The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

In this problem:

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145

[tex]{\huge{\boxed{\sf{Question}}[/tex]

[tex]-1.2= y\div2.4 -1.7[/tex]

Solve for y

[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]

let's put our equation first

[tex]-1.2= y\div2.4 -1.7[/tex]

Flip the equation

[tex]y\div2.4-1.7=-1.2[/tex]

Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]

[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]

[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]

_________________________

[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]

_________________________

[tex]y\div2.4-1.7=-1.2[/tex]

[tex]{\underline{simplify}}[/tex]

[tex]0.416667y-1.7=-1.2[/tex]

add [tex]1.7[/tex] to both sides

[tex]0.416667y=0.5[/tex]

Divide both sides by [tex]0.416667[/tex]

[tex]y=1.2[/tex]

[tex]{\huge{\boxed{\sf{Answer}}}[/tex]

[tex]y[/tex] would equal [tex]1.2[/tex]

Answer:

3x−7

Step-by-step explanation:

3x – 6+ (-1)

3x + (-7)

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)

Answer:

R

Step-by-step explanation:

E is congruent to R because of angle stuff

Answer:

y=1/3x+5 hope it helps you

Answer:

Least ------> Greatest

32.102, 32.94, 33.6, 34.039, 34.198

Answer:

32.102, 32.94, 33.6, 34.039, 34.198

Step-by-step explanation:

34.039, 32.94, 34.198, 32.102, 33.6

Rearrange:

34.198 > 34.039

33.6 > 32.94 > 32.102

New list: 32.102, 32.94, 33.6, 34.039, 34.198

-Chetan K

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

Answer:

[tex]f(x)=53[/tex]

Step-by-step explanation:

For [tex]f(x)=10x-7\\[/tex] substitute x for 6

[tex]10\cdot 6=60\\60-7=53[/tex]

[tex]f(6)=53[/tex]

Answer:

21u-26

Remember to add like terms

Answer:

queen's width = 60 in

queen's length = 80 in

king's width = 76 in

king's length = 80 in

Step-by-step explanation:

-queen's wide = ???

-same length = queen's wide + 20

king size:

-king's wide = queen's wide + 16

-same length = queen's wide + 20

queen's area = x

king's area = x + 1280

area = width * length

let's call queen's width and king's width "qw" and "kw" respectively

let's call queen's length and king's length "ql" and "kl" respectively

Q area:

qw * (qw + 20)

qw² + 20qw = x

K area:

(qw + 16) * (qw + 20) = x + 1280

qw² + 36qw + 320 = qw² + 20qw + 1280

qw² - qw² + 36qw - 20qw = 1280 - 320

16qw = 960

qw = 960 / 16

qw = 60

ql = 60 + 20

ql = 80

kw = 60 + 16

kw = 76

kl = ql

kl = 80

Answer:

(7n+12)^2 or (7n+12)(7n+12)

Step-by-step explanation:

Answer:

(7n+12)^2    or     (7n+12) (7n+12)

Step-by-step explanation:

Both answers are the same thing it's just shortened with the first equation.

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

Answer:

[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]

Hope you have understood this.....            

ask me if you have any confusion.....            

if you liked it pls mark it as the brainliest

Answer:

y = - 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )

m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2 )

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of line

Answer:

1 pm

Step-by-step explanation:

We have to find their LCM, or least common multiple

Multiples of 36: 36, 72, 108, 144, 180, 216, ......

Multiples of 45: 45, 90, 135, 180, ....

180 mins is their LCM.

180 mins = 3 hours

10am + 3hours = 1 pm

-Chetan K

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

Answer:

you didnt give any options

Answer:

a=36

Step-by-step explanation:

The given angles are corresponding

2a+3a=180

5a=180

a=180/5=36

Answer:

$56.10

Step-by-step explanation:

The first step is to multiply the values.

28.50 for large.

27.60 for small.

Add them together.

You get 56.10.

Answer/Step-by-step explanation:

Given:

$5.70= Large necklace

$4.60 = Small necklace

To Find:

How much will Kevin earn from selling 5 large necklaces and 6 small necklace?

Solution:

To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...

Multiply 5.70 by 5 and 4.60 by 6.

5.70 x 5 = 28.5

4.60 x 6 = 27.6

Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.

To Find all Kevin earn add both together = 56.10

Therefore Kevin earn $56.10 altogether.

Answer:

105 sweets

Step-by-step explanation:

4×15 = 60

2×15=30

1×15=15

60-15 =45

60+30+15=105

Answer:

2/3 is the anwer.

Step-by-step explanation:

Answer:

A) 49x^2-36 km

Step-by-step explanation:

Remember that speed is equal to distance divided by time. Therefore, if you multiply time with speed, then you get the distance traveled.

So, we will do (7x+6) kph multiplied by (7x-6) hours to get 49x^2-36 km.

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle ABE = 90°

Angle CBE = 37° (opposite angle)

90 - 37 = 53°

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

m = ( y2-y1)/(x2-x1)

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

y-2 = 1/5x +2/5

Add 2 to each side

y-2+2 = 1/5x + 2/5 + 2

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer:

B. y = 1/5x + 12/5

Answer:

open circle btw

Step-by-step explanation:

step 1: go to the right where the 3 is

step 2: go to the little dash the 1st one on the right of the 3

step 3: circle the dash and make an arrow going to the right

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

Answer:

7 ice cream machines can make 1,120 gallons of ice cream

Step-by-step explanation:

Divide 320 by 2

multiply 160 by 7

you should get 1,120

7 ice-cream machines makes 1120 gallons of ice-cream.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.

Here, quantity of ice cream made by 1 machine =320/2

= 160 gallons

Now, 7 ice-cream machines makes

160×7= 1120 gallons

Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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