Answer:
(3) and
(4)
Step-by-step explanation:
Question 3
Required
Solve for x and y
We have:
--- angle on a straight line
Collect like terms
Solve for x
Also:
---- opposite angles
So, we have:
Divide by 2
Question 4:
Required
Solve for x
We have:
---- angle at right-angled
Collect like terms
Divide by 16
Answer:
<h2>Side YZ is 8 units long.</h2>Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that , which means
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means and
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.
Where is the hypothenuse and
,
are legs of the triangle.
Replacing all given values, we have
However, by sum of segments, we have
, where
and
Therefore, side YZ is 8 units long.
