Answer:
33. The sheep pen is 16 square yards
Step-by-step explanation:
You can divide the rhombus inside into two triangles. Each triangle has a base of 4 yards and height 4 yards.
Area of triangle: A = 0.5*b*h = 0.5(4)(4) = 8
Since there are 2, then 2*8 = 16 square yards.
Since y=3x+15
sub 3x+15 for y in other equation
2x+3(3x+15)=1
2x+9x+45=1
minus 45
11x=-44
divide 11
x=-4
sub
y=3x+15
y=3(-4)+15
y=-12+15
y=3
(-4,3)
C is the answer. By only looking at the domain (the stuff on the right in the functions), you can see that the first equation has a hole at x=2, meaning it does not have a value here at x=2. When x<2, there are values for the 1st function. When x>2, there are values for the second function, as well as when x=2
-6 + 7 = 1 and -6*7 = -42
So f(x) = (x + 7)(x - 6)
Answer:
b. The supplements of congruent angles are congruent
Explanation:
Note that
is a supplement of
and
is a supplement of
.
Since
,
because
the supplement of the congruent angles are congruent.
