Answer:
m<CDE = 50°
Step-by-step explanation:
Recall: when an angle is formed outside a circle by two tangents, the angle formed = ½(the difference between the measures of the intercepted arcs), based on the outside angles theorem.
This implies that:
m<CDE = ½(Arc CBE - Arc CE)
Arc CE = 130°
Arc CBE = 360° - 130° = 230°
Plug in the values
m<CDE = ½(230 - 130)
m<CDE = ½(100)
m<CDE = 50°
15²-9²= x² use Pythagoras' theorum and square the two smaller sides to get the square of the hypotenuse (the diagonal) then rearrange this to get the above calculation
Answer:
if only.....
Step-by-step explanation:
Answer:
<h2>
h(x) = 4x+48</h2>
Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function