Triangle similarity problem

Triangle Similarity Problem

Answers

Answer 1

Answer:

ST = 16

Step-by-step explanation:

The similar triangles are given as triangle PQR similar to triangle STU.

That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.

[tex] \dfrac{ST}{PQ} = \dfrac{SU}{PR} [/tex]

[tex] \dfrac{5x + 1}{36} = \dfrac{11x - 5}{63} [/tex]

Multiply both sides by 9.

[tex] \dfrac{5x + 1}{4} = \dfrac{11x - 5}{7} [/tex]

Cross multiply.

[tex] 7(5x + 1) = 4(11x - 5) [/tex]

Distribute on both sides.

35x + 7 = 44x - 20

Subtract 44x from both sides.

-9x + 7 = -20

Subtract 7 from both sides.

-9x = -27

Divide both sides by -9.

x = 3

ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16

Answer: ST = 16


Related Questions

What makes a function of a discrete variable a candidate for a discrete random variable distribution? What about the counterpart of this candidacy in the case of a continuous variable?

Answers

Answer and Step-by-step explanation:

A random variable is a variable having numerical values determined by the outcomes of the experiment. A random variable may have a finite number or an infinite sequence of values said to be discrete.

A random variable that describes the number of automobiles sold at a dealership would be discrete one day. Simultaneously, a random variable represents the weight of a person in a kilogram or pounds.

The probability distribution of discrete random variable x is each possible value of x and the probability that x takes amount in one trial of the experiment.

The probability distribution of the random variable contains the following properties:

1- Each probability must be between 0 and 1.

0 ≤ p(x) ≤ 1

2- The sum of all probabilities is equal to 1.

Ʃp(x) = 1

A continuous random variable may assume any value from data. The continuous random variable takes costs that vary within one or more intervals. And it has a cumulative distribution function (CDF) that is absolutely continuous.

The random variable has an infinite number of possible values, which have zero probability. The range of this type of discount can have a nonzero chance.

The probability distribution of the random variable is described by probability density, where the probability can be calculated by taking the area under the curve.

Is x+5 a factor of (x^3+8x^2-3x+16)?

Answers

No, x+5 isn’t a factor because remainder equals 106

What is the circumference of a circle with a radius of 7 mm?​

Answers

Answer:

8 = 4 +$

Step-by-step explanation:

please help asap, will mark brainliest

Answers

Answer:

D. -3

Step-by-step explanation:

The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis. There are several ways to find the y-intercept of an equation, depending on the starting information you have.

How to find the Y-Intercept from the Slope and Point.

Write down the slope and point. The slope or "rise over run" is a single number that tells you how steep the line is. This type of problem also gives you the (x, y) coordinate of one point along the graph. Skip to the other methods below if you don't have both these pieces of information.

Example 1: A straight line with slope 2 contains the point (-3,4). Find the y-intercept of this line using the steps below.

+ Evaluate 5 to the second power + (16 - 14 ÷ 2)​

Answers

Answer: 34

Step-by-step explanation:

I looked it up on google

PLATO USERS ONLY

If 15 books cost $90, what is the unit price?
A
$5 per book

B
$6 per book

C
$9 per book

D
$10 per book

Answers

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Need help ASAP trigonometry

Answers

Answer: 11: tan Z = 7/24. tan X = 24/7

12: 23.1324 round to whatever

13: 14.5409 feet

Step-by-step explanation:

Dude trust me

Joe ran 5 ½ miles. George ran 3 miles. How
many times farther did Joe run than George?

Answers

Answer:

2.5 or 2 1/2

Step-by-step explanation:

Answer:

2.5 miles or 2 1/2 miles

Step-by-step explanation:

you subtract 5 1/2 by 3 n you get 2 1/2 so thats how many times joe ran further than george

abdul received 4/5 of the 75 votes for class secretary. how many votes did he receive?

Answers

Answer:

60

Step-by-step explanation:

first you divide 75 by 5

then you multiply 15 by 4 to get your answer

It costs $5.50 per hour to rent a pair of ice skates for the first 2 hours. After 2 hours, the rental cost decreases to $2.50 per hour. Using the table you created for the last problem, calculate the cost to rent a pair of ice skates for 4 hours.

Answers

Answer: It would cost $16 dollars for 4hrs

Step-by-step explanation:

1. First find the value of the first two hours so $5.50+$5.50=$11

2. Then calculate how much for the last two hours, so $2.50+$2.50=$5

3. Combine the two $11+$5=$16 for 4hrs

A class of 63 students is going on a field trip. They will take 9 buses. Each bus will have the same number of students. How many students will be on each bus? ​

Answers

Answer:

There will be 7 students on each bus.

Step-by-step explanation:

If the class of 63 students is divided into 9 buses with the same number of students traveling in each one, to determine the number of students traveling in each bus it is necessary to perform the following mathematical calculation:

63/9 = X

7 = X

Thus, in each bus 7 students will travel, and in this way all buses will carry the same number of students.

Answer:

9

Step-by-step explanation:

36 divided by 4 = 9

:)))

it cost 11 dollars for 15 granola bars

what is the unit price, in dollars per granola bar, rounded to the nearest hundredth

Answers

Answer:

$1.36 per granola bar

Step-by-step explanation:

15 divided by 11 = 1.3636364

Must round to the nearest hundredths place.

Answer:

$0.73 per granola bar.

Step-by-step explanation:

Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What was the total number of students who said they liked dogs best?

Answers

Answer: 54 liked best

Step-by-step explanation: None

Answer:

54

Step-by-step explanation:

Which is the graph of y = cos(x) + 3?

Answers

Hi, I hope this helps !

Answer:

Graph B on Edg

Step-by-step explanation:

Starts at 4 goes down to 2 then back up to 4

Somebody can help me 1, 2, and 3 please

Answers

Answer:

1: 3y

2: 6x-2

3:lk

Step-by-step explanation:

N is a product of two primes. N is prime, composite or special number?

Answers

Answer:

special number

Step-by-step explanation:

Answer:

The answer is a composite number Step-by-step explanation: If you multiply 3x3, that is 9, which is composite. Even if you go forever trying to multiply a prime number by a prime number, it will always be composite.

Part B Use the distance between the rose bushes, which are located at A(−5, 4), B(3, 4), and C(3, –5), to explain where a fourth rose bush should be placed so that it forms a rectangle with the other three bushes.

Answers

Answer:

(5,-5)

Step-by-step explanation:

If you graph it, then this is the final coordinates

Mark created the equation y = 6x-2 for a table and wondered what the output would be for x= 3 Solve for the output. Show your work.​

Answers

Answer:

16

Step-by-step explanation:

y=6(3)-2

y=18-2

y=16

Can someone help me on this question please?

Answers

Answer:

XQ = QY

Step-by-step explanation:

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Bisectors.

Bisectors divide lines into two equal parts, so

QX = QY

Erik Red is a player for the Arizona Snowflakes in the National Foosball League. The league has 25 teams, each with 73 players. Every week, 8 players per team are chosen for random drug testing.
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?

Answers

Answer:

8/73

0.10959

21 players

Step-by-step explanation:

Given that:

Number of teams = 25

Number of players per team = 73

Number of players chosen for drug testing = 8

A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?

Number chosen per team / number of players per team

8 / 73 = 0.10959

B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?

P( being chosen at least 5 times)

USing binomial. Distribution

P(X =x) = nCr * p^x * (1-p)^n-x

To save computation time, we can use the binomial distribution calculator :

P(x≥5):p(x = 5) + p(x = 6) + p(x =7) + p(x = 8) +. P(x = 9) = 0.00136

C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?

Number who are chosen atleast 4 times :

P(x ≥ 4) = p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x = 8) +. P(x =9) = 0.0115

P(x ≥ 4) * number of players per team * nunber of teams in league

0.0115 * 73 * 25 = 20.9875

= 21 players

D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?

The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Age 36 39 48 53 58
Bone Density 358 351 330 325 314
Table

Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.

Answers

Answer:

-1.973

Step-by-step explanation:

Given the data :

Age 36 39 48 53 58

Bone Density 358 351 330 325 314

Equation of regression line is in the form:

yˆ=b0+b1x

Where y = predicted variable ;

b0 = intercept ; b1 = slope or gradient ; x = predictor variable

Using The correlation Coefficient calculator :

The regression equation obtained is :

ŷ = -1.97316X + 427.94399

From the equation ;

The slope or gradient (b1) = - 1.97316

Hence, estimated slope to 3 decimal places is : - 1.973

I need help. Thanks!

Answers

Answer:

Step-by-step explanation:

geometry!! can someone help me with #23 please? it would mean a lot thanks :)

Answers

Answer:

yes, they are parallel lines in #23

Step-by-step explanation:

the slope of both lines is -1

Find the coordinates of the midpoint for the line with endpoints; A(-1, 5) and B(2, -3). Use the midpoint formula.

Answers

Answer:

(0.5, 1)

Step-by-step explanation:

The midpoint formula says that the midpoint between two points (a, b) and (c, d) is:

[tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Here, a = -1, b = 5, c = 2, and d = -3, so the midpoint is:

[tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

[tex](\frac{-1+2}{2},\frac{5-3}{2})=(\frac{1}{2} ,\frac{2}{2} )=(0.5,1)[/tex]

The answer is thus (0.5, 1).

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

A and C represent functions. i can tell because, the line does not it the same point twice vertically.
A and C because they pass the Vertical Line Test. If you view the coordinates in a table, the domains doesn’t repeat so they’re functions.

Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. How much money will 21 clients bring in?

Answers

Answer:

$3,500

Step-by-step explanation:

500:3

3x7=21

500x7=3,500

$3,500 for 21 cilents

Answer:

3,500 is the answer of this question

URGENT!!!!..........

Answers

angle 1 is 105 degrees

Answer:

105 degrees

Step-by-step explanation:

l and m are parralel and are strait lines 180 degrees

angle 6 is corresponding to angle 2 so angle 2 is also 75 degrees

180 minus 75 equals 105 degrees

use the substitution method to solve the system of equations.
x+y=11
-x=-y-9

Answers

Answer:

Like you said, we need to use substitution to solve for y.

[tex]x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10[/tex]

Now that we've solved for y, we can plug in the number we got into one of the original equations. (You can choose either equation, but I will use the first one.)

[tex]x + 10 = 11\\\\x = 1[/tex]

Now we have the solution of this system.

[tex](1, 10)[/tex]

Write 2 fractions equivalent to 7/12

Answers

Answer:

14/24 And 21/36

Step-by-step explanation:

Just multiply the fractions by any number. In this case 2 and 3.

5(4 • 3 + 3 • 4)=
480
300
120

Answers

120. Hope this helps have a good day.

Answer:

Step-by-step explanation:

Our given equation is 5 (4 × 3 + 3 × 4)

Using The Order of Operations (AKA): PEMDAS, we need to solve this.

The "P" stands for parentheses. We do have them, so we need to solve the operations inside of them.

We don't have any parentheses inside.

The "E" stands for exponents. We don't have any, so we need to move on.

The "M" stands for multiplication. We have two multiplication symbols, so we need to solve them.

1.  5 (4 × 3 + 3 × 4)    

2.  5 (12 + 3 × 4)

3.  5 (12 + 12)

The "D" stands for division. We don't have any of them, so we need to move on.

The "A" stands for addition. We have one of them, so we need to solve.

4.  5 (12 + 12)

5.  5 × 24

Now that we only have the operation 5 × 24, we can go ahead and solve.

6.  5 × 24 = 120

So now we know that when using The Order of Operations to solve the equation: 5 (4 × 3 + 3 × 4) results in a 120.

Remember this; This is The Order of Operations/ PEMDAS expression:

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

Feel free to give brainliest.

Have an amazing day!

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