Can someone please help me with this problem? Please show the work one how to do it. 20 POINTS
1 answer:
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We can find the slope of this line by using the slope formula:
We'll use the points (-6, 0) and (0, -3)
(-3 - 0) / (0 + 6) = -3/6 = -0.5
The slope of the line is A, -1/2
For this case we have to, by definition:
This means that the tangent of angle B will be equal to the leg opposite the angle on the leg adjacent to the same angle.
Then, clearing to have:
Rounding out the value of a we have:
Answer:
Option C
<u>Given</u>:
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.
<u>Measure of ∠ABO:</u>
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°