Answer:
∠DCF is 100°
Step-by-step explanation:
Given tangent AD and secant FB intersect at point C, the point of tangency. We have to find the measure of ∠DCF.
As, ∠COF=160°
In ΔCOF, by Angle Sum Property of triangle
∠OCF+∠COF+∠OFC=180°
⇒ ∠OCF+160°+∠OCF=180° (∵OC=OF)
⇒ 2∠OCF=20° ⇒ ∠OCF=10°
Now, we have to find the ∠DCF
∠DCF=∠DCO+OCF
As radius from the center of circle to the point of tangency is perpendicular to the tangent line.
∠DCF=∠DCO+OCF
=90°+10°=100°
Answer:

Step-by-step explanation:
<u>a) (x2 - 4)/(x + 2)</u>
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
So,

Using formula, 

<u>b) (4x2 - 1) / (2x + 1)</u>
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.

Using formula, 

Hence,

They want you to find the composite function and they evaluate it at a give value for x...first the composite function...
f(g(x))=(x-1.5)^2+3(x-1.5)+6
f(g(x))=x^2-3x+2.25+3x-4.5+6
f(g(x))=x^2+3.75, this is the completed composition function...now:
f(g(1)=1+3.75=4.75
Answer:
3 is the answer
Step-by-step explanation:
-3^3 will give u - 27