The sum of the sides of a triangle is equal to 180º.
The three angles will be: 3x,4x and 5x.
we can suggest the following equation:
3x+4x+5x=180
12x=180
x=180/12
x=15
The angles would be:
3x=3(15)=45
4x=4(15)=60
5x=5(15)=75
Answer: the highest angle would measure 75º.
If x is the third side, then x is between 5-3 = 2 and 5+3 = 8. The value of x cannot be equal to 2, or it can't be equal to 8 either.
So 2 < x < 8. The following answer choices fit this inequality:
choice B) 6 cm
choice C) 4 cm
The other answer choices are outside of the interval 2 < x < 8
So that's why the answers are choice B and choice C.
The answer should be 9sqrt2 because the equation for finding the legs on a 45-45-90 triangle is hypotenuse/sqrt2.
a f(a) is the function f(x) where x is replaced by a.
So we have
(3x^2 + x + 3 - (3a^2 + a + 3)) / ( x - a)
= (3x^2 - 3a^2 + x - a) / (x = a) Answer
b (3(x + h)^2 + x + h + 3 - (3x^2 + x + 3)) / h
= (3x^2 + 6xh + 3h^2 + x + h - 3x^2 - x - 3) ) / h
= (6xh + h + 3 h^2) / h
= 6x + 3h + 1 Answer