In quadrilateral ABCD, AD ∥ BC. Quadrilateral A B C D is shown. Sides A D and B C are parallel. The length of A D is 3 x + 7 and the length of B C is 5 x minus 9. What must the length of segment AD be for the quadrilateral to be a parallelogram? 8 units 16 units 31 units 62 units

Answers

Answer 1

Answer:

31 units

Step-by-step explanation:

Given

[tex]AD = 3x + 7[/tex]

[tex]BC = 5x - 9[/tex]

Required

Find

If AD parallel to BC, then:

[tex]AD = BC[/tex]

This gives:

[tex]3x + 7 = 5x - 9[/tex]

Collect like terms

[tex]3x- 5x = -7-9[/tex]

[tex]-2x = -16[/tex]

Solve for x

[tex]x = 8[/tex]

Substitute [tex]x = 8[/tex] in [tex]AD = 3x + 7[/tex]

[tex]AD = 3 * 8 + 7[/tex]

[tex]AD = 31[/tex]

In Quadrilateral ABCD, AD BC. Quadrilateral A B C D Is Shown. Sides A D And B C Are Parallel. The Length
Answer 2

Answer:

C) 31

Step-by-step explanation:


Related Questions

What's the circumference and area?

Answers

Answer:

43.98 (44) Circumference

Area: 153.94 (154)

Step-by-step explanation:

Answer:

Circumference: 14π square inches or approximately 43.96 square inches

Area: 49π square inches or 153.86 square inches

Step-by-step explanation:

Circumference = 2πr, where r = radius

2π(7) = 14π or 14(3.14) = 43.96

Area = πr^2, where r = radius

π7^2 = 49π or 49(3.14) = 153.86

Which of the following are not polynomials?
+ x +1
A. x²
B. +x+
N
C. x2 + 0x2 + 2x + 2
DX-2 + x +1
+
3x+1

Answers

Answer:

letter a

Step-by-step explanation:

hope it helps

..............

The answer is C because it is separated by + signs, does not contain variables raised to negative or fractional exponents , etc

PLEASE HELP ;_; IM SO CONFUSED-

Answers

Answer:

option d. 6/10

.....................

Answer:

it would have to be 3/5 i think but i actually think option 1 or 4

Step-by-step explanation:

‼️‼️plz help me, you identify the error the solve the problem correctly

Answers

x=14

hope it helps you ❣

Mark me as brainliest

the error is that they tried to cross multiply but instead of cross multiplying they did addition.

the correct answer:

Some friends went hiking. The very top of the trail that was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles and they walked on the trail. How far to the front walk? How far to the friends drive?

Please solve step-by-step​

Answers

Answer:      they drove 27 miles+ and walked 8 miles

Step-by-step explanation:

En una granja se crían gallinas y cerdos. Entre las dos clases de animales hay 40 cabezas y 110 patas. ¿Cuántos animales hay de cada clase?

Answers

Answer:

Total pigs in the farm = 15

Total chickens in the farm = 25

Step-by-step explanation:

Given - Chickens and pigs are raised on a farm. Between the two classes

             of animals there are 40 heads and 110 legs.

To find - How many animals are there of each class?

Proof -

Given that , there are two types of animals - Chicken and pigs.

Let Chicken is represented by c

      Pigs are represented by p

Given , there are 40 heads and 110 legs.

As we know that both chicken and pigs has 1 head

⇒1c + 1p = 40

⇒c + p = 40                 .........(1)

Also, we know

Chicken has 2 legs whereas pigs have 4 legs

⇒2c + 4p = 110

Divide the whole equation by 2, we get

⇒c + 2p = 55                 .............(2)

∴ we get

c + p = 40                 .........(1)

c + 2p = 55                 .............(2)

subtract equation (1) from equation (2) , we get

c + 2p - ( c+ p) = 55 - 40

⇒c + 2p - c - p = 15

⇒p = 15

Now,

Put the value of p in equation (1), we get

c + 15 = 40

⇒c = 40 - 15

⇒c = 25

∴ we get

c = 25

p = 15

So, Total pigs in the farm = 15

Total chickens in the farm = 25

A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone?

Answers

Answer:

The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.

Hope this helps!

What is the solution set for-4x - 10 < 2?​

Answers

Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week, he deposited $50 into his savings account. B A football team gained 4 yards on one play and lost 2 yards on the next play. C The temperature at 10 pm was 6°C. Over the next 3 hours, the temperature decreased by 2°C each hour. D Marci spends $8 to make a necklace and earns $8 from each bracelet sold. On Saturday, she made 5 necklaces and sold 10 bracelets.

Answers

C. The temp at 10pm was 6°C. Over the next 3 hours, the temp dropped 2°C/hr.

6 -2(3) = 0

Solve by factoring X^2-100=0

Answers

x= -10, 10


This is the answer.

Evaluate 11.3v + 10.7w when v=7 and w=8

Answers

Answer:

11.3(7)+10.7(8)=79.1+85.6

=164.7

25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.

Answers

Answer:

21.5 feet.

Step-by-step explanation:

Calculate the length of a curved edge.

s =  

m

360

  · 2πr Use the formula for arc length.

=  

90

360

  · 2π(3) Substitute 3 for r and 90 for m.

= 1.5π Simplify.

Let t be the length of the cut encompassing the tray.

t = 2 · 1.5π + 2 · 6

= 3π + 12 Simplify.

≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.

The length of the cut encompassing the tray is 21.5 feet.

75 - 4w = 63 solve for w

Answers

Answer:

w3

Step-by-step explanation:

move the constant to the right hand side and change it's sign

calculate the difference

divide both sides of the equation by 4

9514 1404 393

Answer:

  w = 3

Step-by-step explanation:

Isolate the w term by subtracting the constant on that side.

  75 -75 -4w = 63 -75

  -4w = -12

Get w by itself by dividing by its coefficient.

  -4w/-4 = -12/-4

  w = 3

PLEASE HELP ME

In the coordinate plane, the point X(3,2) is translated to the point X (−1, 5). Under the same translation, the points Y( 6,− 1) and Z( 5 ,5) are translated to Y′ and Z′, respectively. What are the coordinates of Y′ and Z′?

Y': ( , )

Z': ( , )

Answers

Answer:

y=(2,1)

z=( 1,7)

Step-by-step explanation:

Because from their original point you would have to count to the left four unit and up two units

The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.

Answers

Answer:

Step-by-step explanation:

Insert x for -2 & 4 and y for 1 & 4

1=-2m+c, 4=4m+c

solve the equation, m=1/2, c=2

Answer:

y = 1/2m + 2

Step-by-step explanation:

1 = -2m + c (1)

4 = 4m + c (2)

 2 = -4m + 2c (1*)

(1*) + (2) =  6 = 3c

                 c = 2

y = mx + 2

4 = 4m + 2

2 = 4m

m = 1/2

so y = 1/2m + 2

             

Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Select all that apply.

Answers

Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

Pleaseeee I beg you. Help me!

Answers

Answer:

3X+8 IS THE ANSWER FOR EQUATION

26 IS 2ND ANSWER

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

The solution of x is 6

Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.

Answers

Answer:

x = 2

Step-by-step explanation:

x * 3 = 6 → is your equation to solve for x

x = [tex]\frac{6}{3}[/tex]

x = 2

Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:

Answers

Answer:

8(3j-2) and 4(6j−4)

there you go!!

the
What is the length of Ac? Round to the nearest tenth.
O 3.0 cm.
O 9.8 cm.
O 10.5 cm
o 12.8 cm.

Answers

Answer:

10.5

Step-by-step explanation:

Unit test on edge 2021

The value of x from the figure is 10.5cm

SOH CAH TOA identity

Find the diagram attached

From the given diagram

tan 55 = 15/b

Given that tan 55 = 1.4281, hence;

1.4281 = 15/b

b = 15/1.4281

b  = 10.5cm

Hence the value of x from the figure is 10.5cm

Learn more on SOH CAH TOA here:https://brainly.com/question/20734777

Which transformations map the strip pattern onto itself?
Ь Ь Ь Ь Ь
Р Р Р Р Р
A. a horizontal translation only
B. a horizontal translation and a glide reflection
C. a reflection across a vertical line
D. a horizontal translation and a 180° rotation

Answers

Answer:

C

Step-by-step explanation:

The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong

C is right becuase we can reflect the b across a vertical line to get to P

I will give brainiest to whoever answers correctly.

Answers

Answer:

x= 1.25    y = 1.75

Step-by-step explanation:

8/5 = 10/ (5+x)

Cross multiplucation

 8(5+x) = 5x10

40 + 8x = 50

8x = 10

x = 1.25

          8/7  =  10/ (7+y)

           Cross multiplication

        8(7+y) = 10x7

          56+8y = 70

          8y =  14

             y = 1.75

the the quotient of the opposite of a number and negative ten ​

Answers

Answer:

The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.

:))

Answer: x/10

Step-by-step explanation:

the quotient of the opposite of a number and negative ten

Well

The opposite of a number is -x

And negative ten is written as -10

now we need the quotient of -x and -10

If you were asked the quotient of 10 and 2 it would be 10÷2 or 5

So the quotient of -x and -10 would be [tex]\frac{-x}{-10} = \frac{x}{10}[/tex]

Consider Functions F and G

Answers

Answer:

A

Step-by-step explanation:

We are given two functions:

[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]

And we want to find:

[tex]f(x)+g(x)[/tex]

Thus:

[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]

We can factor the denominator of the first term:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]

In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]

Multiply:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]

Combine:

[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]

Simplify:

[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]

We can expand the denominator:

[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]

Therefore, our answer is A.

Answer:

A

Step-by-step explanation:

5
Which of the following sets of values completes the function table?
Input (x)
3x-1
Output (y
2.
3(2) - 1
3
313) - 1
4
3[4)-1
A) 0,1,2
B 5, 8, 11
5, 6, 7
D) 6,9,12

Answers

Answer:

5, 8, 11

Step-by-step explanation:

3(2) - 1 = 5

3(3) - 1 = 8

3(4) - 1 = 11

Answer:

27,81

Step-by-step explanation:

ANSWER ASAP
Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution.
8x^3 +__x^2 – 23x + 6
Solution: (2x + 3)(4x - 1)(x - 2)

Answers

Answer:

[tex]8x^{3}+30x^{2}+17x+6[/tex]

Step-by-step explanation:

Help me with this pls

Answers

Answer:

180

Step-by-step explanation:

guessed the answer

that was the easiest

somebody please help im giving 20 points and a brainliest !

Answers

Answer:

y = 1500(1.079)^t

Step-by-step explanation:

Here, we want to write an exponential function

Mathematically, we have this generally as;

FV = IV( 1 + r)^t

where FV is future value which is y in this case

IV is the initial value which is 1,500 kn^2 in this case

r is the rate of change which is 7.9%

7.9/100 = 0.079

t is the time difference

so we have the equation as;

y = 1500(1 + 0.079)^t

y = 1500(1.079)^t

A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much money did the shopkeeper pay the manufacturer for the television B) if the shopkeeper gives 10% discount for cash. How much money does a customer pay for the television

Answers

Answer:

$2250

$2430

Step-by-step explanation:

If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price

let t = cost price of the television

the following equation can be derived

1.2 x t = $2700

divide both sides by 1.2

t = $2250

If there is a 10% discount, the television is (100 - 10%) 90% cheaper

0.9 x 2700 = $2430

what is 2x-6=16
please help

Answers

2x-6=16
2x=16+6
2x=22
X=22/2
X=11

Answer:

x=11

Step-by-step explanation:

step 1- add 6 to both sides

2x-6+6=16+6

step 2- divide both side by 2

2x/2 22/2

x=11

I suggest using a calculator called Math Papa that's what I use for equations

Other Questions
What is the solution to the equation below? vx-5=x-11A. X=9B. X=15C. X=14D. X=6 Read the excerpt from The Land. Ray Sutcliffe looked me up and down, and I knew he hadn't liked what he'd heard from me. But he gave me the leeway. "You just make sure you win. We've got less than two hours before that start." This dialogue advances the plot of the story by telling the reader that Paul can take his time in preparing for the race. has very little time to prepare for the race. is confident that he will win the race. will not be ready when the race begins. 3.) Use the distributive property to re write each expression. 5(2x+7)Your answer what are the formulas for the products of the reaction:calcium chloride+ silver nitrate in a school with 400 student , 22% are sixth graders . How many students are in the sixth grade? Can yall help me again The numbers are 10 feet, 8 feet, 1 foot A right rectangular prism is shown. Find the surface area of this prism.A)80 square feetB)164 square feetC)196 square feetD)220 square feet evaluate the expressionI 13 I + I -2 I please answer something meaningful for grade 7 The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in perimeter (a) Explain the nature of a partnership as a form of business ownership.and give examples of typical b) After allowing 16 % discount on the marked price of an article and levying 13 % valueadded tax, the price of the article becoipes Rs 9,492. Find the value added tax. Factorise the expressions and divide them as directed. ASAP How did the defense of slavery in the South cause increasing division in mid 1800s America? What does the third-person point of view in this passage show about Greg and Lemon? Check the three best answers. why they are in the abandoned home how Greg feels what Lemon Brown looks like Greg could see him clearly. He was an old man. His black, heavily wrinkled face was surrounded by a halo of crinkly white hair and whiskers that seemed to separate his head from the layers of dirty coats piled on his smallish frame. His pants were bagged to the knee, where they were met with rags that went down to the old shoes. ... "What are you doing here?" Greg asked. "This is where I'm staying." Lemon Brown said. What you here for? "Told you it was raining out," Greg said, leaning against the back of the couch until he felt it give slightly. "Ain't you got no home?" "I got a home," Greg answered. -"The Treasure of Lemon Brown," Walter Dean Myers how Lemon Brown feels O how they act Write the center and radius for the following circles what does michael plan to do with the hockey card colection?From: A winter Drive I'll give brainliest pleassee answer right!! Is Making rules for banks with branches in several states.Local or State or Federal Seafloor spreading creates new rock on the __________ and pushes old rock to the__________.Please Help! This is due today!