Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle
so
In this problem
BC and CD are tangents to the circle
BC=CD ----> by the Two Tangent Theorem
That means
Triangle ABC and Triangle ADC are congruent
so

Find the measure of angle BAC
In the right triangle ABC

substitute given value


Find the measure of angle BAD


Find the measure of minor arc BD
we know that
-----> by central angle
therefore

Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
_____
<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
Answer:
D) -5x
Step-by-step explanation:
-5x is a like term to 8x because the alphabet at the back of the coefficient is x and are the same. Therefore the answer is option D