Find the lengths of the segments with variable expressions

Find The Lengths Of The Segments With Variable Expressions

Answers

Answer 1

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

Answer 2

The measurements of the trapezoid are EF = 7 units, AD = 3 units and BC = 11 units

What are trapezoids?

A type of quadrilaterals having one pair of parallel sides are considered as trapezoids.

Given is a trapezoid, with midsegment = x, bases = x-4 and 2x-3

Since it is a trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 3x/2 - 7/2

2x = 3x-7

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

Hence, the measurements are EF = 7 units, AD = 3 units and BC = 11 units

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Related Questions

62% of trees were saved from a fire. If this represents 1420 trees, how many trees were originally in the forest?Round to the nearest whole tree.

Answers

Answer:

2290 trees

Step-by-step explanation:

Given data

Let the total number of trees be x

62% of the total trees x is 1420 trees

mathematically

62/100x= 1420

0.62x= 1420

divide both sides by 0.62

x= 1420/0.62

x= 2290.32

To the nearest whole tree= 2290 trees

I want to switch from online school to in-person school next school year and my mom wants to know why and I just think it would be fun but I can't tell her that so what do I say???? Please Help!

Answers

Answer:

just tell her that you want to see your friends again or say that you think it will have a better effect on your grades. you could say that it would be eaiser to pay attention in class and that CV cases are droping so it would be still be safe to go.

Step-by-step explanation:

Hope this helps!

Answer:

I have already switched from online to in-person, and I would say it was a pretty great decision. Some points you could bring up are ;

o It'll help your grades. (Personally, I was really struggling with my grades while doing online but, as soon as I switched my grades raised quick!)

o You miss your friends, or just seeing humans lol. (It's been almost an entire year we've been on lockdown! No one can see friends, or people in general. If you look it up, its this has taken a big toll on people's mental health.)

o Just to be able to get out of the house for a few hours. (We've been stuck inside with nothing to do besides, sit and do school and spend all of our time looking at our screens. Just tell her it's to much and you need a break.)

Hope this helps !!

y = (-3/2)x + 9 2x + 4y = 17 solve the system of equations
step by step​

Answers

Answer:

x = 19/4 and y = 15/8

Step-by-step explanation:

Given:

y = (-3/2)x + 9

2x + 4y = 17

Move y to one side:

2x + 4y = 17

y = 17/4 - x/2

Solve for x:

(-3/2)x + 9 = 17/4 - x/2

x = 19/4

Substitute x to solve for y:

y = (-3/2)(19/4) + 9

y = 15/8

2(19/4) + 4y = 17

y = 15/8

In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:

Answers

Part A

The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.

The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.

The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.

The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.

So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34

The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%

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

Answer in fraction form = 13/34Answer in decimal form = 0.3824  (approximate)Answer in percent form = 38.24%  (approximate)

============================================================

Part B

We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.

We have 13-1 = 12 diamonds left out of 52-1 = 51 total.

The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%

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

Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)

What is the area of this figure?​

Answers

Answer:

989 ft.

Step-by-step explanation:

7*13=91

91 is the first rectangles area.

13+6=19

19*17=323

323 is the second rectangles area.

25*23=575

575 is the third rectangles area.

575+323+91=989

A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?

Answers

If u meant $1.10 donated then it would be $190.9

But if u donated 110 then it would be $82

Which of the following choices shows the equation solved for y
7x + 2y = 10

1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10​

Answers

Answer:

#1; [tex]y = -\frac{7}{2}x+5[/tex]

Step-by-step explanation:

[tex]7x+2y=10[/tex]

[tex]2y = -7x + 10[/tex]

[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]

[tex]y = -\frac{7}{2}x + 5[/tex]

Find the Vertex given the Standard form

PLEASE OMG ITS DUE IN 9 MIN

y = -7x^2+x-112

Answers

Answer:

[tex]\frac{1}{14}[/tex],[tex]-\frac{3135}{28}[/tex]

Step-by-step explanation:

In a triangle with vertices A,B and C, if C =64° and the lengths AC= 40mm and BC= 70mm find the length AB using cosine rule

Answers

Answer:

63.6mm

Step-by-step explanation:

According to cosine rule;

AB² = BC²+AC²-2(BC)(AC)cos m<C

Substitute the given values

AB² = 70²+40²-2(70)(40)cos 64

AB² = 4900+1600-5600cos64

AB² = 6500-5600(0.4384)

AB² = 6500-2,454.87

AB² = 4,045.12

AB = √4,045.12

AB = 63.6mm

Hence the length of AB is 63.6mm

For the given right triangle, find the value x to the nearest tenth:

Answers

Answer:

x = 45.6

Step-by-step explanation:

cos 58 = x/86

86 cos 58 = x

x = 45.6

You must memorize the definitions of the trig functions and these problems will be easy for you.  OK?  

For example, cos of an angle = adjacent side/hypotenuse

simplify ..... 12x^2 / 9x^2y show work please

Answers

Answer:

4/3y

Step-by-step explanation:

Given the expression 12x^2 / 9x^2y

12x^2 / 9x^2y

= (3*4)* x * x/(3*3)*x*x*y

= 4x^2/3x^2y

= 4/3y

hence  the simplified form is 4/3y

Which property is demonstrated below?

(a+b)+c=(b+a)+c

A. Commutative property of addition

B.Associative property of addiction

C.Identity property of addition

D.Distributive property

Answers

Answer:

Associative property of addition

Answer:

B.Associative property of addiction

Step-by-step explanation:

what is the surface area of the figure?

Answers

Answer:

96

Step-by-step explanation:

first off you know that it is a square pyramid, so you can assume that all base lengths are 6.

i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory

next, we have to find the 4 triangles

we know that they are 5 by 6 but you have to divide them by 2

so 30/2=15 and there are 4 of them

15*4=60

now add together 60 and 36 and you get 96

hope this helps!

–3y9 number of terms

Answers

Answer and Step-by-step explanation:

[tex]-3y^{9}[/tex]

This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.

#teamtrees #PAW (Plant And Water)

What two expressions represent 3/12​?

Answers

Answer:

A and C

3x1/12= 3/12

3x1/2= 3/12

n is an integer with -5 < 2n <6
write down all the values of n?

Answers

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

[tex]\dfrac{ -5}{2} < \dfrac{2n}{2} <\dfrac{6}{2}\\\\=\dfrac{ -5}{2}<n<3[/tex]

So, the values of n are less than 3 and more than (-5/2).

In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?

Answers

Answer: 20inch

Step-by-step explanation:

Using the Pythagoras theorem:-

25^2 = 15^2 + x^2    where x = the width of the screen.

625 = 225 + x^2

x = √(625 - 225) = √400

= =  20 ins

if 500 pieces of something is a pound how much does 1 piece weigh?

Answers

Answer:

0.002 pounds

Step-by-step explanation:

1lb / 500 = 0.002 pounds

Jaedon bought 3 toy cars for $11.70. How much would 10 cars cost?

Answers

Answer:

39

Step-by-step explanation:

11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.

Can someone please answer this for me

Answers

Answer:

3.5

Explanation:

Take any two points of the line and simply use the formula slop = y2-y1/x2-x1

Two points that I consider

(x1, y1) = (5,0)

(x2,y2) = (7,7)

Now using the above mentioned formula,

y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5

Hence slop of line is 3.5

Thanks for joining brainly community!

Solve this equation 53y - 55 = 42y

Answers

53y-42y=55
11y=55
Y=55/11 =5

Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?​

Answers

Answer:

height = 6

volume = 60 in³

Hope this helps!

Answer:

Height = 4

Volume = 48 units ^3

Step-by-step explanation:

what is the common ratio? {250, 50, 10, 2...}

Answers

Answer:

5

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

         you can do this by any number, for example:

         50 / 10 =5

         10 / 2 = 5

What is the product of a,b, and c?

Answers

Answer:

[tex] abc = - \frac{16}{3} [/tex]

Step-by-step explanation:

[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]

I need help with this problem. Can someone please tell me what the answer is?

Answers

Answer:

the answer is D hope that help

Answer:

The answer is D

Step-by-step explanation:

A chord of a circle is l cm long. The distance of the chord to the center of the circle is h cm and the radius of the circle is r cm. express r in terms of l and h​

Answers

Answer:

r square = half of l square + h square

Step-by-step explanation:

I used phythogoras theorem to express r in terms of l and h

Please help with a.

Do not use a calculator.

Answers

Answer:

0.0000016

Step-by-step explanation:

(8×10^-3)×(2×10^-4)

=8×10^-3 × 2×10^-4

= (8×2) × (10^-3 × 10^-4)

=16 × 10^(-3) + (-4)

= 16 × 10^ (-3-4)

=16× 10^(-7)

= 0.0000016

Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all?

A.$6.75
B.$130
C.$140
D.$2700

Answers

Answer:

Step-by-step explanation:

A(5/100)=135

A=100(135)/5

A=$2700

Answer:

D

Step-by-step explanation:

5/100 = 135/x

Cross multiply

5 × x = 100 × 135

5x = 13500

Divide both sides by 5 to isolate the variable

x = 2700

$2700

Check work by plugging the x value into the equation

5/100 = 135/2700

Convert 5/100 so that it has the same denominator as the other fraction

5 × 27/100 × 27

135/2700

135/2700 = 135/2700

Do they equal?

Yes, so our answer is correct

A town
has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?

Answers

Answer:

The answers is 15840

Step-by-step explanation:

\text{Exponential Functions:}

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }14000

a=starting value = 14000

r=\text{rate = }2.5\% = 0.025

r=rate = 2.5%=0.025

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.025=1.025

b=1+r=1+0.025=1.025

\text{Write Exponential Function:}

Write Exponential Function:

y=14000(1.025)^x

y=14000(1.025)  

x

 

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=14000(1.025)^{5}

y=14000(1.025)  

5

 

y= 15839.71498

y=15839.71498

Evaluate

y\approx 15840

y≈15840

round

PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH

Answers

Answer:

literally straight on the x axis

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