Check the picture below.
the triangle is an isosceles, so it has twin legs, and a base bottom.
the twin sides stem from the "vertex", and we know the vertex is 120°, and since the triangle is inscribed in a circle, because the circle is "circumscribing" it, then the base side of the triangle will be the diameter of it.
if we run a perpendicular line to the base from the vertex, we'll split the vertex in two 60° angles, as you see there, giving us a 30-60-90 triangle on each side.
so, anyhow, the rest is just a matter of using the 30-60-90 rule.
that's the diameter, and as you know, the radius is just the length of the base, or half the diameter.
Answer:
If the factory starts with 6,000 packaged light bulbs at the beginning of the day, and the factory produces 1,200 light bulbs every hour for the next 5 hours then in 5 hours there will be 6,000 light bulbs.
6,000 + (1,200 x 5) = ?
6,000 + 6,000 = ?
? = 12,000 lightbulbs
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
<span>Collinear points</span> are points that are on the same line
Answer:

Step-by-step explanation:
We can directly substitute y of the first equation to the second equation.
-2x - 1 = 3x - 16
5x = 15
x = 3
Substituting back to any of the two equations, we get y = -2(3)-1 = -7. If you check with the second equation, y = 3(3)-16 = -7 as well.
Therefore
.
Answer:
k = -9
Step-by-step explanation:
subtract 2k from both sides
_5k+8= -37
subtract 8
_5k = -45
divide by 5
_k = -9