Because HI and JK are parallel, that makes their angles congruent. So angle K equals angle I
So the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
Equilateral, because the sides are equal
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
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Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Answer:
5 x 3 x 2 = 30 feet
Step-by-step explanation:
Multiply all given lengths (has to be 3) in order to get the volume.
Answer:
Clockwise 270° around the origin: (-5,-4)
Counterclockwise 270° around the origin: (5,4)
Step-by-step explanation:
Clockwise
A(x,y) -> A'(-y,x)
Counterclockwise 270° rotation rule:
A(x,y) -> A'(y,-x)