Rectangle JKLM
is rotated to obtain J′K′L′M′
. Which statement is true

a.J′K′L′M′ will be a quadrilateral but not a rectangle because the measurements of line segments and angles are preserved in a rotation, but parallel lines are not.


b.J′K′L′M′ will be a parallelogram but not a rectangle because parallel lines are preserved in a rotation, but the measurements of line segments and angles are not.


c.J′K′L′M′ will be a rectangle because the measurements of line segments and angles, and the presence of parallel lines are preserved in a rotation.

d. J′K′L′M′ will not be a rectangle because the measurements of line segments and angles, and the presence of parallel lines are not preserved in a rotation

Answer:

y - 4 = (-3/5)(x + 5)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h)

Here, y - 4 = (-3/5)(x + 5)

Answer:

Where are the numbers?

Step-by-step explanation:

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Answer:

there are no numbers

Step-by-step

!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

3^2 + 11^2 = 130

7^2 + 9^2 = 130

---

1^2 + 18^2 = 325

6^2 + 17^2 = 325

Step-by-step explanation:

We want to express 130 and 325 as the sum of two squares in two different ways.

Then, we want to find two integers a and b such that:

a^2 + b^2 = 130

There is not an analytical way to do this, we just need to try with different integers.

Let's start with 130.

So we start by defining a as a really small integer, for example 1, and try to find b.

1^2 + b^2 = 130

b^2 = 130 - 1

b^2 = √129 = 11.3

This is not an integer, so let's try with another value of a.

a = 2

2^2 + b^2 = 130

4 + b^2 = 130

b^2 = 130 - 4

b = √126 = 11.2

This can be discarded again.

Now let's try with a = 3

3^2 + b^2 = 130

9 + b^2 = 130

b^2 = 130 - 9

b = √121 = 11

Nice.

So we can express 130 as:

3^2 + 11^2 = 130

Now let's find another pair.

In the same way, we can see that for a = 7 we get:

7^2 + b^2 = 130

42 + b^2 = 130

b^2 = 130 - 49

b = √81 = 9

Then we can write:

7^2 + 9^2 = 130

Now for 325:

With the same reasoning than before, we want to find two integers such that:

a^2 + b^2 = 325

Then we start evaluating a by the smallest values:

a = 1

1^2 + b^2 = 325

b^2 = 325 - 1 = 324

b = √324 = 18

Then we can write 325 as:

1^2 + 18^2 = 325

Now to find the next pair we need to keep testing values for a, we will get for a = 6:

6^2 + b^2 = 325

36 + b^2 = 325

b^2 = 325 - 36 = 289

b = √289 = 17

Then we can write:

6^2 + 17^2 = 325.

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

Answer:

25.12 in.

Step-by-step explanation:

Circumference formula: pi*2*radius

radius=4, so

3.14*2*4=25.12

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

x-intercept: (-7.5 , 0)   y-intercept: (0 , 5.5)

Step-by-step explanation:

Answer:

its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

Answer:

Hi! The answer to your question is [tex]x = 8[/tex]!

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-2}{2-(-2)}[/tex]

[tex]m=\dfrac{3}{2+2}[/tex]

[tex]m=\dfrac{3}{4}[/tex]

Therefore, the slope of the given graphed line is [tex]m=\dfrac{3}{4}[/tex].

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

Answer:

5,000,000+4,000+300=5,004,300

Step-by-step explanation:

hope this helps

Answer:

$2250

Step-by-step explanation:

30 x 25 = 750 -> area

750 x 3= 2250

Answer:

3^5/3

log(1/2)

log2(16)

Step-by-step explanation:

u.

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Answer:

4.

Step-by-step explanation:

Each term is separated by a symbol.

Terms can be: 4x, 0.5x, 3, 700, etc.

term 1: x

term 2: 12

term 3: 3

term 4: 2

Hope that helped <3

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

Answer:

sqrt(30-21)-sqrt(4)=1

Step-by-step explanation:

I found that sqrt(30-21)-sqrt(4)=1 since sqrt(30-21)=sqrt(9)=3 and sqrt(4)=2 so 3-2=1

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

Answer:

yes

Step-by-step explanation:

because the area of square is l² so John is righrt

Answer:

Area of square= ²

Area of square A= ²

Area of square B = ?

let the length of square A = x

Area of square A =x²

then the length of square B = 2x

Area of square B =2x²

x²means area of square A

so Area of square B =2 times area of squarf A

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264