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sveta [45]
2 years ago
14

Need help with question 15! please!!! This is due 02/2/22 which is tmr please!

Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Answer: x = 6

Step-by-step explanation:

Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.

Next, we set up the proportion as follows:

\frac{21}{x+3} =\frac{7}{3}

Then, you cross multiply to get the equation:

63=7x+21

After solving down algebraically, you get the value of x to be 6.

I hope this helps!

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