a.
2-5x can be rewritten as -5x+2, which is not the same as 5x-2
b. 3-5 + 2x can be rewritten as -2 + 2x or 2x-2 which is not equivalent to 5x-2
c. 5x-2x is 3x
3x doesn't equal 5x-2
d. 2x+3x-2 = 5x-2
This expression is equivalent to 5x-2
