The figure below is circle e. line cf is tangent at point c.

find the measure of angle ecf.
find the measure of angle akb.
find the measure of angle acf.

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

∠ ECF = 90°

∠AKB = 77.5°

∠ACF = 75°

Step-by-step explanation:

The given figure is a circle E.

Line CF is tangent at point C.

(1) To find measures of angle ECF

Since line FC is tangent at point C and radius ECis always perpendicular to the tengent.

So ∠ ECF = 90°

(2) Measure of angle AKB

By theorem of angle formed by two interesting chords.

∠ AKB = (arc AB + arc CD)

= (50 + 105) =

∠AKB = 77.5°

(3) Measure of angle ACF

Since tangent chord angle = (intercepted arc)

m (∠ACF) = (m arc AB + m arc BC)

=

∠ACF = 75°

answer: there are 453.592 grams in a pound.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.