Answer:
x = 12.
Step-by-step explanation:
2x + 6 + 4x + 2 = 2(5x - 20) (The sum of the outer parallel sides = 2 * middle parallel line).
6x + 8 = 10x - 40
48 = 4x
x = 12.
Answer:
z =
, z = 3
Step-by-step explanation:
The absolute value function always returns a positive value.
However, the expression inside can be positive or negative, that is
5z - 8 = 7 ( add 8 to both sides )
5z = 15 ( divide both sides by 5 )
z = 3
OR
- (5z - 8) = 7
- 5z + 8 = 7 ( subtract 8 from both sides )
- 5z = - 1 ( divide both sides by - 5 )
z = 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
z = 3
left side = | 15 - 8 | = | 7 | = 7 = right side
z = 
left side = | 1 - 8 | = | - 7 | = 7 = right side
Thus z =
, z = 3 are the solutions
Answer:
2 + 3
Step-by-step explanation:
3 should be added to the tiles
The ratio of their perimeters is still 7:20. The poster is a rectangle shape. If the length of each side of a poster is proportional to the other by a certain ratio, the sum of the lengths of all sides is also proportional by the same ratio. You can suppose the lengths of four sides of poster A are 7a, 7b, 7c, 7d, so poster B has 20a, 20b, 20c, 20d. (7a+7b+7c+7d)/(20a+20b+20c+20d)=7(a+b+c+d)/20(a+b+c+d)=7/20.