Which property of equality justifies the statement If MN + PQ = RS + PQ, then MN = RS?

Answers

Answer 1

Answer:

Additive Property of Equality

Step-by-step explanation:

If we are discussing equations, then the property would be the Additive Property of Equality. It states that if we know something is added to both sides of an equation, the sides remain equal. If y+x=z+x, we know that y=z.


Related Questions

Find the missing side length.
PLEASE NO LINKS- I WILL REPORT YOU.
I Need help-
Thank you

Answers

To find the missing side length you need to remember the 30,60,90 triangle formula. The answer is X=6 Y=6 sq root of 3

6x - 4y = 38
x + y = 5

Answers

Answer: y= -4/5 and x= 29/5

Step-by-step explanation:

From eqn2 , x= 5-y. Thus substituting in eqn1 will give

6(5-y)-4y=38

30-6y-4y=38

30-10y=38

-10y=38-30

-10y= 8

y=8/-10---> y= -4/5

Substituting y in eqn2 we have

x+(-4/5)=5

x=5+4/5

x=29/5

Multiplying by a positive number will give a positive product. TrueFalse​

Answers

Answer:

true

Step-by-step explanation:

Asked the wrong question minutes ago. The question I need answering is here, in the included photo.

Answers

Step-by-step explanation:

m L 1 = 180°-75° = 105° ( angles in one side)

m L 2 = 75° (corresponding angles)

Vertical angles have sum 180

m<1=

180-75105°

m<2

180-10575°

How many different codes can a combination lock have if there are 4 numbers on the lock and each number can be from 0-9?

Answers

Answer:

There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code. Suprisingly, people have an intense lack of imagination when it comes to choosing codes.

Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?

Answers

Answer:

Ratio of the volumes of the spheres and cube = 0.523

Step-by-step explanation:

From the figure attached,

Diameter of one sphere = Half of the measure of one side of the cube

                                        = [tex]\frac{x}{2}[/tex]

Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]

                                   = [tex]\frac{x}{4}[/tex]

Volume of a cube is given by the formula,

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]

                                                        = [tex]\frac{x^3\pi}{48}[/tex]

Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]

                                   = [tex]\frac{x^3\pi}{6}[/tex]

Volume of a cube = (side)³

                              = [tex]x^3[/tex]

Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]

                                                                              = [tex]\frac{\pi}{6}[/tex]

                                                                              ≈ 0.523

A square has a perimeter of 8g + 16. Which expression also represents the perimeter given the side length of the square?

Answers

Answer:

4(2g+4)

Step-by-step explanation:

8g+16

Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.

8/4=2

16/4=4

One side is 2g+4. So multiply that equation by 4.

4(2g+4)

DOUBLE CHECK

4(2g+4)

8g+16

---

hope it helps

Answer:

4(2g+4)                                                                :):):):):):):):):):):):)

HELP ASAP!! Find the total area of the figure below. Round your answer to the nearest tenth

Answers

Answer:

area = 88 mi²

Step-by-step explanation:

all vertical dimensions = 8/2 = 4 mi

area = (4 x 11.9) +(4 x 6.1) + (4 x 4) = 88 mi²

Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the movie is playing, and the unshaded part represents the time spent on commercials.

Answers

Answer:

3 * 5/6 = 15/6 hours

Step-by-step explanation:

From the figure attached :

The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded

The shaded represent the actual playing time

Unshaded portion = time spent in commercials

Using the model, the actual playing time of the movie excluding commercials :

(Shaded portion / total portion) * movie length

5 / 6 * 3 = (5*3) / 6 = 15/6

I need help with this one! Please

Answers

Answer:

Less than or equal to 0

Step-by-step explanation:

You selected the correct answer.

Hope this helps

Find AB round to nearest tenth

Answers

Answer:

Step-by-step explanation:

take 55 degree as reference angle

using sin rule

sin 55=opposite/hypotenuse

0.81=AB/14

14*0.81=AB

11.34=AB

11.3=AB

Answer:

9.8

Step-by-step explanation:

I think so, probably

given the function f(x)= √x+7, find the value of x when f(x)=1

Answers

f(x) = 1, so we make the entire equation equal 1.

1 = sqrt(x) + 7

To make x by itself subtract 7 from both sides

-6 = sqrt(x)

Square both sides to remove sqrt from x.

36 = x

The value of x is 36

Plz help, its worth 200 points by today

Answers

Answer:

[tex]X = \sqrt{39}[/tex]

Step-by-step explanation:

[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]

[tex]2)\ Y^2 + 6^2 = 10^2[/tex]

[tex]3)\ X^2 + 25 + 36 = 100[/tex]

[tex]4)\ X^2 = 39[/tex]

[tex]5)\ X = \sqrt{39}[/tex]

Answer:

X = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

Suppose that a new employee starts working at ​$7.72 per hour and receives a 5​% raise each year. After time​ t, in​ years, his hourly wage is given by the equation y=$7.72(1.05)t. Find the amount of time after which he will be earning​ $10.00 per hour.

After what amount of time will the employee be earning​ $10.00 per​ hour?

Answers

Answer:

substitute 10 for y (y=10) and solve for t

2.17

Step-by-step explanation:

I think the equation is written wrong because assuming that his wage increases at the end of each year, the beginning of the first year wages should be 7.72, not 0.

recommended correction

y=7.72 + (1.05)t

Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y

Answers

9514 1404 393

Answer:

  -8x^2·y·z +3y·z^2 -4y

Step-by-step explanation:

It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...

  x^2 y z

  y z^2

  x^2 y z

  y

Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.

  = -8x^2·y·z +3y·z^2 -4y

A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards.

Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation.

6(x + 18) = 192

What does the variable x represent in Jarred's equation?

A)the number of screws in all 6 kits
B)the number of screws in one kit
C)the number of boards in all 6 kits
D)the number of boards in one kit

Answers

Answer: C)the number of boards in all 6 kits

Step-by-step explanation: A) and B) wouldn’t make sense to the given question (process of elimination)

So C) or D) welp D is only talking about one kit when there’s 6 kits so D cannot be the answer

So the answer is C)

Please mark me as brainliest

Have a nice day!

Answer:

C or D cause A B doesnt make sence its d

Step-by-step explanation:

help ASAP!!!

The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481
feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)​

Answers

[tex] \huge \frak \orange {question:-}[/tex]

The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.

(HINT: Is the base on the surface?)

[tex] \huge \frak \red{solution:-}[/tex]

Square with edge length = 756 feet

Square= 1/2 × 297.45 × 481

= 286,146.9ft

= 1,037,709,9ft. base with edge length =756 feet

area of square,

= Side² = 756 × 756 = 571,563ft²

⇒ area of base = 1/2 = 756/2 = 378ft

By pythagorean theorem,

H² = P²+B²

(481)² = P²+(378)²

P² = (481)²-(378)²

P² = 231,361-142,884

P² = 88,477

P = √88,477

P = 297.45

Area of triangle =1/2 × b × h

= 1/2x297.45*481

= 148.725×481

= 71,536.725

Now area of 4 triangles = 4×71,536.725

= 286,146.9ft

total surface area of pyramid + square

= 751,563+286,146.

= 1,037,709,9ft.

[tex] \huge \frak \blue{answer:-}[/tex]

[tex] \boxed{1,037,709,9ft}[/tex]

Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?

A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2

Answers

Answer:

b

Step-by-step explanation:

0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2

Summer Job!
Earn $150/week
Plus $2.75 per subscription sold
Let: T = Total weekly earnings
N = Number of subscriptions sold
Choose the equation that models weekly earnings for the summer job
advertisement.

Answers

T = 2.75N +150
So E is the correct answer

Heeeeeeelp meeee pleaseeeee

Answers

Answer:

755887578787-∵°

Step-by-step explanation:

I think it’s 1/4 x because the rise over run is up 1 right 4 based off the dotted point

PLEASE I NEED HELP ASAP!!

Answers

It would be the last one 8√2

Answer:

8√2

Step-by-step explanation:

Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP

Answers

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

Speed = 156 feet per seconds.

To convert the value of speed in feet per seconds to kilometers per hour:

What is speed?

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)

Answers

Answer:

The answer is "36".

Step-by-step explanation:

Please find the complete question in the attached file.

A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?

Answers

Answer:

89 if you pay 11$ to go to the museum for Justin 1$

Step-by-step explanation:

100 - 11 = 89.

Roy is in a hot air balloon that has just taken off and is floating above its launching point.
Dirk is standing on the ground, 7 meters away from the launching point. If Roy and Dirk are
10 meters apart, how high up is Roy? If necessary, round to the nearest tenth.

_____ meters


Please and thank you!
No links!!!!

Answers

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

Ok here is the question I need it answered fast I'll give brainliest!

Answers

Answer:

It’s C!!!

Explanation: have an amazing day!

Which two shapes have perimeters of 18 feet but have different areas?(1 point)
A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.
A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft.

Answers

Answer:

they have different areas and different perimeters

Step-by-step explanation:



y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12

Answers

If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12

Which ratio is equivalent to 1 to 8?
7 to 14
7 to 9
6 to 41
6 to 48

Answers

6 to 48 simplified

it becomes 1 to 8

so the answer is 6 to 48

plz mark as brainliest

I think the answer is 7 to 14

Jackie's mother's sister has a son. How would that son be related to Jackie? He is Jackie's​

Answers

Answer:

cousin

Step-by-step explanation:

because his moms sister is his aunt and if she had a kid it would be his cousin hope this help

Jackie's aunt son would be related to Jackie as her cousin.

Cousin

Cousin is referred to as the son or daughter of an uncle or aunt. Cousins are people who share a common ancestor that is at least 2 generations away, such as a grandparent or great-grandparent.

Jackie's mother's sister is Jackie's aunt. Therefore Jackie's aunt son would be related to Jackie as her cousin.

Find out more on Cousin at: https://brainly.com/question/12481514

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