In circle C shown below, a tangent has been drawn at point A. If m CBA   28 then explain why the measure of DAB must equal 62.

The solution is shown below

Explanation:

From the image attached:

Line BC and line AC are the radii of the circle, therefore BC = AC.

Since BC = AC, the triangle ABC is an isosceles triangle with m∠CBA = m∠CAB = 28°

Also line ED is a tangent to circle C. From the circle theorems, a tangent to a circle is at right angle to the circle radius at point of contact. Since AC is a radii, ∠EAC = 90°

Therefore:

∠DAB + ∠EAC + m∠CAB = 180° (sum of angles on a straight line)

∠DAB = 180° - ∠EAC - m∠CAB

∠DAB = 180 - 90 - 28 = 62

∠DAB = 62°

since there isn't any suggested answers i will give you the reason and hopefully you can figure it

south africa, or rather all of africa, has not been in the location in which it is nowadays throughout the geological past. after the super-continent pangaea started to break apart, gondwanaland, in which was africa, moved further south, and parts of it came to be very close to the south pole. because the climate in this part of the world is very cold due to the very dispersed sun rays in there, what is now south africa, started to freeze, and the conditions were right for the formation of glaciers. the glaciers existed up until the period when gondwanaland started to break apart and what is now africa started to move towards north, sp it warmed up and the glaciers melted.

which elements do geologists measure to determine the age of an organism’s remains? check all that apply.

carbon-14

nitrogen

carbon-12