Find the angle with a tangent ratio of 0.9325. a. 77° c. 13° b. 43° d. 47°

You could almost guess at this, which is handy on a test.
Tan (45) = 1
That means that the only possible answers are C and D. The tangent of any angle less than 45 degrees is less than 1. That makes B the answer. I think you were likely told to do it this way. 
B <<<< answer. If you know how to use your calculator
Tan-1(0.9325) = 42.99 which rounds to 43. <<<< answer

b. 43°

Step-by-step explanation:

Let the angle be represented by x.

Then as per the question tan x = 0.9325

Taking tan_inverse of both sides:

tan_inverse(tan x) = tan_inverse(0.9325)

In other words , x= tan_inverse (0.9325)

From table lookup of tan_inverse values , this corresponds to 42.99953766 degrees ( = 0.75 radians).

From among the given options, the closest answer is 43°.

So the angle with a tangent ratio of 0.9325 is 43°.

5 inches

Step-by-step explanation:

Perpendicular bisectors must be split directly in half, as they are *bi*sectors, meaning "*two* sections"

Perpendicular means when two angles come together to create a 90° angle

This means that angle BDA is also a 90 degree angle

Since line AC is the line segment split by the perpendicular line segment BD, then you can assume that it is the only 8 inch line, according to multiple laws of geometry. This indicates that segment BC and segment BA must be congruent.