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AnnZ [28]
3 years ago
13

Triangle ABC and DEF are congruent. Find x.

Mathematics
2 answers:
Olenka [21]3 years ago
5 0

11/2. You can set x+6=3x-5 because when two triangles are congruent then all their corresponding sides and angles are congruent. Then solve for x and you get x=11/2

frosja888 [35]3 years ago
3 0
Since ABC is congruent to DEF we know that side AB is congruent to side DE. Set up the equations for both sides to equal one another (x + 6 = 3x - 5). Solve to find “x”:
- 6 = 2x - 5
- 11 = 2x
- x = 5.5
Hope this helped :)
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Is (2,3) (4,5) (2,8) a function?
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Write down the 5th term in the sequence given by t(n) = n^2 +2n
madam [21]
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Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
aliina [53]

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

4 0
2 years ago
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