For each problem, use the inscribed angle theorem.
19.

20.

21.

LN is a diameter, so arc LN has measure 180º, and so

Answer:
x is 2.88 which can be rounded up to 2.9
Step-by-step explanation:
Subtract 2/3x from 5x.
Add 1/2 to 12.
Simplify and put into calculator (y=) to double check.
1. move 78.2 over to the over side. This will give you 287-78.2.
2. when you have .5x = 208.8, divide both sides by .5
3. this should give you x= 417.6
4. make sure to check your work by plugging you answer back into x.
Answer:
The least common multiple of 8 and 12 is 24
Explanation:
Find and list the multiples each number until the first common multiple is found.
This is the lowest common multiple .
Multiples of 8
8, 16, <u>24</u>, 32,40
Multiples of 12
12,<u>2</u><u>4</u>, 36,48
Therefore,
LCM of 8 and 12 is 24
Option C
The ratio for the volumes of two similar cylinders is 8 : 27
<h3><u>
Solution:</u></h3>
Let there are two cylinder of heights "h" and "H"
Also radius to be "r" and "R"

Where π = 3.14 , r is the radius and h is the height
Now the ratio of their heights and radii is 2:3 .i.e

<em><u>Ratio for the volumes of two cylinders</u></em>

Cancelling the common terms, we get

Substituting we get,



Hence, the ratio of volume of two cylinders is 8 : 27