Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".
1. 160 2. 520 3.240 hopefully they are right
Answer:
Step-by-step explanation:
Shane spends $2,000 each week for supplies and labor to run his car detailing business. This means that his total cost of running his car detailing business is $2000
Let x represent the number of cars that he would need. If he charges $30 for each car, the total amount charged for x cars would be 30×x = $30x
Let y represent the number of trucks that he would need. If he charges $45 for each car, the total amount charged for y trucks would be 45×y = $45y
In order to make profit, the inequality would be
30x + 45y greater than 2000
Answer:
x = 2
Step-by-step explanation:
Here, we want to find the value of x
(m^5/6)(m^1/6)^7 = m^x
= (m^5/6)(m^7/6) = m^x
Using the law of indices for power multiplication
m^(5/6 + 7/6) = m^x
m^(12/6) = m^x
m^2 = m^x
we simply equate the powers in this case since the base are equal
Thus we have
x = 2
