Answer:
The radius of the circle is 10.2 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
In the figure to the right, if AC=19 and BC=16, what is the radius?
A circle has center A. Points B and D are on the circle, with B on the left and D near the bottom. Point C lies outside the circle such that the line segment A C passes through point D and the line segments A B and B C form a right angle.
The radius is approximately (Round to the nearest tenth as needed.)
The picture of the question in the attached figure
we know that
In the right triangle ABC
Applying the Pythagorean Theorem

substitute the given values

solve for AB


Remember that the radius is the same that the segment AB
therefore
The radius of the circle is 10.2 units
Multiplying the linear expressions, the correct sequence is given as follows:
<h3>How are linear expressions multiplied?</h3>
They are multiplied applying the distributive property, in which all the terms are multiplied and the like terms are combined.
Hence:
5x(-3 -7x)
(5x)(-3) + (5x)(-7x)
-15x - 35x²
Hence the last option is correct.
More can be learned about the multiplication of linear expressions at brainly.com/question/14758247
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The answer is 130°
Because it is a circle, the angles have to all add up to 360°. So if you add up the two known angles, and subtract that sum from 360, you will get 130°