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4 years ago

What coordinate for F would make triangle ABC and triangle DEF congruent ?

Mathematics

2 answers:

timurjin [86]4 years ago

6 0

The answer is (-2, 3) but due to brainly's "guidelines" on posting an answer, apparently I have a link or inappropriate words, so message me or something and I'll give you my working.

Fittoniya [83]4 years ago

4 0

Answer:

Option B is correct

(-2, 3)

Step-by-step explanation:

From the given diagram:

The coordinates of triangle ABC are:

A(1, 0) , B(-1, 2) and C(2, 3).

The coordinates of triangle DEF are:

D(-1, 0) , E(1, 2)

We have to find coordinate F.

Let us consider triangle ABC and triangle DEF congruent.

A ↔ D

B ↔ E

C ↔ F

Using the rule of reflection across y-axis is given by:

$(x, y) \rightarrow (-x, y)$

Apply the rule of reflection on ABC we have;

$A(1, 0) \rightarrow (-1, 0)=D$

$B(-1, 2) \rightarrow (-(-1), 2)=(1, 2)=E$

$C(2, 3) \rightarrow F(-2, 3)$

Therefore, the coordinate of F would make triangle ABC and triangle DEF congruent is, (-2, 3)

You might be interested in

If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?

andrew11 [14]

<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

$f(g(x))=(f\circ} g)(x)$

So, the given functions are:

$f(x)=x+7\\\\g(x)=\frac{1}{x-13}$

Then, composing the functions, we have:

$f(g(x))=\frac{1}{x-13}+7\\$

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0

3 years ago

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

Chose all the values of x that are not in the domain of this rational function. Picture attached, 15 points and I'll give Brainl

pogonyaev

Answer:

All of them.

Step-by-step explanation:

For rational functions, the domain is all real numbers except for the zeros of the denominator.

Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:

$x(x-1)(x^2-4)=0$