In the figure above, AB is tangent to the circle with center O
at point A.
if AOB has a measure of 68 degrees, what is the measure, in degrees, of ABO?

Given:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

Measure of ∠ABO:

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;

Substituting the values, we get;

Adding the values, we have;

Subtracting both sides by 158, we get;

Thus, the measure of ∠ABO is 22°

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

2 over 5 and 4 over 15

don’t know last one sorry

step-by-step explanation: