Answer: third option.
Step-by-step explanation:
A tangent of a circle is defined as a line that touches that circle in exactly one point.
You can observe in the figure attached that:
The segment MN and the segment ST are not the tangent of the given circle, because this segments intersect it in two points.
The segment RO is the radius of the circle.
The segment PQ touches the circle in one point.
Therefore, the segment PQ is the tangent of the circle.
Step-by-step explanation:
= (1 + 5z)(-4)
= (1 + 5z) × (-4)
= 1.(-4) + 5z. (-4)
= -4 - 20z
Answer: 
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:

Then, knowing that:

You need to substitute these values into
:

Now, you can solve for "x":

Rounded to the nearest hundreth:

Answer:
15.1 to nearest tenth.
Step-by-step explanation:
The 7 is the lowest number so the mean would increase if taken away.
New mean = (8 + 12 + 13 + 15 + 18 + 19+21) / 7
= 106 / 7
= 15.14
Answer:3x < 8x - 3
Step-by-step explanation: