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.
Answer:
$72
Step-by-step explanation:
Cost of the lunch = $60
Sales tax = 5% of $60
= 5/100 × 60
= 0.05 × 60
= $3
Tip = 15% of $60
= 15/100 × 60
= 0.15 × 60
= $9
how much in total did he pay?
Total amount paid = cost of the lunch + sales tax + tip
= $60 + $3 + $9
= $72
Latrell paid $72 in total for the lunch
Answer:
D. (x2 + 3)(x+ 2)
Step-by-step explanation:
When x3 + 2x2 + 3x + 6 is grouped, it is simplified to (x2 + 3)(x + 2).
