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Black_prince [1.1K]
2 years ago
10

What is the area and perimeter of the following figure​

Mathematics
1 answer:
malfutka [58]2 years ago
3 0

Answer:

AREA: 3000 sq. un. PERIMETER: 232 un.

Step-by-step explanation:

The area of the parallelogram + the two added triangles is 3360. The area of each added triangle is 180. So, 3360 - 2(180) is 3000. That's the area.

To find the perimeter, use the pythagorean theorem. 1600 + 81 = c^2. 41 = c. So after all this, you can finally do 75 + 75 + 41 + 41 = 232

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Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

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2 years ago
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