Answer:
see the explanation
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
In this problem
If the perimeter of triangle is equal to 36 cm
The longest side can't be equal to 18 cm
The student is incorrect
Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm
and
Applying the triangle inequality theorem
Let
c -----> the longest side
a and b the other two sides
we have that
if c=18 cm
a+b > c
a+b > 18 cm
therefore
If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value.
Answer:
Factor the numerator and denominator and cancel the common factors.
x/4+3/2 or 32/4 or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer
Step-by-step explanation:
Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
Hello! The question simplified is 4x + 14. This is because when you have a negative symbol in front of the numbers you need to distribute, you change the numbers inside into the opposites, and then multiply by -1. When you do this, you get 3 + 4x + 5 + 6. When you combine like terms, you get 4x + 14. The answer is B: 4x + 14.
