Answer:
Step-by-step explanation:
7(p-6)=8p-34
Distribute 7 into the parentheses on the Left Hand Side of the equation
7p-42=8p-34
get p together, so minus 7p on both sides
7p-7p-42=8p-7p-34
7p and -7p cancel out on L.H.S
-42=p-34
isolate p by adding 34 to both sides
-42+34=p-34+34
-34 and postitive 34 cancel out on the R.H.S
p=-8
Hope this helps! :)
The answer is: 5,614 square inches.
The explanation is shown below:
1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:
![SA=2[(l)(w)+(l)(h)+(h)(w)]](https://tex.z-dn.net/?f=SA%3D2%5B%28l%29%28w%29%2B%28l%29%28h%29%2B%28h%29%28w%29%5D)
Where
is the length (20 inches),
is the width (42 inches) and
is the heigth (16 inches).
2. Substitute values:
![SA1=2[(20in)(42in)+(20in)(16in)+(16in)(42in)]=3,664in^{2](https://tex.z-dn.net/?f=SA1%3D2%5B%2820in%29%2842in%29%2B%2820in%29%2816in%29%2B%2816in%29%2842in%29%5D%3D3%2C664in%5E%7B2)
3. The surface area of the other gifts can be calculated with the formula for calculate the surface area of a cube:

Where
is the side.
4. The surface area of the bigger cube is:

5. The surface area of the smaller cube is:

6. The total surface area (the combined surface area of the three gifts) is:

Answer: 
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles
and
are supplementary, which means that they add up to 180 degrees.
So, knowing that:

We can write the following expression and solve for "x":

Therefore, substituting, we get that the measures of the angles
and
are:
