Find the value of
x for which ABCD
must be a
parallelogram.
24
2
6
12

Find The Value Ofx For Which ABCDmust Be Aparallelogram.242612

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Intersection point of diagonals is the mid point of each diagonal.So,

2x+8=6x

6x-2x=8

4x=8

x=8/4

x=2

Answer 2

Answer: x = 2

Concept:

There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.

Diagonals of a parallelogram bisect each other.

Solve:

Given information

One side of the diagonal = 6x

The other side of diagonal = 2x + 8

Given expression deducted from the property of parallelogram

One side = Other side

Substitute values into the expression

6x = 2x + 8

Subtract 2x on both sides

6x - 2x = 2x + 8 - 2x

4x = 8

Divide 4 on both sides

4x / 4 = 8 / 4

[tex]\boxed{x=2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Hi, please help me with this question.

what is 45+46+47+ ... +53+54?

Answers

Answer:

245

Step-by-step explanation:

1).  91 + 41 + 53 + 54 {Simplify}

2).  138 + 53 + 54 {Simplify}

3).  191 + 54 {Simplify}

4).  245 {Add}

9514 1404 393

Answer:

  495

Step-by-step explanation:

There are several ways to figure this:

1) Multiply the average value by the number of numbers. The average number in an arithmetic sequence is the average of the first and last numbers in the sequence.

  average = (54+45)/2 = 49.5

  number of numbers = 54 -45 +1 = 10

  Total = 49.5 · 10 = 495

__

2) Add the numbers pairwise. It works best to work toward the middle from the ends:

  45 +54 = 99

  46 +53 = 99

  47 +52 = 99

  48 +51 = 99

  49 +50 = 99

  Total = 5 · 99 = 495

__

3) Subtract the sum of numbers to 44 from the sum of numbers to 54.

The sum of numbers 1 to n is (n)(n+1)/2.

  (54)(55)/2 -(44)(45)/2 = (27)(55) -(22)(45) = 1485 -990 = 495

__

4) Use a spreadsheet or calculator to add them. (see attached)

HELP PLEASE
a rectangle room has an area of 400 square feet. the length is 7 feet less than twice the width. find the dimensions of the room.

Answers

Answer: 16 feet is the width and 25 is length

Step-by-step explanation:

x*(2x-7)=400

Word problem written in numerical form^^^^

Solve for x to get 16

length = 2(16)-7= 25

Check our work

16*25=400 yay

Please Answer ASAP

The first term of a GP is 1, the sum of the third and fifth term is 90. Find the
common ratio.

Answers

hence, the common ratio of the given G.P. is 3 or −3.

Answer:

common ratio is -3 or 3

Step-by-step explanation:

[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]

Mark is mixing different color paints for a mural
he has been asked to paint in the school
gymnasium. To create the color purple he wants,
Mark mixes r gallons of red paint with b gallons of
blue paint. Red paint costs $25 per gallon and
blue paint costs $22 per gallon. He also needs $65
to spend on paint supplies.
Mark knows the cost of his paint and supplies can
be found using the expression

Answers

Answer:

25r+22b+65s

Step-by-step explanation:

ok so like uhh yea

F=ma find out f if m-26 and a-3 please help

Answers

Answer:

78

Step-by-step explanation:

26 + 26 + 26 = 78

The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?

Answers

Step-by-step explanation:

numbers

first = X

second = (x-10)

Third = 4(x-10)

x + (x-10) + 4(x-10) = 124

2x -10 + 4x-40 =124

6x - 50 = 124

6x = 124 + 50

6x = 174

x= 29

therefore the ;

first number = 29

second = (x-10) = 29-10 = 19

third= 4(x-10) = 4(29-10)= 76

Many numbers in real life are very large or very small. For example the distance from the earth to the sun is about 93,000,000 miles and midth of human hair is about 0.007 cm.

Answers

Answer:

yes, you are telling right.

find product of :(2x-y)(2x+3y).​

Answers

Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means that we multiply the last term in each binomial together.

Solve:

Given

(2x - y) (2x + 3y)

Expand parentheses and apply the FOIL method

=4x² + 6xy - 2xy - 3y²

Combine like terms

=4x² + (6xy - 2xy) - 3y²

=[tex]\boxed{4x^2+4xy-3y^2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the area of this figure?
5 yd
2 yd
2 yd
5 yd
3 yd
5 yd
4 yd
4 yd
Write your answer using decimals, if necessary.
square yards
PLS IT 11 points

Answers

the answer is 47yd²

hope it help n please give me brain.. thanks

Geno started to evaluate 90 – (18+-2)(-3), as shown. What should he do next?

Answers

138 is the answer
1. 18+(-2)= 16
2. 16(-3)= -48
3. 90- (-48)= 138

I don’t get this how do these things work please explain

Answers

Answer:

Ok, so:

-The number of people who like tea are represented in the first column.

-The number of people who dislike tea are represented in the second column.

-The number of people who like coffee are represented in the first row.  

-The number of people who dislike coffee are represented in the second row.

This works like a multiplication chart:

People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.

At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.

(52 people like tea, 80 people were surveyed)

I hope this helps you understand, please ask any clarifying questions you need! : )

The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the amount shown by the graph in subsequent years. Below are two mathematical models for the
lata shown in the graph. In each formula, C represents the cost x years after 1980 of what cost $10,000 in 1975.
Model 1 C = 840x +15,538
Model 2 C= -222 +900x + 14,204

Answers

Answer:

não sei nam mano foi mal ai

vei kskksksksk

Step-by-step explanation:

A restaurant divides its daily tips equally among 8 employees.
If the daily tips were $743.36, how much should each employee receive?
a
O $92.92
O $102.92
O$93.02
O $91.92

Answers

Answer:

Step-by-step explanation:

The daily tips were 743.36

8 people divided the money

Tips = 743.36 / 8 = 92.92

I can't explain how the others were obtained. The answer is A

Cuanto es 2/9 - 4/15

Answers

Answer:

Step-by-step explanation:

Common denominator is 45

(45/9)*2 = 10 and (45/15)*4 = 12

10/45 - 12/45 = - 2/45

please help its urgent

Answers

Step-by-step explanation:

tn=3n+8

t1=3*1+8

=3+8

=11

t7=3*7+8

=21+8

=29

t14=3*14+8

=42+8

=50

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

Answer:

C. $140

Step-by-step explanation:

Company C; $60 + ($20×4)

= 140

Answer:

Company C

Step-by-step explanation:

if M={a,b,c,d} and N={c,b,e,f},find the value of M-N​

Answers

Answer:

M-N= {a,d}

Step-by-step explanation:

subtract the common elements

(a, d)

(

Step-by-step explanation:

because a and d are not in N ,

4341 was rounded to the nearest one.
what is the lower bound?

Answers

Answer:

Lower bound is 4340.5

Step-by-step explanation:

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

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition

Answers

Answer:

Commutative Property of Addition

Step-by-step explanation:

3(x − 4) + 5x = 9x − 36

3x − 12 + 5x = 9x − 36  Distribute

3x + 5x − 12 = 9x − 36 Commutative Property of Addition

Picture shown!

Complete the remainder of the table for the given function rule:
y=-x-9
x | -2 -1 0 2
y |-7 [?] [ ?] [? ] [? ]

Answers

Step-by-step explanation:

-8

-9

-10

-11

just subtituted the remaining values of x.

Answer:

x= -1 —> y= –8

x=0 —> y= –9

x=1—> y= –10

x=2—>y= —11

Step-by-step explanation:

x= -1 —>y= -(-1)-9= +1-9 = –8

x=0 —> y= -(0)-9= –9

x=1—> y= -(1)-9= -1-9= –10

x=2—>y= -(2)-9 = —11

I hope I helped you^_^

Skills Practice: convert the following fractions into decimals. You must show your
rk.
How can I turn 3/12 into a decimal?

Answers

ANSWER:
0.25

i attached my work, hope this helps

why is the graph dashed line Rather than solid line?​

Answers

Answer: Inqualities that use < and> with a line under them means solid line

Step-by-step explanation: whereas < and> by themselves is dashed

Find the mean of 9, 10, 3, 9, 2, 3 graphically.

Answers

Answer:

18

Step-by-step explanation:

add all number and simply divide it by 2

Answer this question and turn it in HERE or on paper in the TURN-IN BOX by Friday for +2 Practice points. 0, 1, 1, 2, 3, 5, 8,... What are the next three numbers? Explain!​

Answers

Answer:

13, 24, and 34

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 24, 34, . . .

0+ 1 = 1

1+ 1 = 2

2+ 1 = 3

3+ 2 = 5

5+ 3 = 8

8+ 5 = 13

13+ 8 = 24

24+ 13 = 34

start at 1, then add the number behind it to move forward one space. repeat process.

Ricky Bobby, Betty Sue, and Jo Ellen recently completed a 49 mile relay bike ride. Ricky Bobby rode seven more
miles than Betty Sue, and Jo Ellen rode twice as much as Ricky Bobby. How far did each person ride?

Answers

Ricky Bobby rode 13 miles
Beth Sue rode 10 miles
Jo Ellen rode 26 miles

What’s 3.7 as a mixed number

Answers

Answer:

3.71 = (3.7 × 10)(1 × 10) = 3710.

Step-by-step explanation:

This fraction is alread reduced, We can't reduce it any further). As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 3710 is also equal to 3710 when expressed as a mixed number.

If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98

Answers

correct 8/2.99=16/5,98

Given that tan x=5/12, what is the value of sin x + cos x?​

Answers

Answer:

17/13

Step-by-step explanation:

the answer is in the image above

I need workings pls.and I want you to understand my questions
1.)log base 16 0.25
2.)log base 7 ¹/7
3.)log base 4 ⅛

Answers

Answer:

-1/2 , -1, -3/2

Step-by-step explanation:

1.)log base 16 1/4

log base 16 [tex]4 ^{-1 }[/tex] =x

[tex]16 ^{x} = 1/4[/tex]

x = -1/2

2.)log base 7 ¹/7

log base 7  [tex]7^{-1}[/tex] = x

7^x = 7^-1

x = -1

3.)log base 4 ⅛

4^x = 1/8

[tex]2^{2x} = 2^{-3}[/tex]

2x = -3

x = -3/2

Answer:

Step-by-step explanation:

1. Let a = log16 0.25, then:

0.25 = 16 ^ a = 16^-0.5

So the answer is -0.5.

2. log7 1/7

1/7 = 7^-1

Answer is -1.

3.  log4 1/8

1/8 = 4^(-1.5)

Answer is -1.5

Solve for h in the equation 15-2h=6

Answers

Answer:

h=4.5

Step-by-step explanation:

15-2h=6   Get rid of any constants of the side of the variable.

-15    -15

-2h=-9      Divide -2 from both sides to isolate h.

/-2  /-2

h=4.5

Hope this helped you out! Have a wonderful day :)

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