9x + 4 ≤ 58
=> 9x ≤ 58 - 4
=> 9x ≤ 54
=> x ≤ 54/9
=> x ≤ 6
______________
1/6x − 2 > 3
=> 1/6x > 3 + 2
=> 1/6x > 5
=> x > 5×6
=> x > 30
A) 1/6
B) 5/6
C) 1
D) 20
Explanation:
A) There is one 6 on a 6-sided die, out of 6 numbers.
B) There are 5 numbers that are not 6 on a 6 sided die, out of 6 numbers.
C) P( 6 or ~6) = P(6) + P(~6) = 1/6 + 5/6 = 6/6 = 1
D) 1/6(120) = 120/6 = 20
Answer:
There are infinite number of triangles that could be achieved with those angles.
To picture this, we only have to imagine a triangle that is either smaller or bigger than the one at hand.
Tracing a series of paralell lines (which guarantee that the angles are being kept), we can draw triangles for infinite values of x,y and z.
quadratic equations can be soled by 3 methods
factorization
completing square
quadratic formula
but factorization is the simplest