Are ΔSUT and ΔXWV similar? If so, state the reason and the similarity statement.


Question 4 options:

A)

Yes; SSS; ΔSUT ∼ ΔXWV

B)

Yes; SAS; ΔSUT ∼ ΔXWV

C)

Yes; SSS; ΔTSU ∼ ΔXWV

D)

The triangles aren't similar.


Are SUT And XWV Similar? If So, State The Reason And The Similarity Statement.Question 4 Options:A) Yes;

Answers

Answer 1

Answer:

Yes (SSS) Triangle SUT is congruent to triangle XWV

Step-by-step explanation:

15/10 = 1.5

9/6 = 1.5

12/8 = 1.5

Answer 2

In ΔSUT and ΔXWV the given sides are in proportion. Therefore, option A is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given two triangles are ΔSUT and ΔXWV.

From the triangle SUT, SU=10, UT=8 and ST=6

From the triangle XWV, VW=12, XW=15 and VX=9

Now, SU/XW = UT/VW = ST/VX

10/15 = 8/12 = 6/9

2/3 = 2/3 = 2/3

The given sides are in proportion.

So, by SSS similarity ΔSUT∼ΔXWV

Therefore, option A is the correct answer.

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Related Questions

To serve 1 person at a local restaurant it takes 10 minutes. To serve 5 people it takes 18 minutes. Using the points (1, 10) and (5, 18), find the slope between the two points. The formula for slope is m =y2 - y1/x2 - x1
(a) m=2
(b) m= -2
(c) m= -5

Answers

9514 1404 393

Answer:

  (a)  m = 2

Step-by-step explanation:

The formula tells you the slope is ...

  m = (18 -10)/(5 -1) = 8/4

  m = 2

A car rental company charges a daily fee of $12.95 on all rental cars.
What is the cost for 3 days?
A
$25.90
B
$36.75
С
$38.85
D
$45.23

Answers

Answer:

C

Step-by-step explanation:

Sorry if I’m wrong but I think I’m right

Answer:

answer is C

Step-by-step explanation:

it's just 12.95 times 3

The value of an investment property after t years can be found using the formula V =C (1 + r)^2, where V is the current
value of the property, C is the original investment,
and r is the annual rate of appreciation.
a. Solve the formula for r.
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.

Answers

Answer:

0.871

Step-by-step explanation:

a. Solve the formula for r.

V = C (1 + r)²

dividing both sides by C, we have

V/C = (1 + r)²

(1 + r)² = V/C

taking square root of both sides, we have

√(1 + r)² = √(V/C)

1 + r = √(V/C)

r = √(V/C) - 1

b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same

rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.

Since r  = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000

Substituting the values of the variables into the equation for r, we have

r  = √($ 175,000/$ 50,000) - 1

r  = √3.5 - 1

r = 1.871 - 1

r = 0.8708

r ≅ 0.871

What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

Combination without repetition
Permutation without repetition
Permutation with repetition
Combination with repetition

Answers

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

The problem is of the type permutation without repetition.

What is permutation and combination?

Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.

What will use in the given scenario?

In the given scenario, the order of cards is a priority therefore, permutation will use.

Also, the cards are not repeating in the scenario.

Therefore, the sequence is permutation without repetition.

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jose runs 6 miles in 55 minutes. at the same rate, how many miles would he run in 44 minutes

Answers

Answer:

4.8 miles

Step-by-step explanation:

have a good day!

Answer:

4.8 Miles

Step-by-step explanation:

All rectangles are parallelograms. Are all parallelograms
rectangles? Explain.

Answers

Answer: No

Step-by-step explanation: a rectangle can be a parallelogram because it qualifies to be a parallelogram however a parallelogram can’t be a rectangle because a rectangle has all 90 degree angles and that opposite sides can be equal and parallelograms come in different forms

pls help me ☺️!!!!!!!​

Answers

answer:
4 units^2

step-by-step explanation:
a = 1/2bh
a = 1/2(2)(4)
a = 1(4)
a = 4

Please help, I will mark you brainiest, thank you!!

Answers

8x + 30=110
110-30=80/8=10
Your answer is x = 10

Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?

Answers

Answer:

4

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

Complete the sentence. __is 6 times as much as 2.​

Answers

Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

1/3 is 6 times as much as 2

Help pls help me with this question

Answers

Answer:

E 16 cm

5cm + 5cm = 10cm

3cm + 3cm = 6cm

10cm + 6cm

= 16 cm

5×3=15 so 15 is your answer

Popcorn at the Movies - Exit Slip

You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.

Answers

i am so sorry, but the picture you uploaded is blank, please reach out so i can view it :)

Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive brainliest (50 pts)

Answers

Answer:

EB = 10

Step-by-step explanation:

For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:

CE * ED = AE * EB

(This is applied specifically to this problem)

We can substitute the values given,

5 * (x - 4) = 3 * x

simplify,

5x - 20 = 3x

and solve.

2x - 20 = 0

2x = 20

x = 10

Since the value of EB is x, EB = 10.

Solve the equation.

3(x−9)=30

Answers

Answer:

19

Step-by-step explanation:

3(x-9)= 3x-27

3x-27=30

3x=57

x=19

the driving distance fom pongola to piey retief alongN2is 105km if a taxi driver at an average speed of 80KM /H calculate the time per minutes​

Answers

Answer:

78.75min

Step-by-step explanation:

t=S/v

105km/80km/hr

=1.3125hr

1.3125hr =78.75min

HELP ME !!


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Is that hit Artist and rapper dababy?????

Answer:

<1=62

<2=83

<3=35 this is the answer of this question

1. In the diagram below which expression represents x, the measure of the exterior angle shown?

Answers

Answer:

a) a + b

Step-by-step explanation:

The value of the exterior angle x will be (a+b).

What is an exterior angle?

The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.

The exterior angle is the sum of the two opposite internal angles of any figure.

The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.

Therefore the value of the exterior angle x will be (a+b).

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please help will give brainliest

Answers

Answer:

c

Step-by-step explanation:

10 times 8 = 80

80 times 3 = 240

Answer:

A

Step-by-step explanation:

length times width times height  will give you volume

Please help giving brainliest please

Answers

Answer:

$87025

Step-by-step explanation:

Net worth is assests minus liabilities

Need help ASAP!! Plssss

Answers

Answer: b that is too easy

Step-by-step explanation:

I believe it (A) if it wrong sorry
Explanation: cause 2 plus 4 times 5 seem like a reasonable answer because 2 and 4 are in the same width so u have to add the times length which is 5

Find the zeros of the following function

Answers

Answer:

15 and -20

Step-by-step explanation:

The zeros/ roots are the x intercepts of the graph

A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?

Answers

Answer:

Step-by-step explanation:

Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.

1. The retail store should not change its staffing arrangement.

2. Changing the staffing arrangement may not favor the retail store.

Data and Calculations:

                                             8:00 am &   12:00 pm &   4:00 pm &   8:00 pm &

                                              12:00 pm       4:00 pm      8:00 pm      midnight

Expected % of customers        32%             21%              35%                12%

Actual number of customers  214               198              276                  134

Total Number of customers = 822 (214 + 198 + 276 + 134)

Actual % of customers            26%             24%             34%                 16%

Difference between expected percentage of

 customers and actual           6%                3%                1%                  -4%

Variation                                 0.36%           0.09%         0.01%            0.16%

Sum of variation = 0.62%

Standard Deviation = 0.787

Thus, based on the standard deviation, the store should not change its staffing.

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he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches

Answers

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

use demoivre's theorem to evaluate the expression (3(cos cos(5pie/6)+isin(5pie/y))))^4 write the answer in rectangular form.

Answers

By DeMoivre's theorem,

(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))

… = 81 (cos(20π/6) + i sin(20π/6))

… = 81 (cos(10π/3) + i sin(10π/3))

… = 81 (cos(-2π/3) + i sin(-2π/3))

… = 81 (cos(2π/3) - i sin(2π/3))

… = 81 (-1/2 + √3/2 i )

… = -81/2 + 81√3/2 i

The surface area of a cube is 6 square centimeters. What is its volume, in cubic
centimeters?

Answers

Answer:

1 cubic centimeter is the volume

Step-by-step explanation:

the surface area is 6

6 = 6a^2

1 = a^2

1 = a

L  * W * H = ?

1 x 1 x 1 = 1

1 is the volume

have a good day!

-4/3 x + (-1) =y what is the slope of this line?

Answers

Answer: y= -4 divided by 3 • x (-1)

Step-by-step explanation:

✨photo math✨

free branliest! come come comeeee get it!

Answers

Answer:

thanks i appreciate it                                                                        

Answer:

Thank you Do you Have a question Or?

Which is closest to the height of a pine tree?

Answers

First off dont open that url and second the answer would be around 25-30 feet

you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

Answers

Times 42.20 by 0.15 to calculate the tip, the result of that would be £6.33

Answer:

$6.33

Step-by-step explanation:

42.40 x 0.15 = $6.33

The first year Eleanor organized a fund-raising event,
she invited 30 people. For each of the next 5 years,
she invited double the number of people she had
invited the previous year. If f(n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f?

Answers

I think it’s /28
Explanation
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