5.Solve the proportion using cross products. (1 point)
18/20 = k/110
a.99
b.122
c.3.3
d.2.9
I'm confused please give me the answer and how you found it so I can do it on my own next time
18(110)/20 = K = 99
To solve the proportion using cross products, we need to set up an equation where the product of the extremes (the outer terms) equals the product of the means (the inner terms). Let's solve this problem step-by-step:
Step 1: Set up the proportion equation.
18/20 = k/110
Step 2: Cross-multiply.
18 * 110 = 20 * k
Step 3: Simplify.
1980 = 20k
Step 4: Divide both sides by 20 to isolate the variable.
1980/20 = k
Step 5: Solve.
k = 99
Therefore, the answer is k = 99.
In this case, the correct answer is option a. 99. By following these steps, you can solve similar proportion problems in the future.