Using the Parallelogram Side Theorem Parallelogram A B C D is shown. Sides A B and D C are parallel. The length of A B is 4 q minus 8 and the length of D C is q + 4. What is the length of side AB of parallelogram ABCD? units

Answers

Answer 1

Answer: The length of AB = 8 units

Step-by-step explanation:

Given: In parallelogram ABCD, Sides A B and D C are parallel.

The length of AB is 4q minus 8 and the length of DC is q + 4.

Since opposite sides of parallelogram is parallel and equal.

So [tex]4q-8=q+4[/tex]

[tex]\Rightarrow\ 4q-q=4+8\\\\\Rightarrow\ 3q=12\\\\\Rightarrow\ q=4[/tex]

Length of AB = 4q-8=4(4)-8=16-8=8 units

Hnece, the length of AB = 8 units


Related Questions

Which of the following statements are true?


Please help..

Answers

Answer:

The answer is C

Please help me with number 1 to 6 please

Answers

1.) 144
2.) 8
3.) 262.5
4.) 36
5.) 630
6.) 440

alex, brian, and carlton competes the same weightlifting category this year and one of them won! the weight alex lifted plus the weight brian lifted was 220 kg. the weights lifted by alex and carlton totaled 240 kg. and the weights lifted by Brian and Carlton totaled 250 kg. How many kilograms did the winner lift

Answers

Answer:

135 Kilograms

Step-by-step explanation:

Alex = 105

Brian = 115

Carlton = 135

135

HELP WHATS THE ANSWER FOR THIS

Answers

Answer:

Step-by-step explanation:

ITS  125!

Answer:

B. 55

Step-by-step explanation:

N+W=180°

N+125°=180°

N=180°-125°

N=55°

PLEASE HELP ITS MATH!!!!


This triangle has one side that lies on an extended line segment. Based on this triangle, what statement about x is true? A. x = 27 because 180−109−44=27 B. x = 65 because 109−44=65 and 44 + 65 = 109 C. x = 71 because 180−109=71 D. x = 153 because 109 + 44 = 153 and 153−44=109


MEASUREMENTS (down below)


A triangle with base on an extended line. Two angle measures are given. Top interior angle is forty-four degrees. Lower right exterior angle is one hundred nine degrees. Lower left interior angle is labeled x degrees.

Answers

Answer:

B. x = 65 because 109−44=65 and 44 + 65 = 109

Step-by-step explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°

PLS HELP ASAP I BEG WILL MARK BRAINLIEST AND GIVE POINTS

Answers

Answer:

in order from top to bottom

one solution

infinite solutions

no solution

Geometry Stuff (PLEASE HELP ANSWER ITS DUE IN AN HOUR)

Answers

x= 45 degrees The angle is 135 degrees

A principal of $3100 is invested at 3% interest, compounded annually. How many years will it take to accumulate $4000 or more in the account? (Use the
calculator provided if necessary.)
Write the smallest possible whole number answer.

Answers

Answer:

8.46 years

Step-by-step explanation:

Given data

P=$3100

R= 3%

A= $4000

Calculate time, solve for t

t = ln(A/P) / r

substitute

t=ln(4000/3100)/3

t=ln1.290/0.03

t= 0.254/0.03

t= 8.46

Hence the time is 8.46 years

Can someone actually answer this unlike the last guy, please?

Answers

Answer:

m^2+n/2-17

Step-by-step explanation:

Answer:

[tex](4) \frac{n}{2} +m^{2} -17=2n+m^{2} -17[/tex]

Step-by-step explanation:

Step one: Remove Parenthesis

[tex]4*\frac{n}{2} =2n[/tex]

Step two: Add the rest back

[tex]=2n+m^{2} -17[/tex]

If there is something I missed please fill it in again sorry if I'm wrong.

A figure is going to be dilated by a scale factor of 3.5.

A. The area will change by a factor of 3.5.

B. The area will change by a factor of 7.

C. The area will change by a factor of 12.25.

D. The area will change by a factor of 49.

Which of the following describes the effect of the dilation on the area of the figure? P.S I will give brainliest

Answers

Area will change by a factor of 3.5² = 12.25

how do you know you have a direct variation in the relationship between two quantities?

Answers

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?

Answers

12 books

(75-3)= 72
72/6=12 book

(4a^3+5a^2-a+1)-(5a-2a^3+3)

Answers

Answer:

6a^3 + 5a^2 - 6a - 2

Step-by-step explanation:

(4a^3 + 5a^2 - a + 1) - (5a - 2a^3 + 3)

Combine like terms

4a^3 - (-2a^3) = 6a^3 (- times - = +)

-a - 5a = -6a

1 - 3 = -2

Now combine the answers in standard form (don't forget the 5a^2)

6a^3 + 5a^2 - 6a - 2

From her home, Jada would have to walk 3 miles north to get to her friend Brianna's house and 4 miles east to get to her friend Luke's house. One day, Jada walked from her home to Luke's house. Together, Luke and Jada cut directly through the field that separated them from Brianna's house. When they finished playing at Brianna's, Jada walked back home. In all, how far did Jada walk?

Answers

Answer: 12 miles

Step-by-step explanation: Stright from her house to luke is 5 miles back ti brianna is 4 miles and back home is 3 miles all together 5+4+3=12

Solve for x. -3 < x - 10

Answers

Answer:

7 < x

Step-by-step explanation:

-3 < x - 10

+10      +10

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

7 < x

Answer:

x > 7

Step-by-step explanation:

-3 < x -10

=> x - 10 > -3

=> x > 10 - 3

=> x > 7

HURRY PLEASE find the lcm of 2x-6 and 4x+12 and x^2-9

Answers

Answer: 4 ( x − 3 ) ( x + 3 )

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Below.

Step-by-step explanation:

2x - 6 = 2(x - 3)

4x + 12 = 4(x + 3)

x^2 - 9 = (x - 3)(x + 3)

So the LCM is:

4(x - 3)(x + 3)

or 4x^2 - 36.

standard form of -43/63 is​

Answers

Answer:

7.28 × 1013

Step-by-step explanation:

The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.

An airplane is flying at a height of 200m. Its angle of elevation to an observer on the ground is 230. Calculate the distance of the airplane from the observer.

Answers

Answer:

Distance between the plane and the observer is 511.86 miles.

Step-by-step explanation:

From the figure attached,

A plane is flying at point A which is at 200 m height and observer is at point C.

Angle of elevation (∠ACB) of the plane from the observer is 23°.

Let the distance between the observer and the plane is x meters.

By applying sine ratio for angle C,

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23°) = [tex]\frac{200}{x}[/tex]

x = [tex]\frac{200}{\text{sin}(23)}[/tex]

x = 511.86 miles

Therefore, distance between the plane and the observer is 511.86 miles.

In the diagram, which pair of angles are vertical angles?
•<1 and <2
•<4 and<6
•<6 and <8
•<5 and <3

Answers

angle 6 and angle 8 because they’re across from each other

At a bake stall there is a large square pan of chocolate brownies. Customers can buy any fraction of the pan of brownies they like.The first customer bought 1/2 of the pan of brownies. The second customer bought 5/6 of what was left of the pan of brownies. What fraction of the whole pan did the second customer buy

Answers

Answer: 5/12

Step-by-step explanation:

Since the first customer bought 1/2 of the pan of brownies. This means that the pan of brownies left will be:

= 1 - 1/2

= 1/2

The The second customer bought 5/6 of what was left of the pan of brownies, the fraction that the second customer bought will be:

= 5/6 × 1/2

= 5/12

Answer:

5/12

Step-by-step explanation:

At a bake stall there is a large square pan of chocolate brownies. Customers can buy any fraction of the pan of brownies they like.

The first customer bought 1/2 of the pan of brownies.

The amount of brownies that was left over is given as:

1 - 1/2 = 1/2 brownies left ove

The second customer bought 5/6 of what was left of the pan of brownies.

The amount of brownies the second customers bought is calculated as:

5/6 of 1/2

= 5/6 × 1/2

= 5/12

What fraction of the whole pan did the second customer buy

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't…
If you are good at math please do this. IF U DONT DO IT AND PUT AN ANSWER SAYING YOU DONT KNOW IM REPORTING YOUR ACC ​
help mathhhhhhhhhh I don't understand will give brainly est if right if wrong u get the report and no points
Hey, I am here ranting about the fact that someone reported me for not having a long enough answer, even though the answer was CORRECT. I don´t know is it just me?
DO NOT REPORT Is it just me or do you just suddenly remember the good old days and how they were?

Answers

A line plot is a graph that shows the frequency of data along a number line. First of all gather your data into a table. Name - frequency
3/4 in - 4
7/8 in - 2
1/2 in - 2
5/8 in - 2
Then put them in numerical order. Smallest to biggest.
1/2, 1/2, 5/8, 5/8, 3/4, 3/4, 3/4, 3/4, 7/8, 7/8.
(The answer is then in picture)
And the average height is all of them summed together divided by the amount. So the sum is 7 which is then / 4 so the average is 7/4 inch.

5. Which of the following books in question #4
best represents an "outlier
A Book 7
B. Book 3
C. Book 8
D. There were no outliers in the scatter plot.

Answers

Answer:

c

Step-by-step explanation:

Answer:it’s A

Step-by-step explanation:


5. Which of the following systems of linear inequalities is represented on the graph
below?

Answers

yuhhh DISSKSNSLSKSKSKSKSSKSKSKNSSNSKENEKENEENDKDKDMDDJ i need points

x=-y+3,3x-2y=-1 use substitution to solve the equation

Answers

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation:

What is the y-coordinate for the solution to the system of equations? {−x+3y=9 {y=2/3x

Answers

Answer:

y = 6

Step-by-step explanation:

3 y - x = 9

y = (2 x)/3

Substitute y = (2 x)/3 into the first equation:

{x = 9

y = (2 x)/3

Substitute x = 9 into the second equation:

Answer:

x = 9

y = 6

Kari bought a fountain online. It cost $946 plus 28% shipping and handling. What was the total cost?

Answers

Answer:

$1210.88

Step-by-step explanation:

100 + 28 = 128

946/100 X 128 = 1210.88

Which of these people ran for about 35 minutes?
А
Karen ran from 10:48 AM until 11:32 AM
B
Kevin ran from 9:12 AM until 9:56 AM
С
Adam ran from 1:54 PM until 2:28 PM
D
Malin ran from 3:42 PM until 4:17

Answers

9514 1404 393

Answer:

  D  Malin ran from 3:42 PM until 4:17

Step-by-step explanation:

You need only examine the least-significant digits to determine of the difference of times will end in 5.

The only time difference that is 35 minutes is ...

  3:42 pm to 4:17 pm . . . . . . choice D

write 16+32 as a product of two factors using the GCF and the distributive property.

Answers

Answer:

48

Step-by-step explanation:

16+32=16(1+2)=16(3)=48

16 + 32 as product of two factors = 16 × 3

What is factor?

A factor is a number that divides another number completely with no remainder. Factors and multiples are related concepts in math.

Given expression,

16 + 32

It can be written as

4 × 4 + 4×4×2

Greatest common factor = 4×4 = 16

16(1) + 16(2)

Using Distributive property, factoring out the GCF

16 (1 + 2)

16 × 3

Hence, 16 × 3 is the product form of 16 + 32.

Learn more about factors here:

https://brainly.com/question/2058395

#SPJ2

PLEASE SOMEONE HELP ME​

Answers

Answer:

-12x + -4y = 8 would be the full equation so -12x goes in the box

Step-by-step explanation:

I think

(-4)(3x) = -12x

..........

Ashley and Gabby bought lunch from the food trucks on Sugar Day. Ashley bought 3 tacos and a drink for $7. Gabby bought 2 drinks and 2 tacos for $8. How much does 1 taco cost? A taco costs__

Answers

Answer:

$1.5

Step-by-step explanation:

This would be solved using a simultaneous equation

let tacos = t

drink = d

3t + d = 7 -- eqn 1

2t + 2d = 8 -- eqn 2

Multiply equation 1 by 2 to derive equation 3

6t + 2d = 14 eqn 3

Substract equation 2 from equation 3

6t + 2d = 14 -- eqn 3

         -

2t + 2d = 8 -- eqn 2

= 4t = 6

solve for t

6/4 = 1.5

= $1.5

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