First, subtract 2/3 from both sides and you get

Then multiply both sides by 6/5 and you get
Answer:
12
Step-by-step explanation:
1
2
3
4
5
6
7
8
9
10
11
12
1+2+3+4+5+6+7+8+9+10+11+12=78
Answer:
x = 3
Step-by-step explanation:
These angles are actually equal to each other
This is because when two lines intersect, the two opposite angles are the same.
Since they are the same, you can set them equal to each other
Like so:
6x - 7 = 4x - 1
Then solve:
6x - 7 = 4x - 1
6x = 4x +6
2x = 6
x = 3
Answer:
Area of the base = 
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation: 
Hence final answer is:
Area of the base = 
9514 1404 393
Answer:
132°
Step-by-step explanation:
Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.
Angle ZXQ is vertical to ∠x, so is the same measure.
Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...
∠YQX = 180° -51° -57° = 72°
This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...
∠z = 72° +60°
∠z = 132°
_____
<em>Additional comment</em>
The relations we used are ...
- vertical angles are congruent
- sum of angles in a triangle is 180°
- an exterior angle is equal to the sum of the remote interior angles