what must be the value of a and b for PQRS to be a parallelogram? ​

What Must Be The Value Of A And B For PQRS To Be A Parallelogram?

Answers

Answer 1

Answer:

a = 2

b = 4

Step-by-step explanation:

In parallelogram opposite sides are equal.

4a +  b  = 2a + 8

4a - 2a + b = 8

      2a + b = 8 -----------------(I)

             b = 8 - 2a

11b - 10a = 6b

11b - 6b -10a = 0

5b - 10a = 0 ---------(II)

Substitute b = 8 - 2a  in equation (II)

5*(8-2a) - 10a = 0

5*8 - 2a * 5 - 10a = 0

     40 - 10a - 10a = 0

      40 - 20a       = 0

                  -20a = - 40

                       a = -40/-20

                      a = 2

Plugin a = 2 in equation (I)

2*2 + b = 8

4 + b   = 8

       b = 8 -4

      b = 4


Related Questions

what is the Y interpret of the question? y=-1/2x-6​

Answers

Answer:

The y-intercept is (0,-6)

Step-by-step explanation:

In the equation y = mx + b, b is the y-intercept. In your equation, the b is -6, so the y-intercept is (0,-6).

Answer:

Y-intercept: (0, -6)

Step-by-step explanation:

We have to determine the "y-intercept" in the equation.

The equation is written out in slope-intercept form: y = mx + b

The "b" variable would be our y-intercept, or beginning point.

In the y = -1/2x-6​ equation, you would see that the "-6" is in place of the "b" variable.

Therefore, the y-intercept of the line would be (0, -6).

what value(s) of x will make x to the 2nd power =9 true​

Answers

Answer:

x = 3 , X = -3

In x 2 = 9 , you need to get rid of the power of 2 in order to isolate just x This involves finding the square root. √ x 2 = x However there are 2 possible answers to a square root, a positive or a negative answer. x = ± √ 9 x = ± 3

if f(x)=8x+3 what is the value of x when f(x) =19

Answers

Answer:

2

Step-by-step explanation:

plug in f(x)

19=8x+3

subtract 3 from both sides

16=8x

divide by 8

2=x

If ABC is similar to triangle EDC find AC

Answers

Answer:

80

Step-by-step explanation:

x = 15

5(15) + 5 = 80

Fill in the missing terms of the arithmetic sequence.
-7,_1,5,_,13

A:-3,9

b:-3,10

c:-4,10

d:-4,9

Answers

Answer:

d

Step-by-step explanation:

May someone please assist me...I keep getting it wrong and it is due in 10 minutes.​

Answers

Answer:

what is it you need to know

Step-by-step explanation:

what is the vetical change on a graph called​

Answers

Answer:

Its called the rise

Step-by-step explanation:

Which of the following is a Recursive Formula for an Arithmetic Sequence?
a1 = -2, an = an-1 + 5
an = 5n – 7
a1 = -2, an= 5an-1
an = -2 + 5(n – 1)

Answers

Answer:

The correct answer is Option 1: a1 = -2, an = an-1 + 5

Step-by-step explanation:

A recursive formula is a formula that uses previous term in order to calculate the next term in a sequence.

In case of arithmetic sequence, the next term is obtain by adding a specific number to the last term.

This can be written as:

[tex]a_n = a_{n-1}+d[/tex]

Here

a_n is the terms we are calculating

a_{n-1} is the previous term and d is the common difference.

If we compare the given options, we can see that only option 1 matches with the general form of recursive formula

an = an-1 + 5

Here

5 is the common difference

Hence,

The correct answer is Option 1: a1 = -2, an = an-1 + 5

Helpppp I’m being timed please write this in y=Mx+b form

Answers

Answer:

y=2x-2

Step-by-step explanation:

Answer:

y = 2x - 2

Step-by-step explanation:

find the slope, and the y axis

Bridget and Caroline are marking exam papers. Each set takes Bridget 91 minutes and Caroline 2 hours. Express the times Bridget and Caroline take as a ratio in its simplest form.

Answers

The ratio is 91/120 because 91 is only divisible by 1, 7, 13, 91 and 120 is not divisible by 7, 13, or 91 so you cannot reduce this ratio

help pls
Factor completely. 5x2-2x - 7​

Answers

Step-by-step explanation:

[tex] \tt{5 {x}^{2} - 2x - 7}[/tex]

Find the two numbers that multiply to get 35 and subtract to get 2. The two numbers should be 5 & 7.

⟶ [tex] \tt{5 {x}^{2} - (7 - 5)x - 7}[/tex]

Distribute x through the parentheses

⟶ [tex] \tt{5 {x}^{2} - 7x + 5x - 7}[/tex]

⟶ [tex] \tt{ \underbrace{5 {x}^{2} - 7x } \: + \underbrace{5x - 7}}[/tex]

⟶ [tex] \tt{x(5x - 7) + 1(5x - 7)}[/tex]

⟶ [tex] \tt{(x + 1)(5x - 7)}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(x + 1)(5x - 7)}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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It doesn't make sense ?

Answers

Answer:

30 in

Step-by-step explanation:

factor the following trinomials x^2-2x-1 and x^2-3x+1

Answers

Answer:

x²^41

Step-by-step explanation:

x²^41 combine the factors only

Jean's bedroom is 13 feet by 13 feet. She has chosen a carpet which costs $28.60 per square yard. This includes installation.

Answers

Answer:

$528.8

Step-by-step explanation:

Given data

Dimension

13 feet by 13 feet

1 ft =4.3 yard

Area= 4.3^2

Area= 18.49 yard

cost of carpet

1 yard= $28.60

18.49 yard= x

cross multiply

x= 18.49*28.60

x=$528.8

Hence the cost to cover the room is $528.8

The difference between an observational study and a experiment is that

Answers

Answer:

observational study, you already know the outcome and you are doing it to take notes or learn while an experiment the outcome is unknown and you are seeing the reaction

Step-by-step explanation:

Hopes this helps??

Answer:

Step-by-step explanation:

Observational study means you collect info by observing something experimental means you have an experiment like how will this change if I do this or what will happen etc.

What is the value of x in the equation 24-2x=16

Answers

Answer:

x = 4

Step-by-step explanation:

24 - 2x = 16

-24          -24

-2x = -8

-2      -2 = 4

What is the volume?
9 yd
9 yd
9 yd

Answers

Answer:

729

Step-by-step explanation:

hope this helps

Answer:729

Step-by-step explanation: since it is volume you would want to multiply with an exponent of 3

Alina is moving into a two-bedroom apartment in Downtown Tampa. The monthly rent is $2,000. Her up-front fees are shown. How much can she expect to pay up-front for this apartment? Round to the nearest dollar.

Application fee: 3% of one month's rent
Credit application fee: $20
Security deposit: 1 month's rent and last month's rent
Broker's fee: 14% of year's rent

Answers

Answer:

7440

Step-by-step explanation:

3%×2000=60

60+20=80

2000+2000=4000

4000+80=4080

14%×24000=3360+4080=7440



Which system of equations does the graph represent?

Options:
1) y=x+4
Y=-2x-4

2) y=-x -4
Y=2x-2

3) y=-x+4
Y=2x-4

4) y=x-4
Y=-2x-2

Answers

Answer:

It's option 1) y=x+4 y=-2x-4

use rounding to estimate 10 4/5 + 8 9/10

a. 20
b.19
c.18
d.19 1/2

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye
Answer:
a.20

Explanation:
10 4/5 rounded is 11
8 9/10 rounded is 9
11 + 9 = 20

Plz help me and hurry

Answers

Answer:

A. For each input value, x, there is exactly one output value, y.

Step-by-step explanation:

A function always have exactly one output value (y-value) that is related or assigned to each input value (x-value), however, two different x-values can have the same y-value.

In the graph given, although two different values have the same y-value, every x-value has exactly one y-value corresponding to it. No x-value has two different y-values.

Therefore, the graph represents a function.

4/7w = 16 hurry please

Answers

Answer:

4

7

w

=

16

Multiply both sides of the equation by

7

4

.

7

4

4

7

w

=

7

4

16

Simplify  

7

4

4

7

w

.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

4/7w = 16

Multiply both sides by 7/4 to get the variable isolated

w=28

What is −3x+4y=−16 in slope-intercept form?

Answers

Answer:

y=3/4x-4

Step-by-step explanation:

First you put x to the other side of the equation, so you have 4y = 3x-16. Next you need to get y alone so you get 4y/4=y. But, you need to do this to both sides of the equation, so you do 3x-16/4=3/4x-4. All in all, your slope-intercept form is y=3/4x-4.

Noah's oven thermometer gives a reading that is 2% greater than the actual temperature.
If the actual temperature is 325°F, what will the thermometer reading be?
Round your answer to the tenths (first) decimal place.
Do not include units (°F) in your answer.
PLS HELP

Answers

357 I think is the right answer.Since the thermometer reading was 7°F greater than 350. The thermometer reading is 359+7=357

What is the quotient of 57÷313?

Answers

Answer:

0.1821

Step-by-step explanation:

A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commission

Answers

Answer:

Step-by-step explanation:

1/10=0.1

if the total sales is  26,000

the commission will be 26,000*0.1=2,600 dollars

1. The ratio of boys to girls is 4/5. If there
are 24 boys, how many girls are there?

Answers

Given:

The ratio of boys to girls is [tex]\dfrac{4}{5}[/tex].

Number of boys = 24

To find:

The number of girls.

Solution:

We have,

Boys: Girls = 4:5

Let the number of boys be 4x and number of girls be 5x.

[tex]4x=24[/tex]

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

Now,

Number of girls = [tex]5x[/tex]

                          = [tex]5(6)[/tex]

                          = [tex]30[/tex]

Therefore, the number of girls is 30.

please help me please will give brainliest to ​

Answers

Answer:

It is c

Step-by-step explanation:

Answer:

A) N = p/m

Step-by-step explanation:

let's say you can read 10 pages in 2 minutes and you're asked how many pages you can read in 1 minute. you would divide 10 by 2 to say you can read 5 pages in 1 minute

Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500.

What is the tax rate?

Answers

The tax rate is 1,295 because the car itself is 18,500 plus the tax of 1,295 it would be 19,795

ZB = round your answer to the nearest hundredth PLEASE HELP

Answers

Answer:

Boy a dont no but good luck

Step-by-step explanation:

i am not smart but sonthing like 67

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