Step-by-step explanation:
I don't know if this is the right way to so it, but I would do it like this
since a triangle has 180 degrees, the angles all have to add up to 180
So 180 = a + b + c
we already know a, its 95
So 180 = 95 + b + c
now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too
180 = 95 + (4x-15) + (4x-15)
now subtract 95 from both sides
85 = (4x-15) + (4x-15)
add the xs and numbers together
85 = 8x - 30
now add the 30 to both sides
115 = 8x
divide by 8
your x is 14 3/8 or 14.375 or 115/8
that's not your angle, that's your x
The answer is 37.524 my friend
The difference between consecutive integers is 1.
Let x = smaller integer.
Then x + 1 is the next greater consecutive integer.
x(x + 1) = 132
x^2 + x - 132 = 0
(x + 12)(x - 11) = 0
x + 12 = 0 or x + 11 = 0
x = -12 or x = -11
Since x is the smaller of the two integers, the answers are:
-12, -11
11, 12
There are two pairs of such integers.
6a
So you would write the factored equation as 6a(b+2)