Answer:
The angles are 54 2/3 degrees and 115 1/3 degrees
Step-by-step explanation:
make an equation for the angles x being one angle and y being the other
16+ 2x =y
Supplementary angles add to 180
x + y = 180
Fill in y with the first equation
x + 16 +2x =180
simplify
3x +16 =180
subtract 16 from both sides
3x = 164
divide both sides by 3
x = 54 2/3
Insert the value of x into the first equation then simplify
16 + 2(54 2/3) =y
16 + 109 1/3 =y
115 1/3 =y
Answer:
adjacent
Step-by-step explanation:
It is the leg that touches the 18 degree angle
Answer:
1/9 quart in each glass
Step-by-step explanation:
2/3) / 6
(2/3) * (1/6) = 2/18 = 1/9 quart in each glass
Answer:
The midpoint is 
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
we have
substitute
Factor the coefficients:
-12=(-1)(3)(2^2)
-9=(-1)(3^2)
3=3
The greatest common factor (GCF) is 3
Next we find the GCF for the variable x.
x^4
x^3
x^2
The GCF is x^2.
Next GCF for variable y.
y
y^2
y^3
the GCF is y
Therefore the GCF is 3x^2y
To factor this out, we need to divide each term by the GCF,
(3x^2y)(−12x4y/(3x^2y) − 9x3y2/(3x^2y) + 3x2y3/(3x^2y) )
=(3x^2y)(-4x^2-3xy+y^2)
if we wish, we can factor further:
(3x^2y)(y-4x)(x+y)
