Answer:
9 units
Step-by-step explanation:
By the midsegment theorem,

Since the ratio
then
and

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.
Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

Consider right triangle KLE. By the Pythagorean theorem,

Answer:
N*B*x/100
Step-by-step explanation:
To determine an equation of the total number of dollars, it is necessary to review the variables that influence
The most important, N that would be the number of shares of A.
The other variable is B, since it would be the price of the shares that were purchased.
Lastly, we have x, since he originally had was A's shares, therefore his increase occurred in A's shares, that is, x.
Therefore, the equation would be:
N * B * x / 100
It is divided by 100 since x is a percentage.
Answer:
y + 4 = (-1/6)(x - 6)
Step-by-step explanation:
Apply the point-slope formula here: y - k = m(x - h) becomes
y + 4 = (-1/6)(x - 6)
Sum of complementary angles = 90
so
5x + 35 = 90
5x = 90 -35
5x = 55
x = 11
answer is A.
x = 11
Answer:
Area of the sector = 47.52π
Step-by-step explanation:
Area of the sector of the circle;
A = ∅ / 360 * πr²
We know that;
∅ = 120
r = 12
So now we can substitute;
A = (120 / 360) * π(12)²
A = 0.33 * 144π
A = 47.52π
Hope this helps!