Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?

Answers

Answer 1

Answer:

5.3 ft

Step-by-step explanation:

Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.


Related Questions

f(-x)=3x^2+4x-4

find f(-x)

Answers

My friends the answer is F (-X) = 0

Pre college need help

Answers

Answer:

Yes

Step-by-step explanation:

Again substitute the values in and see if they give the same value or not

expand and simplify (3x-2)2

Answers

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)² = (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

How to solve this with solution

Answers

Step-by-step explanation:

nasa picture po yunv sagot

#HOPE IT HELPS

Let p=x^2+6. Which equation is equivalent to (x^2 + 6)^2 - 21 = 4x^2 + 24 in terms of p?​

Answers

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2  - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

:)

I need help on the "the slopes are" part on these 2 plz help

Answers

Answer:

Negative reciprocals

6/11 = q/3


Pls help me!

Answers

q=18/11

Step by step:

Times both sides by 3 to cancel out the 1/3.

6/11(3)=q

18/11=q

geomtry plz help 10 points

Answers

Answer:

22.3<x<27.6

Step-by-step explanation:

X=greater than a number but less than another

22.3<27.6

Knowing that we can place 27.6 to the right of x and 22.3 to the left.

Hope this helps :)

Answer:

[tex]4.3<x<50.9[/tex]

Step-by-step explanation:

To find our Inequality sentence we have to add the largest number with the smaller much

[tex]27.6+23.3=50.9[/tex]

To find the second part of our inequality sentence we have to subtract the larger number from the smaller number

[tex]27.6-23.3=4.3[/tex]

Our inequality sentence is               [tex]4.3<x<50.9[/tex]

Brainliest please

(03.02 MC) The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.) A 6 mi 2 mi 00 B С Which of the following choices is closest to the distance (in miles) between points A and B?​

Answers

9514 1404 393

Answer:

  (b)  5.66 mi

Step-by-step explanation:

You only need to eliminate the unreasonable answers to make the correct choice.

The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.

The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.

The only reasonable choice is ...

  B.  5.66 miles

_____

If you like, you can calculate the distance using the Pythagorean theorem.

  AB² + 2² = 6²

  AB = √(36 -4) = √32 ≈ 5.66 . . . miles

Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
How much money does she budget for groceries each month?
State your answer in terms of dollars, rounded to the nearest whole dollar.

Answers

Answer: $265

Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.

Hope this helps!

Which side lengths could NOT form a triangle?



Answer options:

5 m, 6 m, 8 m


10 m, 10 m, 2 m


19 m, 34 m, 15 m


3 m, 16 m, 14 m

Answers

1. 5+6>8
6+8> 5
5+8> 6

2. 10+10> 2
10+2> 10
10+2> 10

3. 19+ 34> 15
19+ 15 > 34 not correct
34+15 > 19

4. 3+16 > 14
3+14> 16
14+16 >3

Answer is 3 <33

The sides for which a triangle is not possible are 19 m, 34 m, 15 m. The correct option is (c).

What is a triangle?

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

The given options are considered one by one

(a) 5 m, 6 m, 8 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 8.

Since 5 + 6 > 8, the given sides can form a triangle.

(b) 10 m, 10 m, 2 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 10.

Since 10 + 2 > 10, the given sides can form a triangle.

(c) 19 m, 34 m, 15 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 34.

Since 19 + 15 = 34, the given sides cannot form a triangle.

(d) 3 m, 16 m, 14 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 16.

Since 14 + 3 > 16, the given sides can form a triangle.

Hence, the sides that cannot form a triangle are 19 m, 34 m, 15 m.

To know more about triangle click on,

https://brainly.com/question/2773823

#SPJ2

Solve by elimination Solve by elimination or substitution: 4x + 2y = 6 and x - 3y = 5

Answers

Step-by-step explanation:

since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :

4x + 2y = 6

- 4x - 12y = 20

-----------------------

0 14y = -14

y = -1

=> e.g. in the second original equation

x - 3×-1 = 5

x + 3 = 5

x = 2

Multiple-Choice Questions
U
T
1.
?
50°
120°
V
R
Find the measure of the indicated angle in the
drawing above.
(A) 190°
(B) 60°
(C) 70°
(D) 120°
(E) 140°

Answers

Answer:

Mention the drawing if you want an answer !!! How are we supposed to answer this question without the drawing the question is referring to ?????

Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct ?

Answers

Answer:

Incorrect

Step-by-step explanation:

Average rate of change is

(65 - 67) / (5:00 - 1:00)  = -½°/hr

Write in order least to greatest!

Answers

Hello! :)

√99=9.95...

π²=9.9

9.8888...

So I think the numbers should be written like this:

9.8888, √99, π²

Hope it helps!

~Just a determined gal

[tex]MysteriousNature[/tex]

The expression 63+81,
How can you can use the distributive property in the GCF to find a equivalent expression? Explain how can you check your answer

Answers

Answer: 9 (7 + 9)

Step-by-step explanation:

63 = 9 * 7 and 81 = 9 * 9

Body surface area is calculated a) in m2 from weight and height. b) from height. c) from weight. d) in meters from weight and height.

Answers

Answer:

Body surface area is calculated a) in m2 from weight and height.

Step-by-step explanation:

Basically the surface has to be in m2, because you have two dimensions when you multiply: e.g. when you have a lawn 10m x 10m, then you multiply 10 times 10, and meters times meters, so

[tex]10m * 10m = 100m^2[/tex]

Convert fractions into percents

1/16= __

Answers

Answer:

160%

Step-by-step explanation:

Multiply both numerator and denominator by 100. 1.6 × 100100.

= (1.6 × 100) × 1100 = 160100.

Write in percentage notation: 160%

6.25% it would be the answer

please help as fast as you can

Answers

Answer:

x= 32 i think

CD= 51

Step-by-step explanation:

Answer:

9x-15=7x-1. => 2x=14 x=7

CD= 7×7-1=48

In which of these situations would the answer to the
question be 0?
A) The low temperature one day was -10°F. The high
temperature that day was 10 F. What is the difference
between the low temperature and the high temperature
that day?
B) A trail to walk up a hill begins at an elevation -16 yards.
The trail ends at an elevation of 16 yards. By how many
yards does the elevation of the trail change from
beginning to end?
C) Justine left her grandmother's house and walked 3
blocks directly south. Then she walked 3 blocks directly
north. At this point, how many blocks was Justine from
her grandmother's house?
D) Theodore jumped into a pool from a diving board 10
feet above the water. He sank 10 feet and then swam
straight up to the surface of the water. How many feet
did Theodore swim?

Answers

Answer: C is the correct answer

Step-by-step explanation:

A 300 m long wire is used to fence a rectangular plot whose length is twice it’s width. Find the length and breadth of the plot.

Answers

Width=50m and length=100m

Write the equation in point slope form of the perpendicular bisector of A(5,-8) and b(-3,1) 

Answers

Answer:

chu papi

Step-by-step explanation:

geomtry plz help 15 points

Answers

Answer:

m∠E=57°

Step-by-step explanation:

∠FDE=∠FED=(4x+1)° (base angles of isos triangle)

2(4x+1)+(5x-4)=180 (angle sum of triangle)

    8x+2+5x-4=180

             13x-2=180

                 13x=180+2

                       =182

                     x=182÷13

                       =14

Hence, m∠E = (4x+1)°

                     = [4(14)+1]°

                     = (56+1)°

                     = 57°

Answer:

m∠E=57º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(4x+1)+(4x+1)+(5x-4)=180

Remove parentheses.

4x+1+4x+1+5x-4=180

Collect like terms.

13x+1+1-4=180

Add and subtract.

13x-2=180

Add 2 from both sides of the equation.

13x=182

Divide 13 from both sides of the equation.

x=14

m∠E=(4x+1)º

4x14+1=57º

m∠E=57º

Hope this helps :)

Can someone pls help me!!! I really need it pls :)

Answers

Answer:

Mean x¯ 8.3333333333333

Median x˜ 9

Mode 9

Step-by-step explanation: if 8.3 dosent work just round it

In the previous year, at Hub Motors ltd, for a particular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year?​

Answers

Answer:

Step-by-step explanation:

Hi guys im stuck on this maths question

(2/5)^-3

Answers

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

Determine the total of each rectangle.Each number inside the rectangle represent the area of the smaller rectangle while each number along the side represents the length of the position on the side

Answers

Answer:

Hmmm, maybe this?

Step-by-step explanation:

An internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluation is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes.
274 347 283 307 327 314
303 285 280 391 359 325
Interpret the confidence interval estimate.
a. Based on the sample data, with 90% confidence, the ISP can conclude that the sample mean daily usage time is between _____ minute(s) and _____ minute(s).
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between _____ minute(s) and _____ minute(s).
c. Based on the sample data, the ISP can conclude that 90% of daily usage times are between _____ minute(s) and _____ minute(s).

Answers

Using the t-distribution, it is found that the correct interpretation is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.

We are given a   sample size of [tex]n = 64[/tex].

Using a calculator, we find that:

The sample mean is [tex]\overline{x} = 316.25[/tex]The sample standard deviation is [tex]s = 35.68[/tex]

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]

From the confidence interval, we can infer about the population mean, hence, the correct option is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

A similar problem is given at https://brainly.com/question/15180581

m 130 degrees n 130 degrees what is t

Answers

Answer:

50 degrees

Step-by-step explanation:

that line is a 180 degree and 180-130=50

An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is 400 meters. What dimensions for the rectangular region maximize the area of the rectangular region?

Answers

Answer:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Step-by-step explanation:

The distance around the track (400 m) has two parts:  one is the circumference of the circle and the other is twice the length of the rectangle.

Let L represent the length of the rectangle, and R the radius of one of the circular ends.  Then the length of the track (the distance around it) is:

Total = circumference of the circle + twice the length of the rectangle, or

         =                    2πR                    + 2L    = 400 (meters)  

This equation is a 'constraint.'  It simplifies to πR + L = 400.  This equation can be solved for R if we wish to find L first, or for L if we wish to find R first.  Solving for L, we get L = 400 - πR.

We wish to maximize the area of the rectangular region.  That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL.  We are to maximize this area by finding the correct R and L values.

We have already solved the constraint equation for L:  L = 400 - πR.  We can substitute this 400 - πR for L in

the area formula given above:    A = L·2R = 2RL = 2R)(400 - πR).  This product has the form of a quadratic:  A = 800R - 2πR².  Because the coefficient of R² is negative, the graph of this parabola opens down.  We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:        

                                                                   -b ± √(b² - 4ac)

Using the quadratic formula, we get R = ------------------------

                                                                            2a

                                                   -800 ± √(6400 - 4(0))           -1600

or, in this particular case, R = ------------------------------------- = ---------------

                                                        2(-2π)

            -800

or R = ----------- = 200/π

            -4π

and so L = 400 - πR (see work done above)

These are the dimensions that result in max area of the rectangle:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

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