3 years ago

PLEASE HELP!!

Mathematics

1 answer:

jonny [76]3 years ago

7 0

Answer:

A. f(n) = (n + 1)^2 – 1

Step-by-step explanation:

Figure 1

3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1

Figure 2

8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1

Figure 3

15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1

The function is:

f(n) = (n + 1)² - 1

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Can someone check my answer?

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The measure of EC is 1 ft.

Solution:

Given data:

AD = 8 ft, DB = 2 ft, AE = 4 ft

To find the measure of EC:

Using triangle proportionality theorem,

If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.

$$\frac{AD}{DB} =\frac{AE}{EC}$

$$\frac{8}{2} =\frac{4}{EC}$

Do cross multiplication.

$8EC=2\times 4$

8 EC = 8

Divide by 8 on both side of the equation, we get

EC = 1

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Hence the measure of EC is 1 ft.

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