1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and marks point C. Then she walks 80 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location, as shown.













(a) Can Wendy conclude that ΔABC and ΔEDC are similar? Why or why not?
(b) Suppose DE = 50 ft. Calculate the width of the river, AB. Show all your work.

Answer:

Answers

Answer 1

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

How to solve the triangle?

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

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Related Questions

QS is a midsegment of △PRT.
If PT=u+6 and QS=u, what is the value of u?

Answers

Answer:

6

Step-by-step explanation:

PT = 2QS

u+6 = 2u

2u-u = 6

u=6

what is the length of side BC in the right triangle

A.225
B.21
C.3
D.15
E.63
F.
[tex] \sqrt{63} [/tex]


Answers

Answer: I’m guessing it’s e but I might be wrong .

Step-by-step explanation:

Answer: bro it quince (15 in ingles)

Step-by-step explanation:

A boat travels 160 miles in 5 hours. What is its speed in miles per minute?

—> Please show your work!

Answers

Step-by-step explanation:

distance = 160mile

time =5 hour or 5×60=300 minutes

speed =distance /time

v=160/300

v=0.5334miles per minute

Alexandra has a stand in the marketplace where she sells ground cumin. She has a fixed amount of weekly expenses, and she sells her cumin for \$7.20$7.20dollar sign, 7, point, 20 per kilogram. If she sells 909090 kilograms of cumin, her weekly net profit is \$414$414dollar sign, 414.

Answers

Answer:

Alexandra's weekly expenses is $234

Step-by-step explanation:

Selling price of 1 kg cumin = $7.20

She sells amount of cumin = 20 kg

Selling price of 90 kg cumin = 90 \times 7.20

Selling price of 90 kg cumin =648

We are given that his weekly profit is $414

We are supposed to find his weekly expense

So, Expense = SP - Profit

Expense = 648-414

Expense=$234

Hence Alexandra's weekly expenses is $234

The radius of a circle is 11 inches. Find the diameter.

Answers

Answer:

22 inches

Step-by-step explanation:

Diameter=2×Radius

Radius=11

Diameter=11×2=22

Julie is wrapping presents. One present has
dimensions 10 cm by 10 cm by 10 cm and the other
present has dimensions 70 mm by 90 mm by 150
mm?
Which present will take more wrapping paper?

Answers

Answer:

The present with dimensions 70 mm by 90 mm by 150 mm will take more wrapping paper.

Step-by-step explanation:

70 mm = 7 cm, 90 mm = 9 cm,

150 mm = 15 cm. From this:

[tex]2(7)(9) + 2(7)(15) + 2(9)(15) = 126 + 210 + 270 = 606[/tex]

[tex]6( {10}^{2} ) = 6(100) = 600[/tex]

A helicopter hovers 1300 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 47°. How far off the​ coast, to the nearest​ foot, is the​ island?

Answers

Answer:

1.212 ft

Step-by-step explanation:

[tex] \tan(47) = \frac{1300}{d} \\ \\ d = \frac{1300}{ \tan(47) } \\ \\ d = 1.212 \\ \\ [/tex]

ANSWER: 1.212 ft

Atlanta, GA has a CPI of 168. Seattle, WA has a CPI of 204. How does the purchasing power of an Atlanta resident earning a $32,800 salary compare to the purchasing power of a Seattle resident earning a $46,400 salary? a. The Atlanta resident has $34. 46/CPI more than the Seattle resident. B. The Atlanta resident has $83. 20/CPI more than the Seattle resident. C. The Seattle resident has $48. 74/CPI more than the Atlanta resident. D. The Seattle resident has $32. 21/CPI more than the Atlanta resident. Please select the best answer from the choices provided A B C D.

Answers

Answer: D, The Seattle resident has 32.21/CPI more than the Atlanta resident.

Step-by-step explanation: This can be solved by figuring out the price per CPI.

Alex has a principal of $2,950 that earns 4% annual interest. What is Alex's balance?

Answers

your answer is 900.00

your welcome

have a good day or night

Answer:

$3068 after 1 year

Step-by-step explanation:

Small cubes of edge length frac{1}{4}
4
1

inch will be packed into the rectangular prism.


How many small cubes are needed to completely fill this rectangular prism?

small cubes

Answers

Answer:

she will need 286 cubs

Step-by-step explanation:

5.25x4x3.25=71.5

71.5 divided by 0.25=286

says find the measure of the indicated angle!! pls help!!! marking brainliest and i have to show work!!

Answers

answer:

sin theta=18/21

sin theta ^-1 (18/21)

=58.9972808661

therefore, angle ? = 59°

Brady and 3 Friends went to lunch at Mazzio's Pizza. Their meal cost $32, they left a 15% tip. How much was the total Bill, including tip?

Answers

Answer:

(32/100) x 115 = $36.80

Step-by-step explanation:

Not much to explain...

Start time 7:30 pm end time 9:55 pm elapsed time:

Answers

Answer:

this would be 2 hours and 25 minutes friend :)

Step-by-step explanation:

Please rate 5 star and give brainlest! have an amazing day/night .

On Monday, your bank account balance was -12.58. Because you didn’t realize this, you wrote a check for $ 30.72 for groceries?? What is the new balance in your checking account?

Answers

Answer:

43.30

Step-by-step explanation:

hope this helped ;)

What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin?
H’(–6, –2)
H’(6, –2)
H’(–6, 2)
H’(6, 2)

Answers

Answer:

a) H' (-6, -2)

Step-by-step explanation:

For 90° rotation, coordinates of a point change like this

(x, y) ---> (y, -x)

So, for our point

H(2, –6)  ---> H' (-6, -2),

Answer:

its A

Step-by-step explanation:

took the test

1. Prove the identity
a. tanθ cos θ

Answers

Answer:

[tex] \sin0[/tex]

Step-by-step explanation:

[tex] \tan0 \cos0 = \frac{ \sin0 }{ \cos0} \cos0 \\ \\ [/tex]

Therefore,

[tex] \tan0 \cos0 \: = \sin0 [/tex]

Your car is worth $20,000 but it depreciates at a rate of
12% each year.
Write an equation showing how much your car is worth
each year.
A)f(x) = 20,000 - 12x
B)f(x) = 20,000 - 1.12*
C)f(x) = 20,000 -12%
D)f(x) = 20,000 - 0.88%

Answers

Answer:

D

Step-by-step explanation:

since the car value is decreasing by 12% each year, just take the original  amount and multiply by 88% to get the value of the car for the next year, so on and so forth

2. Roberto has a wealthy uncle who gives him two options to save money in a bank
account to save for a PlayStation 4, which will cost $518.
Option 1: Roberto's uncle deposits $100 in the first month and $50 for each additional month.
Option 2: Roberto's uncle deposits $5 for the first month and will double the about in the
account each month.
Which option above can be written as a geometric sequence?
A. Option 1
B. Option 2
C. Both Option 1 and 2
D. Neither Option 1 or 2

Answers

Answer:

  B.  Option 2 (only)

Step-by-step explanation:

A geometric sequence is a sequence of terms that have a common ratio.

Option 1

The deposits are ...

  100, 50, 50, 50, ...

The ratios of terms of this sequence are ...

  1/2, 1, 1, 1

So, the ratio is not constant, and the sequence is not geometric.

__

Option 2

The deposits are ...

  5, 10, 20, 40, ...

The ratios of terms of this sequence are ...

  10/5 = 2, 20/10 = 2, 40/20 = 2, ...

The ratio is constant, so the sequence of deposits for Option 2 is geometric.

Adam graphs a quadratic function. The vertex of the parabola he graphs is located at (5, 0). What is the axis of symmetry

Answers

Step-by-step explanation:

the vertex is on the axis of symmetry so the axis of symmetry would be x=5

Answer:

the axis of symmetry is x=5

concert the scientific notation into a standard form number. 1.23* 10^-5

Answers

Answer:

0.0000123

Step-by-step explanation:

That " -5 " exponent requires that we move the decimal place 5 units to the left, which results in:

0.0000123

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer: it think it’s the third one

Step-by-step explanation:

The following represents a graph of the function h(x). Evaluate for h(-2).

Answers

Answer:

2 is the answer of the function h(-2) evaluated

Step-by-step explanation:

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the​ range, mean,​ variance, and standard deviation of the population data set. ​, ​, ​, ​, ​, ​, ​, ​, ​, The range is 13 13. ​(Simplify your​ answer.) The population mean is nothing. ​(Simplify your answer. Round to the nearest tenth as​ needed.) The population variance is nothing. ​(Simplify your answer. Round to the nearest hundredth as​ needed.) The population standard deviation is

Answers

Answer:
The range is: 13. The population mean is: 8.5. The population variance is: 15.85. The population standard deviation is: 3.9812.
Step-by-step explanation:
The range: 15 - 2 = 13
The population mean is:
Mean = ( 2 + 9 + 15 + 5 + 14 + 8 + 11 + 7 + 4 + 10 ) / 10 = 8.5
The population variance ( S² or Sigma² ):
S ² = 1/10 · ( ( 2 - 8.5 )² + ( 9 - 8.5 )² + ( 15 - 8.5 )² + ( 5 - 8.5 )² + ( 14 - 8.5 )² + ( 8 - 8.5 )² + ( 11 - 8.5 )² + ( 7 - 8.5 )² + ( 4 - 8.5 )² + ( 10 - 8.5 )² )
S ² = 15.85
The population standard deviation:
S = √(S²) = √15.85 = 3.9812

The value of range = 13

The value of mean = 8.4

The value of variance = 23.6

The value of  standard deviation = 4.86

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Population data set:

2​, 10​, 15​, 2​, 12​, 6​, 14​, 10​, 3​, 10.

Range:

= Highest - Lowest

= 15 - 2

= 13

Now,

Mean.

= (2 + 2 + 3 + 6 + 10 + 10 + 10 + 12 + 14 + 15) /  10
= 84/10

= 8.4

Now,

S = Sum of all (x - Mean)²

S = (2 - 8.4)² + (2 - 8.4)² + (3 - 8.4)² + (6 - 8.4)²+ (10 - 8.4)² + (10 - 8.4)² + (10 - 8.4)² + (12 - 8.4)² + (14 - 8.4)² + (15 - 8.4)²

S = 212.4

n = 10

n - 1 = 9

So,

Variance.

S² = S/(n - 1)

= 212.4/9

= 23.6

Now,

Standard deviation = √S²

So,

= √23.6

= 4.86

Thus,

Range = 13

Mean = 8.4

Variance = 23.6

Standard deviation = 4.86

Learn more about mean here:

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The complete question:

The numbers of regular season win for 10 football teams in a given season are given below.

Determine the​ range, mean,​variance, and standard deviation of the population data set. 2​, 10​, 15​, 2​, 12​, 6​, 14​, 10​, 3​, 10.

The range is 13. ​(Simplify your​ answer.)

The population mean is 8.4. ​(Simplify your answer.

Round to the nearest tenth as​ needed.)

The population variance is nothing. ​(Simplify your answer.

Round to the nearest hundredth as​ needed.)

The population standard deviation is nothing.

Please help greatly appreciated

Answers

The answer is: 190.091

Answer:

Today: Monday, 12 October 2020

Hour: 05.29 WIB (in Indonesian)

_________________________

area of semicircle

πr²/2

= 3.142 × 11²/2

= 3.142 × 121/2

= 380.182/2

= 190.091 cm²

A cheese farmer distributes 672 ounces of
cheese each day. The cheese is packaged
in 16-ounce containers. Find the number
of containers of cheese distributed each
day by solving the equation 16c = 672.

Answers

Answer:

there are 42 containers

What is the measure of angle x?

Answers

55
Explanation: the triangle is equal to 180, 35 plus 90 is 125 and 180-125= 55.

Answer:

B) 55°

Step-by-step explanation:

The ∑ of all interior angles of a triangle is 180°.

When you see a square in a angle (as seen in the bottom left of the triangle), it means that it is a right angle, or 90° in measurement.

Set the equation:

180 = x + 90 + 35

First, combine like terms:

180 = x + (90 + 35)

180 = x + 125

Next, subtract 125 from both sides of the equation to isolate the x:

180 (-125) = x + 125 (-125)

x = 180 - 125

x = 55

55°, or B) is your answer.

~

At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ralph Redding drives his car at a constant rate of 170 miles per hour. How long will it take before Ralph gains 2 laps in relation to Lou?​

Answers

Answer:

24 minutes

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.

We have to find the time in which Ralph will gain 2 laps i.e. 2 [tex]\times[/tex] 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in [tex]\frac{60}{10} = 6\ minutes[/tex]

4 miles will be gained in 6 [tex]\times[/tex] 4 = 24 minutes

The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally. What is the new surface area? Enter your answer as a decimal in the box. ft² Please help! tysm ♥

Answers

Answer = 192.5 ft2

Surface Area of original figure= 577.49 ft2

Surface Area of new figure
= 1/3 x 577.49 = 192.497
= 192.5 ft2

Detailed Solution is in the picture below

The new surface area is 198.79 ft².

What is Surface Area?

An object's surface area is the total area that all of its surfaces occupy. Many 3D shapes in geometry have various surface areas, which are simply calculable using the formulas.

As per the given diagram:

All the dimensions are mentioned

new surface area is exactly (1/3) of original surface area.

Original surface area = (5 × 6.1) + (5 × 10) + (9.8 × 6.1) + (4.9 × 6.1) + (10 × 5) + (14.8 × 4.9) +  (10 × 5) + (14.8 × 4.9) + (14.8 × 6.1) + (14.9 × 6.1)

Original surface area = 30.5 + 50 + 59.78 + 29.89 + 50 + 72.52 + 50 + 72.52 + 90.28 + 90.89

original surface area = 596.38 ft²

Therefore,

New surface area = (1/3) of original surface area

= (1/3) × 596.38

= 198.79 ft²

Hence, the new surface area is 198.79 ft².

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What is the answer to this and show the work please.

Answers

Which method? There is the substitution method, elimination method, and comparison method

Help pls ❤️❤️❤️ I need help lol

Answers

Answer:

It is impossible to write an 9dd number with even digits.

Just use logic

How can an even numbers pair and become an odd number

Answer:

2/2

Step-by-step explanation:

2/2 simplified equals 1.  The 2s are even digits, but when simplfied, they give you 1 (an odd number).

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