The rule (x,y)→(−x,y) maps △ABC to △A′B′C′.Which statement correctly describes the relationship between △ABC and △A′B′C′ ?

The triangles are congruent because △A′B′C′ is a rotation of △ABC, and a rotation is a rigid motion.

The triangles are congruent because △A′B′C′
is a reflection of △ABC, and a reflection is a rigid motion.

The triangles are not congruent because △A′B′C′
is a translation of △ABC, and a translation is not a rigid motion.

The triangles are not congruent because △A′B′C′
is a reflection of △ABC, and a reflection is not a rigid motion.

Answers

Answer 1

Answer: Going from (x,y) to (-x,y) is telling us we have a reflection going on. For example, (1,2) will map to (-1,2). This is a reflection over the y axis (the vertical axis). A reflection will keep two points the same distance apart. So it preserves distances and side lengths. Therefore, if ABC is reflected over the y axis then A'B'C' is congruent to ABC.

The final answer is choice B.

Answer 2

Answer:

The correct option is :

(B)The triangle are congruent because the triangle A'B'C' is a reflection of triangle ABC and a reflection is a rigid motion.

Step-by-step explanation:

Given information:

The rule (x,y) going to (-x,y) maps triangle ABC to Triangle A'B'C'

Now,

The reflection is going on if we are going from (x,y) to (-x,y)

For example the point (1,3) will map (-1,3) , this is a reflection over y axis.

A reflection will keep the two points the same distance apart so we can say it will preserve the side length and distance.

Hence, if triangle ABC is reflected over y axis then A'B'C' is congruent to ABC.

So, The correct option is :

(B)The triangle are congruent because the triangle A'B'C' is a reflection of triangle ABC and a reflection is a rigid motion.

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Answers

Hello there!

Let's use foil.

First: 4x * 2x = 8x^2

Outside: 4x * -9 = -36x

Inside: -7 * 2x = -14x

Last: -7 * -9 = 63

Now, let's combine these.

8x^2 - 36x - 14x + 63

Finally, we can simplify this

8x - 50x + 63

I hope I helped!

Let me know if you need anything else!

~ Zoe

X^{2} -25=0 Please help meeee

Answers

Answer:

$x=5,x=-5$

Step-by-step explanation:

$x^2-25=0$

Add 25 to both sides:

$x^2-25+25=0+25$

$x^2=25$

Square root both sides:

$x=√(25),\:x=-√(25)$ (Since a negative number multiplied by itself gives positive, there are two answers.)

$x=5,x=-5$

Hey there!

ANSWER: $x=5\nx=25$

EXPLANATION:

$x^2-25=0$

The first step we have to do is to add 25 to both sides of the equation.

$x^2-25+25=0+25\n\text {equals }x^2=25$

In our last and final step, we will have to take the square root.

$x=$ ± $√(25)$

We have two answers.

$x=5(ANSWER)\nx=-5(ANSWER)$

Hope this helps!

$\text {-TestedHyperr}$

125apples were shared between jerry and kay. kay received 20% less than jerry.

Answers

if that is the case, then Jerry got 60% and Kay received 40%, because together they make the 100%, or in equations:
kay + jerry = 100%
kay = jerry - 20%
substitute:
jerry - 20% + jerry = 100%
2*jerry = 120%
jerry = 60%
kay = jerry - 20% = 60% - 20%
kay = 40%
if you want to know the amount of apples each has:
kay = 40%(125) = 0.4(125)
jerry = 60%(125) = 0.6(125)

Hi,Can some one tell me how to solve this problem √-27 (step by step please)

Answers

The solution is short and simple: "A negative number has no real square root. There is no solution."

√-27=√-3*-3*-3=√ 3^{2} *(-3)=3√-3 is the ans

X+y=0 and x-y=10 solve by substitution.. How do I figure out the problem!

Answers

$x+y=0 \n x-y=10 \n\nx=-y\nx-y=10\n\n-y-y=10\n-2y=10\ny=-5\n\nx-5=0\nx=5\n\n\boxed{(x,y)=(5,-5)}$

x+y=0
- x-y=10
--------------
(0)+2y=-10 [x and -x cancel each other out. y minus -y is the same as y+y]
y=-5
now substitute -5 in for y in either problem:

x+-5=0
x=5

How much would $600 invested at 8% interest compounded continuously be worth after 3 years? Round your answer to the nearest cent.

Answers

Answer:$762.73

Step-by-step explanation:

The answer would be 762.75

Hope this helps. Good luck!

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