1. Paulina wants to find the width, AB, of a river. She walks along the edge of the river 200 ft and marks point C. Then she walks 60 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 Paulina conclude that ΔABC and ΔEDC are similar? Why or why not? (b) Suppose DE = 40 ft. Calculate the width of the river, AB. Show all your work and round answer to the nearest tenth. Answer

Answers

Answer 1

Answer:

Step-by-step explanation:

a). In ΔABC and ΔEDC,

Since, AB and DE are parallel and AE is a transversal,

Therefore, ∠CAB ≅ ∠CED [Alternate interior angles]

m∠D = m∠B = 90°

ΔABC ~ ΔEDC [By AA property of similarity of two triangles]

b). Therefore, by the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

[tex]\frac{DC}{BC}= \frac{DE}{AB}[/tex]

[tex]\frac{60}{200}=\frac{40}{AB}[/tex]

AB = [tex]\frac{40\times 200}{60}[/tex]

     = 133.33

     ≈ 133.3 ft


Related Questions

Please help me find the length of the line!

Answers

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Please help me :)))!!!!!!

Answers

Answer:

16 × X + 3=

Step-by-step explanation:

u will get your answer

I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!

Answers

Answer:

sin C = 12/13

Step-by-step explanation:

Since this is a right triangle

Sin C = opp side / hypotenuse

sin C = 36/39

sin C = 12/13

What number is halfway between -0.5 and 2.3

Answers

Answer:

0.9

Step-by-step explanation:

In order to get halfway between -0.5 and 2.3, first, we need to take their sum:

Sum of digits

Sum =  [tex]{-0.5+2.3}[/tex]

Sum =  [tex]1.8[/tex]

Take the average of the sum

Average = [tex]\frac{1.8}{2} = 0.9[/tex]

Hence the halfway between the numbers is 0.9

Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*

Answers

Answer:

A- The mean, because the data distribution is symmetrical

Step-by-step explanation:

When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of  centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.

The measure of an angle is 112.7º. What is the measure of its supplementary angle?

Answers

Answer:

67.3

Step-by-step explanation:

Let x = unknown angle

Supplementary angles add up to equal 180

Hence 112.7 + x = 180

Solve for x

112.7 + x = 180

Subtract 112.7 from both sides

x = 67.3

An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3

teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?

Answers

Answer:

Teresa tiene 1 chocolate.

Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:

1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.

Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:

2/3 - 1/4

recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:

(4/4)*(2/3) - (3/3)*(1/4)

(a cada fracción la multiplico y divido por el denominador de la otra)

8/12 - 3/12 = (8 - 3)/12 = 5/12

Es decir, Teresa finalmente tiene 5/12 del chocolate.

Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:

1 - 5/12 = 12/12 - 5/12 = 7/12

Ella repartió 7/12 de su chocolate.

La fracción de chocolate que repartió Teresa es 7/12

How to add two fractions?

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]

That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we're provided that:

Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.

So, the total part she gave is addition of those fractions.

Total part of chocolate Teresa gave = 1/3 + 1/4

LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).

Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]

And their addition is:

[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]

Thus, the portion of the chocolate that Teresa distributed is 7/12.

Learn more about fraction addition here:

https://brainly.com/question/17544795

What is -4 square root of 12 + the square root of 75 in simplest radical form?

Answers

It’s -3 square root 3

what is 1*24 equals to

Answers

1*24= 24....

when any number is multiplied by one it gines the same no. for eg 241526×1=241526..

doesn't matter how greayer or smaller the number is....

help me friends write in copy
20 pts so don't spam ​

Answers

Answer:

ii

Step-by-step explanation:

from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y

if you solve the first pair you will have

x + y = 5

2x+2y=10

2(x + y =5)

1(2x+2y=10)

2x+2y=10

2x+2y=10--

now from this you will see that it cannot be expressed as two variables because the answer is just zero..

for the second equation it can be expressed as two variables

x - y = 8

3x-3y =16

3(x-y =8)

1(x-3y=16)

3x-3y=24

x - 3y=16

2x/2=8/2

x=4

x-y=8

4-y=8

-y=8-4

-y/-1=4/-1

y=-4...

so you see it can be expressed as two variables..

if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.

and the fourth one also cannot.

I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong

Solve: -15/2 + 5y divided by 5/2

Answers

Answer:

- 3 + 2y

Step-by-step explanation:

[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]

[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]

[tex]-3+2y[/tex]

Step-by-step explanation:

Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).

Multiplying (-15/2 + 5y) by 2/5 yields:

-3 + 2y (answer)

Divide Rs 84 in 1:2 ratio​

Answers

Answer:

Rs . 28 and Rs.56

Step-by-step explanation:

Explaination in figure

Please mark me as brainliest

If R ={(a,1),(b,2)} then which one is the inverse of the relation R?​

Answers

Answer:

R’ = {(1,a) , (2,b)}

Step-by-step explanation:

For us to get the inverse, we switch the places of the x and y variables

The x variable goes to the place of the y variable and the y variable goes to the place of the x variable

we have this as;

R’ = {(1,a) , (2,b)}

The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?

Answers

The correct option is B)

Let the fourth vertex D =(x,y)

We know that the diagonals of a parallelogram bisect each other. So, the.

What is the midpoint?

The midpoint of AC is the same as the midpoint of BD.

Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is  calculated by the formula ( 2x 1+x 2, 2y 1+y2 )

So, the midpoint of AC= Midpoint of BD

=>( 2−2+8, 23+3)=( 26+x, 27+y

=>( 6, 26)=( 26+x, 27+y)

=>6+x=6;7+y=6

=>x=0;y=−1

Hence, D=(0,−1)

Solve any question of Coordinate Geometry with.

To learn more about coordinate geometry visit:

https://brainly.com/question/18269861

#SPJ1

Please help me with this question please help me rn

Answers

Answer:

Check the explanation for the answer please. Thank you!

Step-by-step explanation:

a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.

b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.

c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!

Hope this helped!

the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function

Answers

Answer: Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.


Step 1: Determine the ordered pair

To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).

To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).

Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.

Step 2: Determine how to find slope

The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.

To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.

Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!

Step 3: Write out final answer

Now that we eliminated all the invalid options, let’s write out our final option as our answer.

Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.


Hope this helps! Comment below for more questions.

x + a = 10 . Find the vale of x if a = 10.

Answers

Answer:

x = 0

Step-by-step explanation:

a = 10

=> x + a = 10

=> x + 10 = 10

=> x = 10 - 10

=> x = 0

Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2

Answers

Answer:

[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]

Step-by-step explanation:

We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.

[tex]y-y_1= m (x-x_1)[/tex]

Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:

m= 6x₁= -1y₁= -1

Substitute the values into the formula.

[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]

Distribute the 6. Multiply each value inside the parentheses by 6.

[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]

Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.

[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]

The equation of the line in slope-intercept form is y=6x+5

Given the slope of y+2=3(x-7) and a point on the line

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

m = 3

(7, -2)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The equation given is in point-slope form.

⸻⸻⸻⸻

[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]

⸻⸻⸻⸻

The '3' is in the 'm' spot.

The y value is '-2', (y -(-2)) and the 'x' value is 7.

The point of the line is (7, -2) and the slope is 3.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

can someone please solve 3x^2+4x-7<13

Answers

Answer:

-10/3 < x < 2

so the answer is  x<-10/3 or x>2

Step-by-step explanation:

:)

This could be some example

Can someone help me I need it.

Answers

Answer:

C is the answer 3rd one...

help help help help it is little simple​

Answers

3x ² - 2x + 1 = 2x ² - 3x + 7

x ² + x - 6 = 0

(x + 3) (x - 2) = 0

x + 3 = 0   or   x - 2 = 0

x = -3   or   x = 2

I looked it up and it’s saying both

which of the following is the x-coordinate of the solution to the system shown below

2x + y = 17
x - y = 4

———————————————

(1) x = 5

(2) x = 2

(3) x = 7

(4) x = 12

thank you in advance to ANYONE who answers this question:)))

Answers

Answer is x = 7

if u plug in 7 in the second expression, we can get 7 - y = 4, isolate y and then we get 3.

Now, plug in 7 in the first equation to get 2(7) + y = 17. that results to 14 + y = 17. isolate y again and then thats also 3.


so:
x = 7
y = 3

Answer:

Step-by-step explanation:

Decrease £180 by 12.5%​

Answers

Answer:

£ 157.5

Step-by-step explanation:

12.5  × 180 = 22.5

100

180 - 22.5 = 157.5

I hope this helps.

i need help and nobody's helping me :(​

Answers

Because the shapes are similar find 1 side of the small shape and 1 side of the big shape that are in the same place/that are similar to each other.

The bottom part of both shapes have a number so let’s use those.

The numbers (in ratio form) are 8:24

The GCF (greatest common factor) that goes into both numbers is 8.

So divide each side by 8 (8 divided by 8 and 24 divided by 8)

Now you have 1:3. (Again, in ratio form)

This is your scale factor.

So in the top box put 1 and the bottom box put 3

SCALE FACTOR 1:3

find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1

Answers

Answer:

C

Step-by-step explanation:

y=-x^2+1. y is a decreasing function as x^2 is an increasing function

A line of best fit must pass through all data points of a graph.
True or False?

Answers

The answer to this question is false

(-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)

Answers

Answer:

\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4

Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?

Answers

Answer:

Kristi will pay $22.77 for the shirt.

Step-by-step explanation:

First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.

Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.

Can anyone assist me with this problem ?

Answers

Answer,

C

Step-by-step explanation:

I had the same question 2 days ago

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