Answer:
A triangle cannot have side measurements of 1, 4 and 5.
As the sum of two sides i.e. '1+4' of a triangle is not greater than the measure of the third side i.e. '5'.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
For example, a triangle ΔABC must follow the three conditions which are as follows:
For example, a triangle ΔABC with side lengths:
A = 1
B = 4
C = 5
- A + B > C → 1 + 4 > 5 (FALSE)
- B + C > A → 4 + 5 > 1 (TRUE)
- A + C > B → 1 + 5 > 4 (TRUE)
As the condition i.e. A + B > C → 1 + 4 > 5 is not satisfied, as 1 + 4 > 5 is False.
Therefore, a triangle cannot have side measurements of 1, 4 and 5.
I'd start by finding the x and y intercepts. If x = 0, then y = 18/4 so your coordinate would be (0, 18/4). When y = 0, then x = 18/5 so your coordinate would be (18/5, 0). Now, if you solve it for y and pick a value for x, like 1 for example, you could find you y very easily.

. Choosing x = 1, you would get y = 5/4 + 18/4 and y = 23/4. So your 3 coordinates could be (0, 18/4), (18/5, 0), and (1, 23/4)
Answer:
Length = 11.25 and width = 3.75 inches.
Step-by-step explanation:
You must mean that the length is 3 times its width.
If the the width is x then the length is 3x inches.
Perimeter = 2*length + 2*width.
2(3x) + 2x = 30
6x + 2x = 30
8x = 30
x = 3.75.
3x = 11.25.
Carlos: |-5.3|= 5.3 Opposite of that= -5.3
Jason: -(-5.3)= 5.3 Then |5.3|=5.3
So Jason's final value is greater because it's positive while Carlos' final value is negative.
The sum (addition) of one-half (

) and four (4) times (multiplication) a number (n) is equal to (=) five-sixths (

) subtracted from (subtraction) five (5) times (multiplication) the same number (n).

+ 4n = 5n - <span>

Multiply both sides by 6
</span>

+ 4n = 5n - 5 Simplify the fraction
3 + 4n = 5n - 5 Subtract 5n from both sides
3 - n = -5 Subtract 3 from both sides
-n = -8 Divide both sides by -1
n = 8