One base of a trapezoid measures 12 meters, and the other base measures
8 meters. If the area is 144 square meters, what is the height of the
trapezoid?

Answer:

  7k

Step-by-step explanation:

  −k−(−8k) = -k +8k = 7k

Answer: (k+k)(4)=28

Step-by-step explanation:

(k+k) (4) means the same as adding k(4) and k(4). Since we are given k(x), we can use it to solve. There are two ways to solve. One is to find k(4), and then add them. Another way is to do (k+k)(x), then plug in x=4. I will show both methods.

Method 1

k(4)=5(4)-6                  [multiply]

k(4)=20-6                    [subtract]

k(4)=14                    

(k+k)(4)=14+14            [add k(4) and k(4)]

(k+k)(4)=28

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Method 2

(k+k)(x)=5x-6+5x-6     [combine like terms]

(k+k)(x)=10x-12

(k+k)(4)=10(4)-12         [plug in x=4, multiply]

(k+k)(4)=40-12             [subtract]

(k+k)(4)=28

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Now, we know that (k+k)(4)=28. We confirmed this with both methods.

Answer:

it a d) option i.e d) AAS test

Answer:

3/8

Step-by-step explanation:

Answer:

the answer of this question is

the coffiecent is p

Answer:

881465966

Step-by-step explanation:

Answer:

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

[tex] RS + ST = RT [/tex]

[tex] (8y + 3) + (5y + 6) = 61 [/tex] (substitution)

Solve for y

[tex] 8y + 3 + 5y + 6 = 61 [/tex]

Combine like terms

[tex] 8y + 5y + 3 + 6 = 61 [/tex]

[tex] 13y + 9 = 61 [/tex]

Subtract 9 from both sides

[tex] 13y + 9 - 9 = 61 - 9 [/tex]

[tex] 13y = 52 [/tex]

Divide both sides by 13

[tex] \frac{13y}{13} = \frac{52}{13} [/tex]

[tex] y = 4 [/tex]

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26

Answer:

Guy above me is Wrong its 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).

For (b), you will use those 2 points to find the slope of the line using the slope formula:

[tex]m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167[/tex]

For (c), you will use point-slope form to write the equation. Point-slope form is

[tex]y-y_1=m(x-x_1)[/tex] where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.

We have m = -1.167, y = 7 and x = 7:

y - 7 = -1.167(x - 7)

That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:

y - 7 = -1.167x + 8.169 and

y = -1.167 + 8.169 + 7 so

y = -1.167 + 15.169

That's your equation in slope-intercept form, so you're done!

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

The cost of  building the new road is $4,160,000.

here we determine the length by using the Pythagorean Theorem.

So,

[tex]c^2 = a^2 + b^2[/tex]

Here

c is the longest leg

And, a and b are the 2 other legs of the ∆.

Now

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

So,

[tex]c^2 = 24^2 + 10^2[/tex]

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Now the cost should be

= 160,000(26)

= $4,160,000

learn more about cost here: https://brainly.com/question/18313009

Answer: dollars

Step-by-step explanation:

Mean means average and it's calculated by adding the numbers given and then dividing the sum by the amount of numbers that were given.

The standard deviation shows the amount of dispersion or amount of variation of a given set of values. From the question, the only unit of measurement we can see is the dollar sign($).

Answer:

Government A earns 54 675 US$, Government B earns 230 020 US$

Step-by-step explanation:

Answer:

EF = 10

Step-by-step explanation:

DE + EF = DF

5x + x + 8 = 20

6x = 20 - 8

6x = 12

x = 12/6

x = 2

EF = x + 8 = 2 + 8 = 10

Answer: 875 square feet

Step-by-step explanation: none atm

Answer:

Count houw many boxes the linegoes over

Step-by-step explanation:

Answer:

please mark my answer brainliest

Step-by-step explanation:

it can be solved by using Pythagoras theorem

Answer:

y = x/w

Step-by-step explanation:

1) We have to isolate y

2) An easy way to do this is to switch the places of y and w since we are just solving for y

3) Therefore, the answer is y = x/w

Hope this helps!

Answer:

thanks

Step-by-step explanation:

:) hahahahahah

Answer:

  (x, y) = (0, 3)

Step-by-step explanation:

(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.

Answer:

S= -3

Step-by-step explanation:

3s-12=-21

3s= -21+12

3s= -9

s= -9/3

s= -3

Answer:

s = -3

Step-by-step explanation:

[tex]3s - 12 = - 21[/tex]

Collect like terms

[tex]3s = - 21 + 12[/tex]

Add the numbers :

[tex] - 21 + 12 = - 9 \\ \\ 3s = - 9[/tex]

Divide both sides of the equation by 3

[tex] \frac{3s}{3} = \frac{ - 9}{3} [/tex]

Simplify

[tex]s = - 3[/tex]

Answer:

None of the options

Step-by-step explanation:

Given

Trapezoids: ABCD and A'B'C'D'

Required

Select type of transformation

Notice that width and length of ABCD are larger than that of A'B'C'D'

This means that the transformation applied on ABCD shrinks it size to A'B'C'D'

From the list of given option'

None of the 3 options describes this type of transformation.

The applied transformation is Dilation because it affects the size of ABCD

Hence;

None of the options is correct

Answer:

The answer is Reflection

Step-by-step explanation:

This is all i have............................

Answer:

100

Step-by-step explanation:

n(u)=120  total people in survey

n(c)=97     people carrying cell phone

n(t)=12     people carrying tablet

n(c∩t)=9  people carrying both tablet and cell phone

n(c∪t)=?   people carrying cell phone or tablet

now,

n(c∪t)= n(c)+n(t) - n(c∩t)

         = 97+12-9

          =109-9

          =100

there fore the number of people carrying cell phone or tablet = 100

Answer:

the answer is this because x=39/37,6/5

Answer:

1. Rotation

2. Reflection

3. Translation

Explanation:

1. Rotate figure A to the right it would match figure B

2. Imagine folding figure A down it would match figure B

3. Move figure A down and right and it would match figure B

Answer:

  x = -2

Step-by-step explanation:

Add 0.75x to both sides of the equation.

  -0.75x -2 = 0.25x . . . . . given

  -0.75x +0.75x -2 = 0.25x +0.75x

  -2 = 1.00x . . . . simplify

  x = -2

Answer:

(-oo, 1) U (1, 3) U (3, oo)

Step-by-step explanation:

We have a line with two arrowheads. The arrow heads show us that the numbers in the set continue forever in the negative direction past -5 and in the positive direction past 5. In this case, the set consists of all real numbers except 1 and 3 since they have open circles.

That means the set is from negative infinity to 1, from 1 to 3, from 3 to positive infinity, but leaving out 1 and 3.

Remember that a regular parentheses symbols, ( and ), do not include the number near them and are used for open circles.

Square brackets, [ and ], do include the number near them and are used for closed circles.

Also, infinity and negative infinity are not numbers, so we always use regular parentheses when dealing with infinity or negative infinity.

We need the union of three sets:

from negative infinity to 1, from 1 to 3, from 3 to positive infinity

Answer: (-oo, 1) U (1, 3) U (3, oo)

Answer:

ok lol

Step-by-step explanation:

Answer:

Is it just me or after this did you just put the 2nd answer for every question after this and failing every test I have taken

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

9 + 9 + 9 = 27

I hope this helps :)

Answer:

trish has 27 because 9 times 3=27 love yall

Step-by-step explanation:

Answer:

The positive and negative whole numbers are the Integers. Note that Natural numbers are a proper subset of the Integers which, in turn, is a proper subset of the Rationals. 45,368 is Natural, Whole, Integer, AND Rational.

Step-by-step explanation: