On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.

The slope of diagonal PS is

.

The slope of diagonal QR is


Step 2: Calculate the midpoint of the diagonals.

The midpoint of PS is


The midpoint of QR is

.

The diagonals of the square are perpendicular bisectors because the diagonals are

Answer: 56

Step-by-step explanation:

you multitouch answers I think

area of semicircle + area of square + area of semicircle

I think 149.04 in²

Answer:

Emily=24 marbles Zak=8 marbles

Step-by-step explanation:

sum of ratio= 3+1=4

Emily: Zak= 3:1

no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles

                                      = [tex]\frac{3}{4}[/tex]×32

                                      =24 marbles

No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32

                                    =8 marbles

Answer:

7. m^21n^27

8. a^21b^28

Step-by-step explanation:

7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21

then  n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27

your answer is m^21n^27

8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21

b^4 raised to the 7th power = b( 4 * 7 ) = b^28

your answer is a^21b^28

hope this helps:)

Answer:

Step-by-step explanation:

b

Answer:

3

Step-by-step explanation:

At this stage, you have to isolate x. To do this, you must divide by 7 on each side of the equation. 21/7 is 3.

Hope this helped!

The property applied to the expression is (b) inverse property of multiplication

The expression is given as:

[tex]\frac{17}{3} * \frac{3}{17} = 1[/tex]

The numbers 17/3 and 3/17 are multiplicative inverses.

This means that the property applied to the expression is (b) inverse property of multiplication

Read more about expression properties at:

https://brainly.com/question/723406

#SPJ4

Answer:

Inverse Multiplication

Step-by-step explanation:

If you want the work to be shown, look up, otherwise my answer was B on Edge 2022

Answer:

116 centimeter squared

Step-by-step explanation:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

Answer:

Step-by-step explanation:

A.) 16500 Seconds

B.) 12569 Seconds

C.) 38116 Seconds

D.) 20700  Seconds

E.) 7256

Answer:

20 hrs

Step-by-step explanation:

t = third worker

1 / ( 1/20 + 1/15 + 1/t)  = 6

1 = 6/20 + 6/15 + 6/t

3/10 = 6/t

t = 20 hrs    

Answer:

hope this will help you

Step-by-step explanation:

69+420/3

first of all divide 420 by 3 which is 140

69+140

then add with 69

209

Answer:

The correct answer should be 209.

Step-by-step explanation:

Also here Is your art my good sir!

Answer:

Step-by-step explanation:

Answer:

12% decrease

Step-by-step explanation:

given:

In 2017, a chocolate bar had a mass of 250g.

In 2018, the mass of the chocolate bar was reduced to 220g.

The difference in mass is 250 - 220 = 30g

30 / 250 = 0.12 which is how much out of the 250g

0.12 x 100 = 12

12% decrease in the mass of chocolate bars from 2017 to 2018.

A percentage is a number or ratio expressed as a fraction of 100.

According to the question, it is given that

The mass chocolate bar had a mass of 250g in 2017

The mass of the chocolate bar was reduced to 220g in 2018

We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=(250-220)/250×100

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=30/250×100

=0.12×100

=12%

Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Use distance formula and take this question down, easily.

Step-by-step explanation:

Distance xy =

[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]

Therefore AB

=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]

=[tex]\sqrt{(4)^2 +(4)^2}[/tex]

=[tex]\sqrt{32}[/tex]

=[tex]\boxed{4 \sqrt{2}-units} [/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]

➢ Here question is asking to find the distance between points "A" and "B"

➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula

➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions

[tex]\rule{80mm}{2.5pt}[/tex]

[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]

★ Here

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]

[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

Hence distance of AB =

[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]

Hope it helps !

Answer:

a. 29.05 b. 29.05 c. 29.5

Answer:

..........................

Step-by-step explanation:

The sum of angle at a point is 360° so...

310° + a = 360°

a = 360° - 310°

a = 50°

Now...

here b and 180° are supplementary angle so ....

b = 180° - 80°

b = 100°

Again...

The sum of all angle of triangle is 180° so...

100° + 50° + c = 180°

150° + c = 180°

c = 180° - 150°

c = 30°

Hence...the value of a is 50° , b is 100° and c is 30°...

Answer:

answer is (-2,1), (-1,4), (1,2)

pls mark me as brainliest

Answer:

The correct answer is the second one.

Step-by-step explanation:

68/5 - 18/5 = 50/5

50/5 simplified is 10

Making the second equation true.

Hope this helps:) Goodluck!

The values are

First plot two dots on 8

Then rest two on -8

Answer:

See below ~

Step-by-step explanation:

Solving :

Answer:

(1,4) and (2,8)

Step-by-step explanation:

If you write these 2 ordered pairs as a fraction: 1/4 and 2/8 you can see that they are both equivalents.

Answer:

B, C and D

Step-by-step explanation:

Edge 2022/2023

Answer:

60 miles

Step-by-step explanation:

Distance travelled :

Answer:

C = [tex]12\pi m[/tex]

A = [tex]36\pi m^2[/tex]

Step-by-step explanation:

I'm going to assume that the radius is 6m. The circumference of a circle is [tex]C = 2r\pi[/tex]. So we can plug in 6 for r and we get the circumference is [tex]12\pi m[/tex].

For area, the equation is [tex]A = \pi r^{2}[/tex]. So we can again plug in 6 for r and we get that the area is [tex]36\pi m^2[/tex].

If 6m is the diameter, then the circumference is [tex]6\pi m[/tex] and the area is [tex]9\pi m^2[/tex].

Answer:

20

Step-by-step explanation:

2x+3x+4x = 180 degree

9x = 180

X = 20.

Answer:

hope it help you

Step-by-step explanation:

[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]

Answer:

6x

Step-by-step explanation:

Take x as the common factor and calculate.

B. Just saying, this is an estimate, yet it seems more logical.

Answer:

270

Step-by-step explanation:

 x = k/y     This is an inverse relationship with k = constant of proportion (or variation)

-9 = k/(-30)

k = -9  *  -30 = 270

Answer:

Constant of variation  = 270.

Step-by-step explanation:

y = k/x

-30 = k / -9

k = -30 * -9

k = 270

Step-by-step explanation:

dk if this makes sense

Answer:

C) SSA Similarity Theorem

Step-by-step explanation:

The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.