Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
Part 1) Find the measure of angle ECF
we know that
CF is tangent at point C
so
the radius EC is perpendicular to the tangent CF
therefore

Part 2) Find the measure of angle AKB
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

substitute the values

Part 3) Find the measure of angle ACF
we know that
The inscribed angle is half that of the arc it comprises

substitute the values

Answer:
<h2>A. 4t² - 32t + 64</h2>
Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
Answer: B or the second choice
Step-by-step explanation:
well for triangle DEF since E is on the top left, it should be on the bottom right. While F was on the bottom right, it would be on the top left where E originally was. The angles inside has the same situation with E and F, however D stills stays at the top because when reflected like a mirror, D stays at the top. Sorry it’s long and hope this helps!
PS u also took a pic of the correct answer lol XD
Answer:
D. -3 + 6
Step-by-step explanation:
Starting from zero, we move 3 units to the left. This gives -3.
We now change direction and move to the right 6 units. This gives +6.
Putting the two movements together gives

The correct choice is D.
Note that moving to the left is considered to be negative while moving to the right is considered positive.