what is the length of the 2nd base of a trapezoid if the length of one base is 27 and the length of the midsegment is 19

Answers

Answer 1
1. To solve this exercise you must apply the "Trapezoid midsegment theorem", which says that the length of the midsegment is equal to half the sum of the lengths of the bases of the trapezoid. Therefore, you have:
 
 x=(a+b)/2
 
 "x" is the midsegment (x=19).
 "a" and "b" are the bases (a=27).
 
 2. When you clear the second base "b" from the formula  x=(a+b)/2 and you substitute the values, you obtain: 
 
 x=(a+b)/2
 2x=a+b
 b=2x-a
 b=2(19)-27
 b=38-27
 b=11
 
 What is the length of the 2nd base of a trapezoid?
 
 The answer is: 11
Answer 2

Answer: 11


Step-by-step explanation:

X=(a+b)/2

2x=a+b

B=2+-a

B=2(19)-27

B=3-27

B=11



Related Questions

WILL GIVE BRAINLIEST FOR CORRECT ANSWER

8. Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. EXPLAIN HOW YOU GOT THE ANSWER OR YOU DONT GET THE BRAINLIEST

Answers

The value of x in the triangle using the principle of Pythagoras is 2879.4 meters

Given the right angle triangle :

The angle of elevation = 10°Opposite side = 500 mx = hypotenus

Recall :

SOHCAHTOA

Using the relation :

Sin θ = opposite / hypotenus

Sin 10° = 500 / x

Cross multiply :

x(sin 10°) = 500

0.1736481x = 500

x = 500 / 0.1736481

x = 2879.39 meters

Therefore, the value of x in the triangle is 2879.4 meters.

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Answer: 2879.39 meters

Step-by-step explanation:

If Thomas wants a volume of 12 in3, what size does the cutout need to be? What would be the dimensions of this box?

Answers

They can be a variety of dimensions but to find volume you multiply length*width*height= volume. So the dimensions can be 2 by 2 by 3. 

What’s the answer to this?

Answers

The answer is A. Notice that the origin (0,0) of the old graph is moved to (-6,1) on the new graph. The graph has been moved 6 units left and 1 unit up. So the new graph is f(x)=\cbrt(x+6)+1, where x+6 accounts for the horizontal translation and +1 accounts for the vertical translation. 

draw and label a figure that has 4 points, 2 rays, and 1 right angle.

Answers

This image has 4 points, 2 rays, and 1 right angle. 

The points are: A, B, C, D, E, and F. 

The rays are: BA, BF, BD, CD, and CE

The right angle is located in the bottom left corner of the rectangle, however there are three other right angles in the upper and lower corners of the rectangle. 

Answer:

 Figure attached below.

Step-by-step explanation:

To draw and label - A figure that has 4 points, 2 rays, and 1 right angle.

Image is attached below.

This image has 4 points, 2 rays, and 1 right angle. 

The point is a dot from which a line form.

The point s are: A, B, C, D.

A ray is starts out at a point and continues off to infinity.

The rays are: BA, BF, BD, CD, and CE

An angle is the angle formed between two rays .

The right angle is at B i.e, 90°


A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the price of the other type of nuts he uses? Answer:

Answers

He has 60 pounds that cost x cents/pound
He has 40 pounds that cost 75 cents/pound
He wants to sell 100 pounds for 66 cents a pound.

The equation looks like this.
40*75 + 60*x = 100*66 
3000 + 60x = 6600 Subtract 3000 from both sides.
60x = 6600 - 3000
60x = 3600 Divide by 60
x = 3600/60
x = 60

He needs to mix 60 pounds of 60 cent nuts

60 cents a pounds is needed.

From the question, we are given that:

100 one pound of nut to sell for 66 percent a jar 40 pound of nuts worth 75 cents a pound

Since the question says he plans to use 40 pounds and he wants to make up 100 pounds jar of nut, therefore you should know that 60 pounds of the nuts is needed.

Further Explanation

Let Y be the price of 60 pounds of nuts

Therefore, the equations should as follows:

(40 x 75) + (60 x y) = 66 x 100

= 3000 + 60y = 6600

60y = 6600 – 3000

60y = 3600 (divide both side by 60)

60y/60 = 3600/60 (60 cross out 60)

Y = 3600/60

Y = 60  

Therefore, 60 cents a pounds is needed.

LEARN MORE:

A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. https://brainly.com/question/8565795A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. https://brainly.com/question/8080590

KEYWORDS:

66 cents jar40 pounds of nut100 one-pound60 cents75 cents a pound

The number of visitors to a park is expected to follow the function v(x) = 7(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 39 people in attendance. What is the function that shows total visitors, including the ceremony?


c(x) = 7(x − 1) − 39
c(x) = 39x − 7
c(x) = 39 − 7(x − 1)
c(x) = 39 + 7(x − 1)

Answers

c(x) = 39 + 7(x - 1)

The answer is D. c(x) = 39 + 7(x - 1)

Samantha’s younger brother just turned 3 years old. Fred’s brother is now 30 months old. Who brother is older? Explain

Answers

1. You have that:
 
 - Samantha’s younger brother  turned 3 years old.
 - Fred’s brother is 30 months old.
 
 2. one (1) year has twelve (12) months. Keeping this on mind, you have to follow the proccedure below:
 
 3 yearsx12 months=36 months
  
 3. As you can see, Samantha’s younger brother just turned 36 months old  and Fred’s brother is 30 months old. Therefore, you can conclude that Samantha’s younger brother is older than Fred’s brother.


Expand the logarithm. log4 (3xyz​)^2

Answers

2(log4(3)+log4(x)+log4(y)+log4(z))

Answer:

Answer is (2log2 + 2log3 + 2logx + 2logy + 2logz)

Step-by-step explanation:

log4(3xyz)²

= log4 + log(3xyz)²

= log4 + 2log(3xyz)

= log(2)² + 2[log3 + logx + logy + logz]

= 2log2 + 2log3 + 2logx + 2logy + 2logz

ABCD∼EFGH

AD=45 in. , EH=75 in. , and AB=30 in.

What is EF ?

Enter your answer in the box.

EF =
in.

Answers

45/75 = 30/x

30*75 = 2250/45 = 50

EF = 50 in.
the answer is EF = 50 in.

Choose all that are correct.

An inscribed angle measures 80° with an arc measurement of 160°.

An inscribed angle measures 30° with an arc measurement of 15°.

A central angle measures 50° with an arc measurement of 25°.

An arc measures 40° with an inscribed angle is 20°.

Answers

Answer: Second and third options are correct.

Step-by-step explanation:

As we know that

Angle at the center is the double the angle formed at the circumference of the circle.

So, An inscribed angle measure  30° if the angle formed at the circumference ( an arc measurement is of 15°)

Similarly, A central angle measures 50° with an arc measurement of 25°.

Hence, Second and third options are correct.

Answer:

The answer is the first one and the last one.

An inscribed angle measures 80° with an arc measurement of 160°.

and

An arc measures 40° with an inscribed angle is 20°.

the guy above is wrong do not do his answers

What is the value of x?

Answers

x/10 = 10/4x
4x^2  = 100
  x^2 = 25
     x = 5

answer
5 units
Final answer:

The value of x can signify diverse number based on the context it is applied in. For instance, it can be a certain range of values, part of a chemical equation, or the result of a mathematical equation. Therefore, the value of x is determined by the given conditions.

Explanation:

The value of x can be discovered through various mathematical processes depending on the context. In the examples given, x was used to denote different values across multiple scenarios.

One situation presented x as a value that ranged from 1.5 to 4.5, indicated by 1.5 ≤ x ≤ 4.5. In another instance, x was determined by the concentration of hydroxide ions in a chemical equation, which resulted in x = 4.0 × 10-³ M. Furthermore, x was also inferred from a quadratic equation where it implied the hydronium concentration.

In summary, the value of x varies based on the mathematical or scientific context it is applied to, and its value must be determined through specified conditions or equations.

Learn more about Value of x here:

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Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 ​ x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis what is the lowest altitude guillermo will reach?

Answers

Answer: The maximum depth that he will reach is -125 meters.

The first thing you should realize is that this is a quadratic equation and the graph will be a parabola.

We can simply the equation to:

y = (1/20)x^2 - 5x

Now, use -b/2a to find the x-value of the vertex which is 50. Then, input 50 back into the equation to get -125 for the maximum depth.

Answer:

-125 meters.

Step by step explanation:  

We have been given that Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), x seconds after diving, is modeled by [tex]g(x)=\frac{1}{20}x(x-100)[/tex].

We have been given a quadratic function and the minimum value will occur at vertex.

First of all we will write it in standard quadratic form by using distribution property.

[tex]\frac{x^{2}}{20}-\frac{100x}{20}[/tex]

[tex]\frac{x^{2}}{20}-5x[/tex]  

Now we will find vertex of our parabola using [tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-5)}{2(\frac{1}{20})}[/tex]

[tex]x=\frac{5}{(\frac{2}{20})}[/tex]

[tex]x=\frac{5\times20}{2}[/tex]

[tex]x=5\times10[/tex]

[tex]x=50[/tex]

Now let us substitute x=50 in our quadratic function to find lowest altitude of Guilermo.  

[tex]g(50)=\frac{50^{2}}{20}-5\times 50[/tex]

[tex]g(50)=\frac{2500}{20}-250[/tex]

[tex]g(50)=125-250[/tex]

[tex]g(50)=-125[/tex]

Therefore, the lowest altitude Guilermo will reach is -125 meters.          







Lyle deposited a check for $75.26. He’ll use the check register to record his transaction. What will be his new balance?

Answers

Answer

$896.44

Explanation

Remember that to get the current balance, you subtract all the debits from balance and add all the deposits to it.

We know from our table that the first transaction is medical bill, which is debit, so we are going to subtract the medical bill from the balance to find the  balance at that point in time.

Balance = $862.74 - $41.56 = $821.18

We also know that the second transaction is a check deposit for $75.26, so to find the current balance, we just need to add $75.26 to our previous balance.

Current balance = $821.18 + $75.26 = $896.44

Answer:

its B

Step-by-step explanation:

4(5y − 8 − 2) = 185 − 15 solve that pls

Answers

plug in 10.5 into the equation you should get 170 witch is 185-15 so y= 10.5

The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month. how much is your cost per visit during the year?

Answers

Cost of visit per month is $414/12 = $34.5

Cost of individual visit per month = $34.5/8 = $4.3125

Answer:

cost per visit during the year= $4.31

Step-by-step explanation:

The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month

annual membership fee  = $414 times each month

1 year = 12 months

Membership fee for 1 month = 414/12= 34.5

In 1 months total visit is 8

To find the cost per visit we divide the monthly fee by 8

Cost per visit = [tex]\frac{34.5}{8} =4.3125[/tex]

cost per visit during the year= $4.31

A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.

Answers

the anwser is the cicumferintes of the circle - 4

What is measure of angle P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

Sin P = opp/hyp
sin P = 15/17
P = sin⁻¹(15/17)
P = 61.93° (nearest hundredth)

Answer:

The measure of angle P is 61.93°

Step-by-step explanation:

We are given a right triangle with measures 8 cm, 15 cm and 17 cm.

For angle P, we see that,

Perpendicular = 15 cm

Hypotenuse = 17 cm

Using the trigonometric forms of the angles, we have,

[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]

i.e. [tex]\sin P=\frac{15}{17}[/tex]

i.e. [tex]\sin P=0.88235[/tex]

i.e. [tex]P=\arcsin 0.88235[/tex]

i.e. P = 61.93°

Hence, the measure of angle P is 61.93°.

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

f(x) = 2x + 21

g(x) = x − 24

A)−27
B)−21
C)6
D)48
I THINK ITS D BUT IM NOT SURE HELP ME PLEASE IM RIGHT?,

Answers

You can evaluate the functions separately, then add results:
.. f(3) = 2*3 +21 = 27
.. g(3) = 3 -24 = -21
(f +g)(3) = f(3) +g(3) = 27 -21 = 6

Or, you can find the combined function and evaluate that for x=3.
.. (f +g)(x) = f(x) +g(x)
.. = (2x +21) +(x -24)
.. = 3x -3
The
.. (f +g)(3) = 3*3 -3 = 6

Either way, the best choice is C) 6.

I just need the answers and I promise I will give the brainliest whoever comment first

1. Vertex (1,2), Point (2,-5)

2. Vertex (-3,6), Point (1,-2)

3. Vertex (0,5), Point (1,-2)

4. Vertex (1/4, -3/2), Point (1,3)

Answers

Hello,

1: y=-7(x-1)²+2

2: y=-1/2(x+3)²+6

3: y=7x²+5

4: y=8(x-1/4)²-3/2

Three coins are in a bag. the first coin flips heads with probability 50%, the second coin flips heads with probability 60%, and the third coin flips heads with probability 70%. i pull out a coin and flip heads. if i flip this coin again, what is the probability i will get heads?

Answers

It is going in order so my guess is 80%

Final answer:

The probability of flipping heads again after already flipping heads once is 50%

Explanation:

The probability of getting heads when flipping a coin twice can be calculated by multiplying the probabilities of getting heads each time. Let's calculate the probability step by step:

Pick a coin: Each coin has a probability of being picked, so the probability of picking any of the three coins is 1/3.The probability of picking a coin that flips heads is 50%, since the first coin has a 50% probability of flipping heads.Flip the coin: Since we know the coin flips heads, the probability of getting heads on the second flip is still 50%, regardless of which coin was picked.

Therefore, the probability of getting heads on the second flip is 50%.

What is the perimeter of 10 and 12?

Answers

Hi there!

To find the perimeter of a rectangle, we need to add all of its side lengths together.

10 + 10 + 12 + 12 = 44

So, the perimeter of the rectangle is 44 units.

Hope this helps!

Which expression is equivalent to (x - 6) (2x2 - 3x + 4)? 2x2 - 2x - 2 2x2 - 2x + 4 2x3 - 3x2 + 4x - 6 2x3 - 15x2 + 22x - 24

Answers

(x -6)(2x² -3x +4) = 2x³ -15x² +22x -24

The 4th selection is appropriate.

_____
You only need to look at the constant term of the product (-6)(+4) = -24 to choose the correct answer.

BRAINLIEST ANSWER!!!!!!!!!!!!!!!!!!!!!!! HELP PLZ!!!!!! Use the net to determine the lateral surface area.

The net of a triangular prism with the height of 4 inches, and each leg of the triangular base is 6 inches and its height is 5.2 inches is laid flat.

**i can't paste the picture, so this is all I have. If you can please help, i would appreciate it so much. plz help, ty!

Answers

THe lateral surface consists of 3 rectangles whose dimensions are 6*4  so lateral surface area = 3*24  = 72 in^2.

The expression sin x (cos x cot x - sin x) simplifies to?

Answers

◆ Trigonometric Identities ◆

Hey !!

Check the attachment.
Hope it helps you :)
this is the correct answer. I just got it wrong on my quiz but this was the right option. cos(2x)

Which equation is in standard form and represents a line with slope 5 through the point (0, 2)?

Answers

Hey there! :D

We can put this through point slope first.

y-y1= m(x-x1)

y-2= 5(x-0)

y-2= 5x

Ax+By= C <== standard form

Subtract y from both sides. 

-2= 5x-y <== standard form

I hope this helps!
~kaikers


Hey there!

Just follow the steps that Kaikers said XD She is soooo smart

Always remember, you are a Work Of Art!
- Nicole <3 :)

What is the value of 238 - 3x^2 when x=4??

Answers

x=4

=238 - 3x^2
substitute 4 for x
=238 - 3(4)^2
multiply exponents first
=238 - 3(16)
=238 - 48
=190

ANSWER: 190

Hope this helps! :)

tan(x+pi/2)= negative cot x

Answers

I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

Write the quadratic equation y= x^2 -6x + 7 in vertex form

Answers

y=(x-3)^2-2

I hope this helps!

Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?

Answers

(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31

The Main answer is  [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex] Given  [tex]f(x)=4x^{2} -5[/tex]  and [tex]g(x)=x+3[/tex] the value of  [tex](fg)(x)[/tex] is  [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]

To find the product of two functions [tex]f(x)[/tex] and [tex]g(x),[/tex] denoted as [tex](fg)(x)[/tex], we simply multiply the two functions together.

Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex], we multiply them to get [tex](fg)(x)[/tex]:

[tex](fg)(x)=f(x)*g(x)=(4x^{2} -5)*(x+3).[/tex]

Now, we distribute [tex]4x^{2} -5[/tex] across [tex](x+3)[/tex]:

[tex](fg)(x)=4x^{2} *(x+3)-5*(x+3).[/tex]

Expanding further:

[tex]=4x^{3} +12x^{2} -5x-15.[/tex]

So, [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]

COMPLETE QUESTION:

Given  [tex]f(x)=4x^{2} -5[/tex]  and [tex]g(x)=x+3[/tex]. What is [tex](fg)(x)[/tex]?

Easy Math Problem....
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Incorrect answers will be reported!

Answers

Hello there!

We can make an equation 

x = bat and y = ball

x + y = $1.10

x + $1 = y 


y must equal 5 cents 

5 cents plus 1 dollar 5 cents = 1.10

Hope I was of assistance!

~ Fire


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