An isosceles trapezoid has vertices at (-2, 1), (2, 1), (5, -1) and (-5, -1). find the measure of each diagonal

Answers

Answer 1

Check the picture below.

well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]

An Isosceles Trapezoid Has Vertices At (-2, 1), (2, 1), (5, -1) And (-5, -1). Find The Measure Of Each

Related Questions

I’m confused on what to do.

Answers

All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:

3/20

The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?

Gravity 9.8 m/ ^2s

physical science!
Help pls

Answers

The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.

What is kinetic energy?

Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.

We can calculate the kinetic energy of the Kingda Ka roller in the following way:

K.E = Potential Energy

K.E = mgh

Where: m = mass = 9750

g = acceleration due to gravity = 9.8m/s²

h = height = 139m

Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J

= 13.3megajoules.

Learn more about kinetic energy on https://brainly.com/question/25959744

According to the Graffalo the slope line B is ?:

Answers

Answer:

yes ikr

Step-by-step explanation:

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

Impaired brain function as a result of drug use involves all of the following except: a. increased confusion b. errors in judgment c. memory loss d. increased concentration

Answers

Increased concentration is the answer as drug impairs our ability to control ourselves.

Hope it helps!

Impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.

What is impaired brain function?

A significant deterioration in one or more domains of conscious mental activity, such as language, learning, and memory, that interferes with everyday function and independence are some of the traits of impairment of brain.

Thus, as we see, first three options are showing acts of impaired brain but the fourth option contradicts, as impairment from drug use isn't going to increase concentration and if it somehow does, then it isn't impairment.

Thus, impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.

Learn more about impaired brain function here:

https://brainly.com/question/7451329

The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. each tile has leg measures of 5 cm and 6 cm. if there are
150 tiles in the mosaic, what is the area of the mosaic?
a 10 cm2
b 2250 cm 2
c 165 cm2
d 4500 cm2

Answers

Answer:

Below in bold.

Step-by-step explanation:

The area of each triangle = 1/2 * height * base

As it is a right triangle the height is equal to one of its sides, so

Area of 1 triangle = 1/2 * 6 * 5

= 15 cm^2

Area of mosaic = 150 * 15

= 2250cm^2.

5x+9y=−10
7x+10y=−1

help how do i solve this​

Answers

Answer:

{x,y} = {7,-5}

Step-by-step explanation:

Solve equation [2] for the variable  y

  [2]    10y = -7x - 1

[2]    y = -7x/10 - 1/10

Plug this in for variable  y  in equation [1]

  [1]    5x + 9•(-7x/10-1/10) = -10

  [1]    -13x/10 = -91/10

  [1]    -13x = -91

Solve equation [1] for the variable  x

[1]    13x = 91

[1]    x = 7

By now we know this much :

x = 7

y = -7x/10-1/10

Use the  x  value to solve for  y

  y = -(7/10)(7)-1/10 = -5

Answer:

(x , y) = (7 , -5)

Step-by-step explanation:

{x, y} = {7, -5}

System of Linear Equations entered :  

1. 5x + 9y = -10

2. 7x + 10y = -1

(Shown on graph below)

Solve equation 3 for the variable the y    

10y = -7x - 1

y = -7x/10 - 1/10

Plug this in for variable  y  in equation 1    

5x + 9•(-7x/10-1/10) = -10

-13x/10 = -91/10

 -13x = -91


Solve equation 1 for the variable  x   
 13x = 91 

  x = 7 

By now we know this much :  

  x = 7

  y = -7x/10-1/10

Use the  x  value to solve for  y    

 y = -(7/10)(7)-1/10 = -5 

Hence, (x , y) = (7 , -5)

x - 3y - 3 = 0

3x - 9y - 2 = 0

Answers

Answer: no solution

             

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

no solution

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

Write 16^1/4 as a power then evaluate

Answers

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2.  To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16

PLS PLS PLS HELP ME!!!​

Answers

Answer:

[tex]x = 180 - (37 + 53)[/tex]

is the answer

HELP ASP PLEASE math

Answers

Answer: D

Step-by-step explanation:

[tex]3x^2-x+2=0[/tex]

[tex]\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2}}{2\cdot \:3}[/tex] [tex]\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2} =\sqrt{1-24} =\sqrt{-23} =\sqrt{-1}\sqrt{23} =\sqrt{23}i[/tex]

[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{23}i}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-1\right)+\sqrt{23}i}{2\cdot \:3},\:x_2=\frac{-\left(-1\right)-\sqrt{23}i}{2\cdot \:3}[/tex]

[tex]x_1=\frac{1+\sqrt{23}i}{6},\:x_2=\frac{1-\sqrt{23}i}{6}[/tex]

Helppppppppppppppppppp

Answers

Answer:

8/27

Step-by-step explanation:

It says to use V=s^3.

s is the the side length of the cube which is 2/3 in this case.
So to get your answer you have to do: (2/3)^3 or 2/3 x 2/3 x 2/3.

Which of the following equations could be used to solve for the tenth term of the following sequence? 15,13,11,9,… A(10)=15+10(-2), A(10)=15+9(-2),A(10)=15+10(2),A(10)=15+9(2)

Answers

Answer:

the first one

Step-by-step explanation:

What is
13/31 as a percentage?
Give your answer rounded to one decimal place

Answers

Answer:

13 is 41.9 percent of 31

13/31*100=41.9

13/31 would be 41.94% as a percentage

The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

Dimensions of rectangle = 23 cm x 5 cm

Step-by-step explanation:

Equations we can form

Perimeter of 56 cm

⇒ 2L + 2W = 56

⇒ L + W = 28

Length is 8 more than 3 times its width

⇒ L = 3W + 8

Substitute in previous equation

⇒ 3W + 8 + W = 28

⇒ 4W = 20

⇒ W = 5 cm

⇒ L = 28 - 5 = 23 cm

The Great Pyramid at Giza is a square-based pyramid with height 146 meters and a base that measures 230 meters on each side. What is the volume of the pyramid, in cubic meters?

Round your answer to the nearest cubic meter.​

Answers

Answer:

The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.


Given:

Sides of length,
[tex]s = 230m[/tex]
Height,

[tex]h = 146.7m[/tex]
According to the formula,
The Volume (V) will be:
[tex]= \frac{1}{3} s^{2} h[/tex]
By substituting the values, we get
[tex]= \frac{1}{3} (230)^{2} * 146.7[/tex]
[tex]= \frac{1}{3} *520900 *146.7[/tex]
[tex]=\frac{1}{3} * 7760430[/tex]
[tex]= \frac{7760430}{3}[/tex]
[tex]= 2586810m^{3}[/tex]
Thus the above is the correct solution.

Learn more about the volume of pyramid here:
brainly.com/question/15923072



Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?

Do I divide 2/3 by 1/12?

Answers

Answer:

yes its 24/3 but reproduce is 1/8

Step-by-step explanation:

The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the variable t to represent the temperature. Which expression should Yuri write?
t greater-than negative 3
t greater-than 3
t less-than negative 3
t less-than 3

Answers

Answer:

The answer is t < -3

Step-by-step explanation:

t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3

T>v3 since the temp was -3 degres it has to be it

A tonne (1000 kg) of soil is to be equally divided
between 7 garden beds. How much soil is placed
in each garden bed? Write your answer in tonnes
rounded to the nearest kilogram.

Answers

Answer:

0.143 tonnes

Step-by-step explanation:

1000 / 7 = 142.857143

= 143 kg

= 0.143t

How to get x and what the answer is.

Answers

sum of interior angle =n-2(180)

n is the number angles

5-2(180)

3(180)

=540

x=102+116+123+88=429

540-429=111

x=111

Is (-6, -7) a solution to this system of equations?

y = 4x + 9
y = 2x + 5

Yes or no

Answers

Answer:

The answer is no

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 9

y = 2x + 5

For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.

First, I will substitute the first equation, for y, into the second equation:

y = 4x + 9

y = 2x + 5

4x + 9 = 2x + 5

Next, subtract 2x from both sides to isolate x:

4x + 9 = 2x + 5

-2x      -2x

2x + 9 = 5

Then, subtract 9 from both sides:

2x + 9 = 5

     - 9  - 9

2x = -4

Now, divide both sides by 2:

2x = -4

/2    /2

x = -2

Now, we find the value of y, by substituting -2 for x:

y = 2x + 5

y = 2(-2) + 5

y = -4 + 5

y = 1

(x, y) ==> (-2, 1)

Check your answer using (-2, 1):

y = 2x + 5

1 = 2(-2) + 5

1 = -4 + 5

1 = 1

This statment is correct

y = 4x + 9

1 = 4(-2) + 9

1 = -8 + 9

1 = 1

This statment is also correct

Check your answer using  (-6, -7):

y = 2x + 5

-7 = 2(-6) + 5

-7 = -12 + 5

-7 = -7

This statment is correct

y = 4x + 9

-7 = 4(-6) + 9

-7 = -24 + 9

-7 = -15

This statment is NOT correct

Therefore, no (-6,-7) is NOT a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Answer:

no

Step-by-step explanation:

AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter

Answers

Answer:

n = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )

[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15


Carmen went for a drive in her new car. She drove 437.5 miles in 7 hours. What was her speed?

Please help!!!!

Answers

Answer:

62.5 miles per hour

Step-by-step explanation:

Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.

Hopefully this helps- let me know if you have any questions!

HELP PLEASE
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²

Answers

The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.

Area of a Rectangle = base x height

Area of a Triangle = 1/2 x base x height

Base rectangle = 24 x 12 = 288

Rectangles that come to a point = 2(12 x 13) = 2(156) = 312

---There are two rectangles, which is why I multiplied the area by 2.

Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120

Surface Area = sum of all the areas of the faces


Surface Area = 288 + 312 + 120 = 720 in^2

Answer = 720 in^2

Hope this helps!

The unit rate of change of y with respect to r is the amount y changes for a change of one unit in I.
is the unit rate of change of y with respect to r greater in the equation y = 0.25% or in the graph below?
Choose 1 answer:
The graph
The unit rates are the same.
The equation

Answers

Answer:

(.8-.4)/(2-1) =.4

SLOPE IS THE RATE OF CHANGE Answer: A

Step-by-step explanation:

Lucy wants to make a confidence interval to estimate the true mean wait time explain throughly why Lucy has or has not satisfied the normal condition for contstructing a confidence interval

Answers

The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.

How to determine the normal condition for the confidence interval?

The question is incomplete, as the needed parameters to answer the question are missing.

So, I will list the normal conditions for constructing the confidence interval

The condition for constructing the confidence interval include:

The sample must be a random sampleThe variables must be independenceThe samples must be a large sample i.e. 30 or greaterThe sample size should be less than or equal to 10% of the population size

Read more about confidence interval at:

https://brainly.com/question/15712887

A money box contains only 10-cent and 20-cent coins. There are 40 coins with a total value of $6.50. How many coins of each?

Answers

Answer:

10x+20y= 350

Step-by-step explanation:

Add the decimal. 3.50

Let's assume that all the coins are 10-cent coins.

The total value would be 10 x 40 = 400 cents = $4

So, it would be $2.5 less than the actual total value,

We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.

Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)

-> There are 25 20-cent coins and 15 10-cent coins

Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5

Use an equation to solve.

What is 60% of 400?

Answers

Answer:

240 :)

Step-by-step explanation:

400 x 0.60 = 240

Have a great day!

Please rate and mark brainliest!!

Answer:

240

Step-by-step explanation:

May you please do number 11. I don’t know how to do it.

Answers

Answer:

11.) 105 degrees

12.) 50 degrees

13.) 55 degrees

Step-by-step explanation:

11.) <EFG is a straight angle (180 degrees) so 180-75=105

12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees

13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees

Math-Convert the following units.Write your answer on a separate sheet of ppaper
1.230.000 sq cm=_____sq m
2.400 000 sq cm= ____ sq m
3.60 000 sq cm= ____ sq m
4.15 sq m=______sq cm
5.120 sq m=______ sq cm
6. 16 sq m = ______ sq cm

Answers

The conversion of area units results in:

230 000 cm²= 23  m²400 000 cm²= 40  m²60 000 cm²= 6  m²15 m²= 150 000 cm²120 m²= 1 200 000 cm²16 m² = 160 000 cm²

Unit Conversions for Area

For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area,  each unit is 100 times larger than the previous. See below the relationship between the meter and the other units

1km²=1 000 000 m²=[tex]10^6[/tex] m²

1 hm²= 10 000 m²= [tex]10^4[/tex] m²

1 dam²=100 m²= 10² m²

1 m² =1 m²= 1 m²

1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²

1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²

Now, you have the necessary information for converting the units.

230.000 sq cm=_____sq m

        [tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]

400.000 sq cm= ____ sq m

       [tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]

60000 sq cm= ____ sq m

      [tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]

15 sq m=______sq cm

         [tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]

120 sq m=______sq cm

         [tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]

16 sq m=______sq cm

         [tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]

Read more about the area here:

https://brainly.com/question/3402810

what is the slope of the line containing the point( -9,2) and (3,14)

Answers

Answer:

the slop is 1

Step-by-step explanation:

hop that help

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