Answer:
Inscribed angle theorem
Step-by-step explanation:
This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°, because segment LN is the diameter of the circle. Then, by the theorem:
∠LMN = (1/2)*arc LN = (1/2)*180° = 90°
Answer: A
Step-by-step explanation:
C lies below g(x) and f(x), so we need
and
.
<u>Given</u>:
The system of linear equations are
and 
We need to determine the solution to the system of equations using substitution method.
<u>Solution</u>:
The solution can be determined using the substitution method.
Let us substitute
in the equation 
Thus, we have;




Thus, the value of y is -17.
Substituting
in the equation
, we get;


Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)
For direct variation y varies directly with x, then we use equation y = kx
Where k is the constant of proportionality
Given: Y equals 2 when X equals 3
We plug in 3 for x and 2 for y and solve for k
y = kx
2 = k(3)
Divide both sides by 3

Now we plug in 2/3 for k

Given x=-0.5 and find out y

y=-0.33
the value of y is -0.33 when x=-0.5
Answer:
Step-by-step explanation: