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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Find the domain and range of the function below.

Nana76 [90]

ANSWER

Domain: All real numbers

Range:

$[2, \infty )$

EXPLANATION

The given function is

$y = 3 {x}^{2} - 6x + 5$

To find the domain and range of the given function, we complete the square.

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$y = 3 ({x - 1)}^{2} - 3+ 5$

$y = 3 ({x - 1)}^{2} + 2$

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

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The range is

$[2, \infty )$

7 0

3 years ago

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DerKrebs [107]

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