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tia_tia [17]
3 years ago
14

The rectangles below are similar in shape. How wide is the smaller rectangle?

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

\huge\boxed{x=28\ ft}

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

\dfrac{x}{42}=\dfrac{36}{54}

cross multiply

54x=(42)(36)\\\\54x=1512

divide both sides by 54

\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28

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Answer:

(f + g)(3) = 9

Step-by-step explanation:

Given:

f(x) = x² + 1

g(x) = x - 4

Required:

(f + g)(3)

SOLUTION:

✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:

f(3) = (3)² + 1 = 9 + 1

f(3) = 10

✔️Find g(3) by substituting x = 3 into g(x) = x - 4:

g(3) = 3 - 4

g(3) = -1

✔️Find (f + g)(3):

(f + g)(3) = f(3) + g(3)

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47.84%

Step-by-step explanation:

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