The values of x are x = -0.77 and x = 3.27
<h3>How to determine the value of x?</h3>
To calculate the value of x. we start by using the following equivalent ratio
2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5
Evaluate the like terms
2x : (5 + x) = x + 0.5 : x + 1.5
Express the ratio as a fraction
2x/5 + x = x + 0.5/x + 1.5
Cross multiply
2x(x + 1.5) = (5 + x)(x + 0.5)
Open the brackets
2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x
Evaluate the like terms
x^2 - 2.5x - 2.5 = 0
Using a graphing calculator, we have
x = -0.77 and x = 3.27
Hence, the values of x are x = -0.77 and x = 3.27
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According to the rule of similar polygons the ratio of corresponding sides of two polygons will be the same. So in this case the ratio of original length and shadow of a stick and ratio of length of flagpole and its shadow will be the same.
Length of Stick = 5 feet
Shadow of Stick = 8 feet
Shadow of flagpole = 32 feet
Length of flagpole = x = ?
Using rule of similar polygon we can write,

Therefore, the length of flagpole will be 20 feet.
Answer:
The salesperson keeps $922/The company keeps $5278
Step-by-step explanation:
16% of $6200
.16x6200= 992
The salesperson keeps $922
6200-922= 5278
The company keeps $5278
Three hundred fourteen thousand, two hundred seven. hope this helps