Find the value of x for which ABCD must be a parallelogram

a. 0
b. 25
c. 4
d. 7

Find The Value Of X For Which ABCD Must Be A Parallelogram A. 0b. 25c. 4d. 7

Answers

Answer 1

Answer:

d. 7

Step-by-step explanation:

A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.

Thus:

3x - 17 = 25 - 3x

Add 3x from each side

3x - 17 + 3x = 25 - 3x + 3x

6x - 17 = 25

Add 17 to both sides

6x - 17 + 17 = 25 + 17

6x = 42

Divide both sides by 6

6x/6 = 42/6

x = 7


Related Questions

What is -20/64 in simplest form?

Answers

Answer:

-5/16

Step-by-step explanation:

-20 /64

Divide the top and bottom by 4

-5/16

Center (-1,5); passes through (-4,-6)

Answers

Answer:

what is the question

Step-by-step explanation:

A dealer marks a T-shirt with a price 20 PERCENT more than the cost price. It he sells it at a discount of I5 PERCENT.. What will be his gain Or loss percent ? (Take cost price as Rs 100)​

Answers

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

[tex]100 \times \frac{120}{100} = 120[/tex]

(20 percent more than cost price)

The discount he put: 15 percent

[tex]120 \times \frac{85}{100} [/tex]

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

solve for x with step by step explanation
0.85x - 100 < 80

;-; i don't understand how to solve this help

Answers

0.85x-100<80

collect like terms

0.85x<80+100

0.85x<180

divide by 0.85

x<211.8

someone help me with this please!!!!

Answers

Answer:

0*i+5j

Step-by-step explanation:

The vector is given by 0*i+5j

The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?

Answers

Answer:

The markup is 81.25%

Step-by-step explanation:

Take the new price and subtract the original price

58 - 32

26

Divide by the original price

26/32

.8125

Change to percent form

81.25%

The markup is 81.25%

find x
2 ^30 divided by 8^9= 2x

Answers

Answer:

see below

Step-by-step explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]

[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]

[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]

[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A rectangle with a perimeter of 113 units is dilated by a scale factor of 3. Find the
perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if
necessary.

Answers

Answer:

339 units

Step-by-step explanation:

You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.

The function c(n) below relates the number of bushels of apples picked at a pic-your-own orchard to find cost for the apples it takes as input the number bushels of apples picked after paying an entry fee to an orchard and it returns as output the cost of the apples (in dollars) c(n)=15n+30

Answers

Answer:

C(n) = 20n + 15  

y = 20n + 15  

20n = y - 15

n = (y - 15)/20

N(c) = (c-15)/20

Step-by-step explanation:

Answer:

N(c)= c-30/ 15

Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A

Answers

Answer:

[tex]V=90[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the cone

[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]

Plug in the values

[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]

Simplify and Solve

[tex]V = \frac{\pi *9*10}{3}[/tex]

[tex]V = \frac{90\pi }{3}[/tex]

[tex]V = \frac{90*3 }{3}[/tex]

[tex]V=90[/tex]

Answer:  [tex]V=90[/tex]

nent
Which expressions are equivalent to 7-2.76?
Choose 2 answers:
W
1
3 min
A
72
7-2
icals
B В
76
7-2
7-12
z 25
D
(72)2
molitvin

Answers

7^2/7^-2 and (7^2)^2

Find the missing side of triangle

Answers

Final Answer:

x = 20

Step-by-step explanation:

we'll be using the pythagorean theorem method, in this triangle the missing letter is a.

formula: [tex]a=\sqrt{c^2-b^2}[/tex]

a = x

b = 21

c = 29

a = [tex]\sqrt{29^2-21^2}[/tex]

a = [tex]\sqrt{841-441}[/tex]     (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)

a = [tex]\sqrt{400}[/tex]

a = 20

x = 20

Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)

Answers

Answer:

x=61.71428 or 61 5/7

Step-by-step explanation:

We can use a ratio to solve

7 pieces              12 pieces

-----------------   = ---------------

36 seconds          x seconds

Using cross products

7x = 36*12

7x = 432

Divide by 7

7x/7 = 432/7

61 5/7

x=61.71428

Answer:

66

Step-by-step explanation:

Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?

Select the correct prices in the table.

$12 $13 $14 $15

Answers

Answer:

The answer is actually 12 and 13.  

Step-by-step explanation:

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90. 

The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.

We have given that the table,  

What is the prices?

Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90.

To learn more about the price visit:

https://brainly.com/question/1153322

#SPJ2

help pllsssssssssssss

Answers

Answer:

abcd is a quadrilateral

so , d is ( -1,4 )

c is ( 0,-4 )

b is ( 0,-2)

and

a is ( 2,-2 )

The domain for f(x) and g(x) is all real numbers.


Let f(x) = x2 + 1 and g(x) = x4 − 1.


Find f · g.


A.
x6 + x4 − x2 − 1


B.
x4 + x2 − 1


C.
x8 + x4 − x2 + 1


D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.

Answers

Answer:

A

Step-by-step explanation:

(f*g)(x) = f(x) * g(x)

=(x2+1)(x4-1)=x6-x2+x4-1

Select the correct answer from each drop-down menu.
A student begins a proof of the law of cosines. His work is shown.

(png/image displayed in download)

The next step in the proof is to write an expression for the length of side AZ in terms of ____
Then the student should write an expression for the length of side AY in terms of____
Next he can use the ____
to relate x, y, z, and ____
(____) = blank, not known

1. blank choices
y,z and x
y,z and y
x,z and z

2. blank choices
z and Y
x and Z
z and X

3. blank choices
Pythagorean Theorem
Law of sines
tangent function

4. blank choices
X
Z
Y

Thanks for your time, have a nice day!

Answers

Answer:

1. y, z, and X

2. x and Z

3. Pythagorean theorem

4. X

Step-by-step explanation:

hope this helps

Find the area of the shaded region

Answers

Answer: Ssh=1323π

Step-by-step explanation:

The point O Centre  big circle r1=2r2=4 then radius small cirler r2=21Then S1=42²π=1764  ; S2=21²π=441 π  S(shaded)=S1-S2=?Ssh=(1764-441)π=1323π

what ia measurement in science​

Answers

Answer:

In science, a measurement is quantitative (in terms is which is heavier, lighter, fast, slow and all) or numerical data(numbers like 1m,1cm) that describes a property of an object or event.

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent

Answers

The question given is incomplete as the information about the headphones isn't given.

However, we can solve the problem by using hypothetical values.

Answer:

Kindly check explanation

Step-by-step explanation:

Given

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.

Let :

The number of defective headphones = 10

The total number of headphones on the sample = 50

To express as a ratio :

Defective headphones : total headphones

10 : 50 = 1 : 5

To express as a percentage ;

1 / 5 * 100% = 20%

find the image of O(-1, -3) after two reflections, first in the line y = -2, and then in the line x = -2

Answers

Answer:

The image of point O after these reflections is (-3, -1)

Step-by-step explanation:

For a point (x, y) a reflection across the line y = a transforms the point to:

(x, a + (a - y))

and for a reflection across the line x = b, the new point will be:

(b + (b - x), y)

Then if we start with the point (-1, -3) and we do a reflection across the line y = -2

the new point is:

(-1, -2 + (-2 - (-3))

(-1, -2 + 1) = (-1, -1)

now we do a reflection across the line x = -2

Then the new point is:

(-2 + (-2 - (-1)), -1)

(-2 + (-2 + 1), -1)

(-2 - 1, -1)

(-3, -1)

The image of point O after these reflections is (-3, -1)

Solve for n. 1/ n-4 - 2/n = 3/ 4 - n

Answers

Answer:

The answer is n = - 4.. I hope it will help :)

When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m

Answers

Answer:

B .62.5 m

Step-by-step explanation:

convert Kmh-1 in to ms-1

30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1

60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1

acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2

V^2 = U^2 +2aS

(16.6)^2 = (8.3)^2 + 2×1.66 ×S

S = 62.5 m

PLS HELP I'M SOO CONFUSED
Consider the arithmetic senes 336+ 332+328+....+4 Numeric Response 1 The number of terms in the series above is (Record your answer in the numerical-response section below) Your answer DCC Numeric Response 2. The sum of the series above is (Record your answer in the numerical-response section below) ​

Answers

The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is

336 - 4 (n - 1)

or

340 - 4n

The last term in this series is 4, so we solve for n :

340 - 4n = 4

336 = 4n

n = 336/4 = 84

The sum of the series is then

[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]

Recall that

[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]

Then the sum we want is

[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]

18
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is 32 cm.
Draw the rectangle on the centimetre grid.
.
4
54
B2
%

I did it wrong can someone help me

Answers

Answer:

Width = 4 cm

Length = 8 cm

Step-by-step explanation:

Hi there!

Let [tex]l[/tex] be equal to the length of the rectangle.

Let [tex]w[/tex] be equal to the width of the rectangle.

1) Determine equations to find the length and width

We're given that the length is two times the length of the width:

[tex]l=2w[/tex]

We're also given that the area of the rectangle is 32 cm². Recall that the area of a rectangle is [tex]A=lw[/tex]:

[tex]A=lw\\32=lw[/tex]

Now, we have our two equations:

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

2) Solve for the width using substitution

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

Replace [tex]l[/tex] in the second equation with [tex]2w[/tex] from the first equation:

[tex]32=(2w)w\\32=2w^2[/tex]

Divide both sides by 2 to isolate w²:

[tex]16=w^2[/tex]

Take the square root of both sides to isolate w:

[tex]\pm4=w[/tex]

Because width cannot be negative, w=4. Therefore, the width of the rectangle is 4 cm.

3) Solve for the length

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

Now, that we have the width (4 cm), we can solve for the length by plugging it back into one of the equations. Either of the equations work, but we can use the first:

[tex]l=2w\\l=2(4)\\l=8[/tex]

Therefore, the length of the rectangle is 8 cm.

3) Draw the rectangle

We can use what you had before as a foundation. You drew a rectangle with width 4 cm and length 7 cm. To draw the correct rectangle, add another row on top to make it 4 cm by 8 cm.

I hope this helps!

3. Express the mixed recurring decimal 15.732 in p/q form.​

Answers

Answer

15717/999

Step-by-step explanation

n=15.732732

10n=157.32732

100n=1573.27327

1000n=15732.732732

n= 15.732732

999n=15717

999 999

Answer:

3933/250

Step-by-step explanation:

27x + 24y= 4.5

1.5x + y =0.225

Answers

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

Answer:

the values for x AND y are 0.1 and 0.075 respectively

Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?

Answers

Side of base=5in

Perimeter:-4a

[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]

Height=10in

[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]

[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]

[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]

please answer this!!​

Answers

triangle is always 180

both sides are equal so both sides are 51
51+51=102

180-102=78

An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?

Answers

Step-by-step explanation:

I do hope that you understand through the steps in the attachment, if not kindly reach out!

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