**Answer:**

39

**Step-by-step explanation:**

12+20+22+22+23=99

new mean=23

23*6=138

138-99=39

**Answer:**

**Step-by-step explanation:**

Simplify

6 + -3x = 5x + -10x + 8

terms:

6 + -3x = 8 + 5x + -10x

Combining like terms: 5x + -10x = -5x

6 + -3x = 8 + -5x

Solving

6 + -3x = 8 + -5x

**Move all terms containing x to the left, all other terms to the right. (Remember)**

Add '5x' to each side of the equation.

6 + -3x + 5x = 8 + -5x + 5x

Combine the like terms -3x + 5x = 2x

6 + 2x = 8 + -5x + 5x

Combine the like terms again -5x + 5x = 0

6 + 2x = 8 + 0

6 + 2x = 8

Then '-6' to each side of the equation.

6 + -6 + 2x = 8 + -6

Combine the like terms: 6 + -6 = 0

0 + 2x = 8 + -6

2x = 8 + -6

Combine the like terms: 8 + -6 = 2

2x = 2

Then divide each side by '2'.

x = 1

Simplifying

x = 1

Answer: 10.25

Step-by-step explanation: add 10.25 4 times and see what you get

**Answer:**

n = 5, 6, 7

**Step-by-step explanation:**

Change both fractions into fractions with denominator 16 ( LCM of 4 and 2 )

and , that is

and

The fractions between with denominator of 16 are

, ,

with values of n = 5, 6, 7

**Answer:**

W = 13.33

X = 13.10

**Step-by-step explanation:**

You use Trig

S = O/H. C = A/H. T = O/A

For W we have to find Adjacent using Opposite, so we're going to use Tangent

Now we have Tan = O/A and rearrange this to find Adjacent

Tan = O/A --> ATan = O --> A = O/Tan

then we plug in A = 12/Tan(42°) which gives us 13.3273.... I usually round up to the 2nd decimal, so 13.33

To find X we do the same thing with a little bit of additional work

Since we already did the work for the last one, we can just skip a few of those steps

A = 12/Tan(27°) which gives us 26.4322..... or 26.43

But that gives us the whole bottom bit, which is X+W, so just subtract the W

26.43 - 13.33 = 13.10

Sorry if I'm bad at simplifying my wording

I hope this is correct, my math seems right, but the picture is not to scale