Answer:
7. 
8. 
9. 
10. 
Step-by-step explanation:
7. Solve for x:

Separate variable and numbers into different sides of inequality:

Divide the inequality by 3:

8. Solve for x:

Eliminate the brackets:

Separate variable and numbers into different sides of inequality:

Divide the inequality by 10:

9. Solve for x:

Solve two inequalities
and
separately:

and

So,

10. Solve for x:

Add 1:

Divide by 3:

Answer:

Step-by-step explanation:
<em>See attachment for complete question</em>
Given



Required
Determine the length of VW
Perimeter is calculated as:

This gives:

Substitute values for VW, VY and Perimeter

Collect Like Terms


Divide through by 2

Collect Like Terms




Substitute 6 for x in 



Answer:

Step-by-step explanation:
To find the LCM of 1,2,12,30,84,165 you must first find the prime factors of 12,30,84 and 165
12| 2 30| 2 84| 2 165| 3
6 | 2 15 | 3 42| 2 55 | 5
3 | 3 5 | 5 21 | 3 11 | 11
1 1 7 | 7 1
1

Now we look for common and uncommon factors with their greatest exponent
LCM(1,2,12,30,84,165)
Common factors with their greatest exponent: 
Uncommon factors with their greatest exponent: 

Answer:
its 3.6
Step-by-step explanation:
When a line is bisected, the line is divided into equal halves.
See below for the proof of 
The given parameters are:
- <em>AC bisects CD</em>
- <em>IJ bisects CE</em>
- <em>BH bisects ED</em>
<em />
By definition of segment bisection, we have:
By definition of congruent segments, the above congruence equations become:
By segment addition postulate, we have:
Substitute
in 

Substitute
and 

Simplify

Apply division property of equality

By definition of congruent segments

Read more about proofs of congruent segments at:
brainly.com/question/11494126