If QR=x+29 and PS=x–16, what is the value of x?

If QR=x+29 And PS=x16, What Is The Value Of X?

Answers

Answer 1

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.


Related Questions

Find the measure of the missing angle in this isosceles triangle.

Answers

The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.

What is an Isosceles triangle?

An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.

The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.

55 + 55 + a = 180

Recall the sum of angle in a triangle is 180 degrees.

110 + a = 180

subtract 110 from both sides

110 - 110 + a = 180 - 110

a = 70 degrees

learn more on Isosceles triangle here: https://brainly.com/question/4264350

A computer valued at $6500 depreciates at a rate of 14
.3% per year. Determine the value of the computer
after 5 years.

Answers

Answer:

A depreciation of 14.3% leaves you with 85.7%, right? Each year's value is 85.7% of the tear before.

So, 6500(0.857)3 = $4091.25

A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?

Answers

Answer:

no it is not a right angled triangle.

Step-by-step explanation:

forthetra

This is a pythagorean theory question

If this is a right triangle (meaning one of the angles in the triangle is 90 degrees) then the lengths of the sides should make the formula true.

a^2 + b^2 = c^2 (c being the longest side or hypotenuse)

so plug in the lengths and prove or disprove the statement.

(63)^2 + (64)^2 = (85)^2

3969 + 4096 = 7225

8065 = 7225 false

The answer is NO it is not a right triangle.

I hope this helps and is the BRAINLIEST!

Good luck with your studies!

can y’all please helpppp , i’ll give brainliest

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The y - coordinate of a point lying on that function is represented by f(x) for each value of x, so let's find the corresponding value of x, when f(x) = 0

In the given case, y - coordinate of two points is equal to zero. hence we will get two distinct values of x

that is :

[tex]\qquad \sf  \dashrightarrow \: x = - 2 \: \: and \: \: x = 4[/tex]

A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected

Answers

Answer:

30% for chocolate

Step-by-step explanation:

9÷30= 30% 0.3 vanilla

9÷30=30% 0.3 chocolate

12÷30=40% 0.4 oatmeal

The probability of choosing chocolate is 0.30.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Number of total cookies = 30

Number of vanilla = 9

Number of chocolate = 9

Number of oatmeal = 12

The probability that chocolate is randomly selected is;

Probability of choosing a chocolate = Number of chocolate / Number of total cookies

Probability of chosen a chocolate = 9 / 30

Probability of chosen a chocolate = 3 / 10

Probability of chosen a chocolate = 0.30

Hence, the probability of choosing chocolate is 0.30.

To know more about probability click the link given below.

brainly.com/question/11234923

#SPJ4

p-p-p-q-q-q =?
its urgent

Answers

Hey there!

Let's combine like terms:

p-p-p-q-q-q

p-p-p=-p

-p-p-q-q-q

-p-3q

Remember,  like terms are from the same "family"

So p's are from the p family, and q's are from the q family.

Hope everything is clear.

Let me know if you have any questions.

#LearningDoesn'tEnd

What is the value of the expression shown?
3
(1)

Answers

(1/3)³ = 1³ / 3³ = 1/27

1/27

kgfgkjhgbkjyhgbjtg

Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7ft to 1in. The dimensions of the deck are 28ft by 17.5ft. What are the dimensions of the deck in the drawing? show your work.

Answers

Answer:

4 inches by 2.5 inches

Step-by-step explanation:

The scale factor is 7 feet/1 inch.

This can be written as  7'/1" or as 1"/7'

28 feet converts to (28')*(1"/7') = 4"

17.5 feet converts to (17.5)*(1"/7') = 2.5"

The drawing dimensions are 4 inches by 2.5 inches.

Answer:

Step-by-step explanation:

Need Help! Given the drawing, what would the value of x need to be in order for it to be true that m || n ? ​

Answers

Answer:

13

Step-by-step explanation:

The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.

Ashley ate Mexican food 4 out of 7 days on her vacation. If her vacation was 35 days, how many days did she eat Mexican food?

31

21

20

28

Answers

The number of days Ashley ate Mexican food while on vacation is 20 days.

How many days did Ashley eat mexican food?

The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7

4/7.

The second step is to multiply 4/7 by 35

4/7 x 35= 20 days

To learn more about multiplication, please check: https://brainly.com/question/3385014

There are 8 fluid ounces in 1 cup...

Answers

Answer: 4 cups

Step-by-step explanation:

First, convert the 6 cups of water to fluid ounces:

6 cups (8 fluid ounces / 1 cup) = 48 fluid ounces.

Then, since each bowl took 4 fluid ounces, and there are 4 bowls, the total fluid ounces used must be 16.

Thus, if there was 48, and 16 were used, 32 fluid ounces must be left. Convert this to cups by dividing by 8 and getting 4 cups.

PLEASE HELP ASAP 30 POINTS!!!!!!!!!

Answers

Answer:

$11.25

Step-by-step explanation:

multiply 15 by 25% which is .25

15 * 0.25 = 3.75

minus 3.75 from 15

15 - 3.75 = 11.25

PLEASE HURRY NEEDED ASAP

Answers

Answer:

1: Is a function

2: Isnt a function

3: Is a function

4: Isnt a function

Reminder: Functions CAN"T have the same x values but different y values!!!!

Have a great day!!

Please rate and mark brainliest!!

Answer:

Sorry, all I know is the first one is a function.

Step-by-step explanation:

It's linear, and passing the vertical line test because it only has a point on each part of the x-axis, if you were to graph it.

Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point

Answers

The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

How to calculate the distance?

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

Learn more about distance on:

https://brainly.com/question/17273444

Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:

Now suppose you buy a stock for $3,500. It decreases in value by 3% and then rises 8%. To the nearest cent, what is the new value of the stock now?

Answers

The new value of the stock after the percentage decrease and increase is  $3666.60.

What is the new value of the stock?

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

Value of the stock after the decrease = (100 - 3) x $3500 = $3395

alue of the stock after the increase = (100 + 8) x 3395 = $3666.60

To learn more about percentages, please check: https://brainly.com/question/25764815

How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.

Answers

Answer:

1 min- 60 secs

2 mins- 120 secs

3 mins- 180 secs

Step-by-step explanation:

If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.

1x60=60

2x60=120

3x60=180

Mar 31, 2:56:59 PM
Ryan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 3.75 hours and charged him $192 for parts.
The total was $398.25. Which equation could be used to represent
the context if x represents the cost of labor per hour?

Answers

3.75x+192=398.25 is how much the technician earns

The area of the squared garden is 625 sq. m, what is its perimeter ? (Ans: 100 m)​

Answers

Answer: Area of square = a*a(where a is length of one side) Putting value a x a=625 cm2 a= 25 Perimeter will be 4 x a 4 x 25 = 100 cm

Step-by-step explanation:

[tex]\sf\huge\underline{Given:-}[/tex]

Area of the square field [tex]\sf{= 625 m^2}[/tex]

[tex]\sf\huge\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Perimeter of the square garden.

[tex]\sf\huge\underline{Formula \:Used:-}[/tex]

Area of square [tex]\sf{= side^2}[/tex]

Perimeter of square [tex]\sf{= 4×side}[/tex]

[tex]\sf\huge\underline{Solution:-}[/tex]

As we know,

[tex]\rightarrow[/tex] Area of square [tex]\sf{= side^2}[/tex](putting the given value of area)

[tex]\rightarrow[/tex] [tex]\sf{Side^2}[/tex] [tex]\sf{= 625}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{Side}[/tex][tex]\sf{= \sqrt{625}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{Side}[/tex][tex]\sf{= 25cm}[/tex]

So, From here we got the side of the square garden that is, 25cm.

Now,

[tex]\rightarrow[/tex]Perimeter of square [tex]\sf{= 4×side}[/tex](Putting the value of side)

[tex]\rightarrow[/tex] Perimeter of square [tex]\sf{= 4×25}[/tex]

[tex]\rightarrow[/tex]Perimeter of square [tex]\sf{= 100cm}[/tex]

Therefore, perimeter of the square garden = 100cm.

Find the missing dimension of the cone.

Volume = 118π ft3
2/3 ft
h =_ft

Answers

The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

What is the Volume of a Cone?

Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.

Given the following:

Volume = 1/18 π ft³Diameter = 2/3 ftRadius = (2/3)/2 = 1/3 ftHeight (h) = ?

Plug in the values into the volume formula:

1/18π = 1/3π(1/3)²h

1/18π = 1/3π(1/9)h

1/18π = (πh)/27

Divide both sides by π

1/18 = h/27

Cross multiply

27 = 18h

27/18 = h

h = 1.5

Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

Learn more about volume of cone on:

https://brainly.com/question/13677400

Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.

Answers

The probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]

Hence the probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

To learn more about the probability link is given below.

https://brainly.com/question/795909

Answer:

Option D is the correct answer

Step-by-step explanation:

D. [tex]\frac{1}{5}[/tex]

Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi

Answers

Answer:

314

Step-by-step explanation:

This is because the area is r^2*3.14

which equation is equivalent to the expression (-2x to the power of two) (3x to the power of 5)?

A. 6x to the power of 7

B. -6x to the power of 10

C. 6x to the power of 10

D. -6x to the power of 7

Answers

Answer: pretty sure the answer is D

Step-by-step explanation:

What strategies can I use to help me understand and represent real situations involving linear relationships?

Answers

Answer:

"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "

Step-by-step explanation:

Find the height of a triangular pyramid with a volume of 13 m and a base area of 7 m

Answers

Answer:

h = 0.79591836734694 m

Step-by-step explanation:

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $300 each, and the laptop computers cost $350 each. How much would it cost to buy 18 notebooks and 12 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?

Answers

Answer:

$9,600

Step-by-step explanation:

notebook computer : $300

laptop computer : $350

18 x 300 = 5,400

12 x 350 = 4,200

4,200 + 5,400 = 9,600

Write your answers using set notation.

Answers

Answer:

  domain = {-8, -6, 8}

  range = {-4, -1, 0, 8}

Step-by-step explanation:

The domain is the set of first numbers of the ordered pairs. The range is the set of second numbers. We generally like to have the elements of a set arranged in order, with duplicates eliminated.

  domain = {-8, -6, 8}

  range = {-4, -1, 0, 8}

The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?

Answers

Your missing the diagram. Thus, I will try my best to help

Answer/Step-by-step explanation:

Given;

The diagram below shows how much time Antoine spends doing different activities each day.

How many hours does Antoine sleep in a day?

Solve;

To find how many hours does Antoine sleep in a day;

24 hour × percent of hour sleep = Hours sleep in a day

The sleeping hours = 24h × % = Hour

If you still do not understand please shown the diagram!

~Learn with Lenvy~

The price of gas increased from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

Answers

The percent increase would be about 55%

Can someone please help me

Answers

Answer:

Hence corre ctophon is (A)

AYUDA ES PARA HOY ayudaaaaaaaaaa

Answers

La respuesta seria -4

Answer:

The answer is 12

Step-by-step explanation:

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