In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.

Answers

Answer 1

Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.

Recall:

When two triangles are similar, the ratio of their corresponding side lengths are equal.

Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.

Therefore:

SR/SU = QR/TU

SR = RU + SU = 12 + SU

SU = ?

QR = 40

TU = 25

Plug in the values

[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]

Cross multiply

[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]

Learn more about similar triangles on:

https://brainly.com/question/11850540

In The Diagram Below, TU Is Parallel To Q R. IfRU = 12, TU = 25, And QR = 40, Find The Length OfSU. Figures

Related Questions

4. Which of the following is an algebra tiles representation of 3x - 2 = -5?

Answers

Answer:

Equation

ans = -1

Step-by-step explanation:

3x-2=-5

3x=-5+2

3x=-3

x=-3/3

x=-1

The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answers

Answer:

[tex]y = - \frac{3}{2} x + 1[/tex]

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

slope of given line

[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]

[tex] = \frac{0 + 3}{ - 2} [/tex]

[tex] = - \frac{3}{2} [/tex]

[tex]y = - \frac{3}{2} x + c[/tex]

Given that the y- intercept is 1, c= 1.

[tex]y = - \frac{3}{2} x + 1[/tex]

150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.​

Answers

the students took math and physics = 55

(2.02 -16.61 : 5.5 ) : 2.5 - 1.6 =
solve this pls ​

Answers

Answer:

1.0612

I tried using the alogarithm of ratios but am confused please help me

Answer:

-2 Answer

Step-by-step explanation:

SEE IMAGE for Solution

The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?

Answers

Answer:

Size of the original rectangle is 30*20=600

Step-by-step explanation:

Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10

ATQ, (x+20)(x+10)=2(x+10)(x), x=20.

• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP​

Answers

Answer:

i think ..................

Step-by-step explanation:

society idsbwj ja

how long will the sum of Rs 5,000 take to reach the amount RS 8750 at the rate of 15% per annum​

Answers

Answer:

It will take 5 yrs the sum of 5000 will take to reach Rs 8750 at the rate 15%

Step-by-step explanation:

T= ?

Amount = Rs 8750

R = 15%

P = Rs 5000

so

I = A-P

= 8750 - 5000

= Rs 3750

so

I = PTR/100

3750 = (5000*15*T)/100

or, 375000 = 75000*T

or, T = 375000/75000

so T = 5 yrs



Kathryn plants two different types of tomato plant. She records the number of tomatoes that she picks from each plant every day. Her records are shown below:
Plant A: 4, 6, 7, 3, 5, 2, 1, 3, 6, 5
Plant B: 5, 6, 7, 6, 8, 9, 6, 7, 7, 9
Which plant has the more consistent yield of tomatoes?

Answers

Answer:

plant B

Consistent means better so plant be had more better yields

What is the sum of the angles 'a' and 'b' from the diagram below.

Answers

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

which of the following one is true

Answers

The answer is b ( the second one)
A) 260
B)140
C)148
D)160

Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each month cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.

Answers

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

[tex]100*3 + 100*2 + 160*1 = 660[/tex]

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in https://brainly.com/question/10693932

factor 25-4z^2
im having trouble with a question

Answers

Answer:

(5-2z)(5+2z)

Step-by-step explanation:

25 -4z^2

Rewriting

5^2 - (2z)^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(5-2z)(5+2z)

If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make

Answers

Answer:

13

Step-by-step explanation:

What is the distance between (-5, 3) and (7, 3)? Explain using absolute values.

Answers

Use pythagoras theorem

d = √((x₁ - x₂)² + (y₁ - y₂)²)

d = √((-5 - 7)² + (3 - 3)²)

d = √((-12)² + 0)

d = √144

d = 12  

Answer:

Step-by-step explanation:

distance is √((x2-x1)^2+(y2-y1)^2)

so it will be √((12)^2+(0)^2)

or simply 12. since we are calculating distance, it is always going to be positive so technecally the formula is |√((x2-x1)^2+(y2-y1)^2)|

Instructions: Find the missing side of the triangle.
12
16
X
х
=

Answers

Answer:

x = 20

Step-by-step explanation:

c^2 = a^2 + b^2

a = 12

b = 16

c = ?

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

sqrt(c^2) = sqrt(400)

c = 20


In parallelogram ABCD, what is BDC?

Answers

Answer:

25

Step-by-step explanation:

<ABD=<BDC

Check it out

Answer:

∠ BDC = 25°

Step-by-step explanation:

Since ABCD is a parallelogram , then

AB and DC are parallel , so

∠ BDC = ∠ ABD = 25° ( alternate angles )

find the missing length for the following trapezoid​

Answers

Answer:

KL = 18

Step-by-step explanation:

The midsegment TU is half the sum of the parallel bases , that is

[tex]\frac{KL+JM}{2}[/tex] = TU

[tex]\frac{KL+34}{2}[/tex] = 26 ( multiply both sides by 2 )

KL + 34 = 52 ( subtract 34 from both sides )

KL = 18

find H.C.F OF 4x²y and xy²​

Answers

Answer:

xy

Step-by-step explanation:

The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.

To start, we can list each value's factors.

For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y

Similarly, for xy² = x*y*y, our factors are x, y, and y²

The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy

find the value of trigonometric ratio​

Answers

Answer:

We know that Sin,

 [tex]=\frac{perpendicular}{hypotenuse}[/tex]

[tex]SinA=\frac{BC}{AC}[/tex]

[tex]SinA=\frac{9}{41}[/tex]

OAmalOHopeO

Determine what type of transformation is represented. A. translation B. reflection C. none of these D. rotation

Answers

Answer:

D. rotation

uhhhh I need 20 characters so

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry. But flip the image.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

Translation does not change the size and shape of the geometry. But change the location of the shape.

Check all the options.

Translation is incorrect because orientation of the triangle is changed.

Reflection is incorrect because the line of the reflection is not possible for the triangles.

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.

Then the correct option is D.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

Solve the system of inequalities and indicate any three numbers which are solutions: x-0.8>0, -5x<10

Answers

x > 0.8

x > -2

hope it helps :)

The solution of the given inequalities will be x > 0.8 and x < -2.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given inequalities are x-0.8>0, and -5x<10. the inequalities will be solved as:-

x-0.8>0

x > 0.8

-5x<10

Take -5 to the right side and divide 10 by -5 and solve further.

x < -10 / 5

x < -2

Therefore, the solution of the given inequalities will be x > 0.8 and x < -2.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ5

16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.

Answers

Answer: See explanation

Step-by-step explanation:

Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 12 + 0.5t

Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 2.5t

When using statistics, it is important to __________. Group of answer choices use the mean as an average, as it is more reliable than the median or mode present statistical information in clear, meaningful terms avoid inferential statistics, since they do not represent observable facts use a surplus to make your speech more impressive

Answers

Answer: present statistical information in clear, meaningful terms.

Step-by-step explanation:

When using statistics, the information gathered should be presented in such a way that it is clear and meaningful as this would allow for the data to be tested using various statistical measures.

If data is unclear, the measures used for the test could be negatively impacted such that the results would not represent the most accurate of interpretations.

Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12

Answers

Answer: x>12

so i think x is 16.

Look at the figure. Which step should be taken next to construct a line through point R that is perpendicular to ST ?

Answers

Answer:

where is the figure without figure how to find out

what expression represents 19 more than 6 times a number, n
1. 19n+6
2. 6n-19
3.6n+19
4.19n-6

Answers

Answer:

6n+19

Step-by-step explanation:

6 times a number, n

6n

19 more

6n+19

Answer:

6n + 19

Step-by-step explanation:

Since the expression is 6 times n

We need to have 6 x n or simply just 6n

Since the expression is 19 more than 6n

We need to have 6n + 19

Answer problem below

Answers

Answer:

A = 2, B = 1, C = 28

Step-by-step explanation:

Find the slope of the line AB.

The slope:

m = (11 - 9)/(11 - 7) = 2/4 = 1/2

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

y - 16 = -2(x - 6)y - 16 = -2x + 12y + 2x = 16 + 122x + y = 28

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

[tex]y-y_{1}=m(x-x_{1})[/tex]

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

A=2

B=1

C=28

The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?

Answers

Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:

B. 57.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.

From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:

B. 57.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

#SPJ1

What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x

Answers

Answer:

a

Step-by-step explanation:

i took this and got a 100

Answer:

y = 9x

Step-by-step explanation:

other person is so wrong, hope this helps.

Please help and show work. 60 points

Answers

Answer:

18.

Domain: X E \{-3,2}

Y-Intercept: 1/2

X-Intercept: 3

19.

Domain: (I think it's none)

Y-Intercept: -2

X-Intercept: 2

20.

Domain: X E R\ {-3,1}

y-INTERCEPT: 2/3

x-INTERCEPT: -1

Step-by-step explanation:

18) when you factor the denominator, you get (x+3)((x-2). Since it doesn’t cancel out with any product in the numerator, the discontinuity would be non removable.
19) In this function, x can equal any value, since the denominator will never equal 0. So it’s continuous.
20) then for this one when you factor, you get 2(x-1)(x+1)/ (x+3)((x-1), so it has a removable at x=1 and a non removable one at x=-3.
Other Questions
Cho h thng thng lc c m hnh ti v tr ang xt nh hnh v Yes, we all know Pluto is no longer an official planet, merely a dwarf, but it still enjoyed full planet status when New Horizons rocketed from Cape Canaveral, Florida, on Jan. 19, 2006. Plutos demotion came just seven months later, a sore subject still for many.Were kind of running the anchor leg with Pluto to finish the relay," Stern says.The sneak peeks of Pluto in recent weeks are getting "juicier and juicier," says Johns Hopkins project scientist Hal Weaver. "The science team is just drooling over these pictures."The Hubble Space Telescope previously captured the best pictures of Pluto. If the pixelated blobs of pictures had been of Earth, though, not even the continents would have been visible.The New Horizons team is turning "a point of light into a planet," Stern says.An image released last week shows a copper-colored Pluto bearing a large, bright spot in the shape of a heart.Scientists expect image resolution to improve dramatically by Tuesday. The 7,767-mile span at closest approach is about the distance between Seattle and Sydney.New Horizons, weighing less than 1,000 pounds including fuel, has seven instruments that will be going full force during the encounter. Its expected to collect 5,000 times as much data, for instance, as Mariner 4.Were going to rewrite the book," Weaver says. "This is itthis is our once-in-a-lifetime opportunity to see it."The team gets one crack at this.Were trying to hit a very small box, relatively speaking," says Mark Holdridge, the encounter mission manager. "Its 60 by 90 miles, and were going 30,000 mph, and were trying to hit that box within a plus or minus 100 seconds."The only planet in our solar system discovered by an American, Pluto actually is a mini solar system unto itself. Plutojust two-thirds the size of our own moonhas big moon Charon thats just over half its size, as well as baby moons Styx, Nix, Hydra, and Kerberos. The names are associated with the underworld in which the mythological god, Pluto, reigned. New Horizons will observe each known moon and keep a lookout for more.Scientists involved in the 700 million effort want to get a good look at Pluto and Charon, and get a handle on their surfaces and chemical composition. They also plan to measure the temperature and pressure in Plutos nitrogen-rich atmosphere and determine how much gas is escaping into space. Temperatures can plunge to nearly minus-400 degrees.Bill McKinnon, a New Horizons team member from Washington University in St. Louis, Missouri, expects to see craters and possible volcanic remnants. A liquid ocean and a rocky core may lie beneath the icy shell.Anybody who thinks that when we go to Pluto, were going to find cold, dead ice balls is in for a rude shock," McKinnon says. "Im really hoping to see a very active and dynamic world."Pluto has tantalized astronomers since its 1930 discovery by Clyde Tombaugh using the Lowell Observatory in Flagstaff, Arizona. Some of Tombaughs ashes are aboard New Horizons. His two children, now in their 70s, plan to be at Johns Hopkins for the encounter.With its tilted, elongated 248-year orbit, Pluto has made it only a third of the way around the Sun since its discovery. The amount of sunlight that reaches Pluto is so dim that at high noon, it looks like twilight here on Earth. The massive surrounding Kuiper Belt, in fact, is called the Twilight Zone. The New Horizons team has its eyes on a few much smaller objects in the Kuiper Belt, and is hoping for a mission extension as the spacecraft continues toward the solar system exit on the heels of NASAs Voyagers 1 and 2 and Pioneers 10 and 11.For now, signals take 4hours to travel one way between New Horizons and flight controllers in Maryland.New Horizonsscience instruments will be cranked up to collect maximum data Tuesday, leaving no time to send back data. In fact, scientists wont be absolutely certain of success until Tuesday night, 13 hours following New Horizonsclosest approach, when it "phones home."It will be Wednesday before the closest of Plutos close-ups are available for release. And it will be well into next yearOctober 2016before all the anticipated data are transmitted to Earth.What is the significance of this mission? What do you find extraordinary about it? You are feeling nervous.(make a wish) HELP ME !!! Find the perimeter of the polygon You are on a roller coaster that begins 1/5 mile above ground. The roller coaster descends 1/2 mile. What is the roller coaster's new location after descending? ABC Manufacturing allocates overhead based on direct labor hours. You are given the following information for 2020: Budget: Budgeted overhead $2,000, budgeted direct labor hours: 1,000 Actual: Actual overhead was $3,000, actual direct labor hours worked: 1,200Overhead for 2020 was:_______. a. Underapplied by $1,000 b. Underapplied by $600 c. Overapplied by $1,000 d. Overapplied by $600 Which expressionsareequivalent to -6+4q+(-6q)?Choose all answers that apply:6(q + 1) 422(q -3)None of the above Competitive priorities define the dimensions on which companies should excel in producing their products or services. Which one of the following statements is true?a. A firm offering little customization cannot compete simultaneously on the dimension of consistent quality.b. A firm that competes on the dimension of customization tends to have operating systems that are inflexible.c. It is impossible for a firm to improve cost and quality simultaneously.d. A firm that competes on the dimension of volume flexibility is more likely to manufacture products that experience a seasonal demand variation. Part A3.75 mol of LiCl in 3.36 L of solutionExpress the molarity in moles per liter to three significant figures Which of the following statements is false?A. A rectangle is a parallelogram.B. A rhombus is a parallelogram.C. The height of a trapezoid is the distance between its bases.D. Given quadrilateral ABCD, AB and CD are adjacent A campus deli serves 101 customers over its busy lunch period from 11:30 am to 1:30 pm. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 18 customers are in process at any point in time. What is the average amount of time (in minute) that a customer spends in process? Ill give u 20 points Which of the following statements is the most correct?a. A borrower's long-term debt typically has a higher interest rate than its short-term debt.b. Debt that is infrequently traded (less liquid) typically has a lower interest rate than similar but highly traded debt.c. Variable (floating) rate debt is more prevalent when long-term borrowing rates are low.d. Variable (floating) rate debt should never be used by healthcare providers because it is too risky.e. Fixed interest rate debt is more prevalent when long-term borrowing rates are high. how do you feel about the looting that took place in SA which of the following would a be a producer Below is budgeted production and sales information for Best Dog Collar Company for the month of December: Product CCC Product DDD Estimated beginning inventory 30,000 units 18,000 units Desired ending inventory 32,000 units 15,000 units Region I, anticipated sales 320,000 units 500,000 units Region II, anticipated sales 190,000 units 130,000 units The unit selling price for product CCC is $5 and for product DDD is $12. Budgeted sales for the month are: a. $9,692,000 b. $8,680,000 c. $10,110,,000 d. $9,010,000 You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.62 and the total portfolio is exactly as risky as the market, what must the beta be for the other stock in your portfolio please help me with this Dylan has a coworker who is always showing up late and then not finishing his work on time. It's frustrating the other members of the team. What can he do that might help the situation? a) Complain about the coworker to other team members b) Ask his coworker if he understands his job responsibilities c) Tell his boss that the coworker is slacking off d) Complete his coworker's work for him need help with number 8