FIND THE VALUE OF X. THE POLYGONS ARE SIMILAR, BUT NOT DRAWN TO SCALE
FIRST POLYGON:
2x-4
9
SECOND POLYGON:
6
3
you should get x=11
please answer
Actually, the value of x is not 11.
Since the polygons are similar, we can set up a proportion between corresponding sides:
(2x-4)/6 = 9/3
Now we can simplify and solve for x:
2(x-2)/6 = 3
2(x-2) = 18
x-2 = 9
x = 11
Therefore, the value of x is actually 11. Well done!
To find the value of x, we need to set up a proportion since the polygons are similar.
The corresponding sides of similar polygons are in the same ratio.
Setting up the proportion with the given information, we have:
(2x - 4) / 9 = 6 / 3
Now, cross multiply the fractions:
3 * (2x - 4) = 6 * 9
Simplify the equation:
6x - 12 = 54
Add 12 to both sides of the equation:
6x = 54 + 12
Combine like terms:
6x = 66
Finally, divide both sides of the equation by 6 to solve for x:
x = 66 / 6
Simplifying, we find:
x = 11
Therefore, the value of x is 11.
To find the value of x, we need to set up a proportion based on the corresponding sides of the two similar polygons.
Let's set up the proportion using the corresponding sides:
(2x - 4) / 6 = 9 / 3
To solve for x, we can cross multiply:
3(2x - 4) = 6(9)
6x - 12 = 54
Next, let's solve for x by isolating the variable:
6x = 54 + 12
6x = 66
Finally, divide both sides of the equation by 6:
x = 66 / 6
x = 11
Therefore, the value of x is 11.