how do I find a value of x that will make each proportion true??
12 = x
___ ___
16 20
and
8 = 14
__ ___
12 x
Cross multiply to find x.
Here's the first one; perhaps you can try the second one on your own.
12/16 = x/20
16x = 240
Divide both sides by 16 to get x by itself and solve the problem.
x = 15
Therefore: 12/16 = 15/20
I hope this will help.
To find a value of x that will make each proportion true, you need to cross multiply and then solve the resulting equation for x.
Let's take the first proportion as an example:
12/16 = x/20
To cross multiply, you multiply the numerator of the first fraction with the denominator of the second fraction, and vice versa. This will give you:
12 * 20 = 16 * x
Simplifying the equation:
240 = 16x
To solve for x, divide both sides of the equation by 16:
240/16 = x
This gives you:
x = 15
So, in this case, the value of x that makes the proportion true is 15. You can check this by substituting 15 in the equation:
12/16 = 15/20
Simplifying the fractions:
3/4 = 3/4
The proportion is indeed true.
You can follow the same approach for the second proportion:
8/12 = 14/x
Cross multiplying:
8 * x = 12 * 14
Simplifying:
8x = 168
To solve for x, divide both sides by 8:
168/8 = x
This gives you:
x = 21
So, in the second proportion, the value of x that makes it true is 21. You can verify this by substituting 21 into the equation:
8/12 = 14/21
Simplifying:
2/3 = 2/3
The proportion is true.
Remember to cross multiply and then solve the resulting equation to find the value of x that makes each proportion true.