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

Find The Value Of X For Which ABCD Must Be A Parallelogram.

Answers

Answer 1
For a parallelogram, the parallel sides must be the same length. This means you can set their lengths equal to each other. Get like terms on the same side to calculate x.

3x-5=2x+3
3x-5+5=2x+3+5
3x=2x+8
3x-2x=2x-2x+8
x=8

x=8

Related Questions

UNIQUE
SIZE
What Does Cate Often
Call Her Twin Sister?

Answers

Answer:

a dupli-CATE

Step-by-step explanation:

HAHAHAHA OMG THIS IS ACTUALLY FUNNY

What is the measure of arc XZ if the angle equals 135 and the radius is 17 km

Answers

now, let's make the assumption that the arcXZ has a central angle of 135° and a radius of 17.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=17\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (17)}{180}\implies s=\cfrac{51\pi }{4}\implies s\approx 40.06[/tex]

if you could just tell me what I should say in the presentation, that would be great :) thx

Answers

Answer:

we're u asking for this

What is ur statistical question

What is the rule and how do you find n? 100 points and brainliest to answer!

Answers

Answer:

n = 6

Step-by-step explanation:

Let's convert the x and y values into (x,y) form.

(x, y) ⇒ (3, 5), (4, 7), (n, 11), (8, 15)

Now, let's find the rule in slope intercept form. To find the equation in slope intercept form, pick any two points. Then find the slope of the line.

⇒ (3, 5) and (4, 7)

Now, find the slope using the slope formula.

[tex]\dfrac{y_{2} - y_1}{x_2 - x_1} = \text{Slope}[/tex]

[tex]\rightarrow \dfrac{7 - 5}{4 - 3} = \text{Slope}[/tex]

[tex]\rightarrow \dfrac{2}{1} = 2 =\text{Slope}[/tex]

Now, let's use point slope form to find the equation in slope intercept form.

[tex]y - 5 = 2(x - 3)[/tex]

[tex]\rightarrow y - 5 = 2x - 6[/tex]

[tex]\rightarrow y = 2x - 1 \ \ \ \ \ (\text{Rule})[/tex]

Now, substitute the value of y into the equation.

[tex]11 = 2x - 1[/tex]

[tex]\rightarrow 12 = 2x[/tex]

[tex]\rightarrow \boxed{x = n = 6}[/tex]

Take two points find equation

(3,5)(4,7)

Slope:-

m=7-5/4-3=2

Equation in point slope form

y-5=2(x-3)y=2x-6+5y=2x-1

Now put n

11=2n-12n=12n=6

7k^2=21,952

Volume of cylinders, cones, and spheres
What is the answer please

Answers

Answer:56Step-by-step explanation:7k²=21952

k²=21952/7

k²=3136

k=√3136

k=56

PLS MARK ME AS BRAINLIEST

Estimate the difference.

Answers

Answer:

498. 498/6 = 83.

Step-by-step explanation:

Given g(x)=5x-3g(x)=5x−3, find g(-4)g(−4).
g(x)=5x-3
g(x)=5x−3
g(\color{green}{-4})=5(\color{green}{-4})-3
g(−4)=5(−4)−3
Plug input into x
-20-3
−20−3
Multiply
-23
−23

Answers

Answer:

the answer is 529

Step-by-step explanation:

see the explanation photo

Find the distance between the two points in simplest radical form.

Answers

Answer:

  13 units

Step-by-step explanation:

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is ...

  d² = 12² +5² = 144 +25 = 169

  d = √169 = 13

The distance between the two points is 13 units.

_____

Additional comment

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.

A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.

The other parameters are [tex]n = 50, \pi = 0.67[/tex].

Then, the bounds of the interval are given as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]

The 83% confidence interval is (0.5789, 0.7611).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

CI = (57.89%, 76.14%)

Step-by-step explanation:

First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.

Need help! Here's the question...
John invests £8000 for n years in a savings account.
To find the value, V ,of her investment after n years he uses the formula:
V=8000*(1.025)^n
a)Write down the annual rate of interest John earns

Answers

Answer:

the answer is 2.5%

Step-by-step explanation:

im good at math

Hope this helps!

Paul is running Tennis shop. He sells balls and rackets. Rackets (R) cost $1.20 each and Balls (B) cost $2:0 each. At the end of a month, Paul made a total of $70 and sold a total of 90 Rackets and Balls combined. Which system of equations represents this situation?

A. 2R + 1.20B = 90, B - R = 160.
B. 1.20R + 2B = 90, R - B = 90
C. 1.20R + 2B = 70, and R + B = 90
D. 1.20B + 2R = 90 and 2B + R = 70

Answers

The system of equations that represent the situation are 1.20R + 2B = 70, and R + B = 90.

What are the system of equations?

The system of equations are sets of equations that have to be solved simultaneously in order to determine their required values. They are often referred to as simultaneous equations.

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

what is 12x + 11y - 4x -5y

Answers

Answer:

8x+6y

Step-by-step explanation:

Combine like terms:

12x-4x=8x

+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])

Answer:

8x + 6y

Step-by-step explanation:

1) Rearrange terms and combine like terms:

12x + 11y - 4x - 5y —> 12x - 4x +11y - 5y

2.Simplify (aka add/subtract like terms)

12x - 4x +11y - 5y

- 12x - 4x = 8x

- 11y - 5y = 6y

= 8x + 6y

Hence, 8x + 6y is your answer :)

Translate the following phrase to an expression: the difference between twenty and twice a number.

Answers

Answer:

20 - 2n

n = a number

Mr. Wilson bought a bag of birdseed and put half of it in his bird feeder. He split the other half equally among his 4 pet birds. How much of the bag did each pet bird get?

Answers

Answer:

each pet bird got 1/8 of the bag of birdseed

Step-by-step explanation:

the easiest way to do this is to divide the bag into eighths. if you divide the bag into eighths, 4/8 of the bag, being half, goes into the bird feeder. the other 4/8 of the bag is divided among Mr. Wilson's four pet birds, leaving each bird to get 1/4 of the bag when split evenly.

hope this helps

Given the function g(x)=√x+4, which of the following values cannot be the domain of g?
A. X=1
B. X=2
C. X=12
D. X=-5

Answers

Answer:

  D.  x = -5

Step-by-step explanation:

The square root function is only defined for non-negative arguments. For the function ...

  [tex]g(x)=\sqrt{x+4}[/tex]

this means we must have ...

  x +4 ≥ 0

  x ≥ -4 . . . . . . subtract 4 from both sides

All of the numbers on your answer choice list are more than -4 except -5.

  x = -5 is not in the domain of g(x)

which is larger 0.849 or 1.08

Answers

Answer:

the answer to this question is 1.08

Please Help me Its A Math Problem !!! I will AWARD BRAINLIST...

Answers

Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

putting the equation in vertex formevaluating the function on the axis of symmetrygraphing the function

__

Vertex Form

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

Axis of Symmetry

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

Graphing

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

All digits in a dropdown number are different and one of the digits is the average of all the digits. it has at least two digits. for example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.

Answers

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

How to determine the smallest dropdown number?

From the question, we have the following parameters:

The dropdown number is 4-digitThe digits are different.

We start counting from 1023, 1024, 1025, 1026...........

The sum of digits in 1023 is 6, and the average is 1.5The sum of digits in 1024 is 7, and the average is 1.75The sum of digits in 1025 is 8, and the average is 2

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

Read more about combination at:

https://brainly.com/question/11732255

please help

i added a picture ​

Answers

Should be 51 miles when they started and 18 miles per day

i am stuck on this question please help me

Answers

Answer:

h = 8 units, b = 20 units

Step-by-step explanation:

h = 2 units
2 x 4 = 8

b = 5 units
5 x 4 = 20 units

Therefore, h = 8 units and b = 20 units

Hope this helps :)

Mary walks to her garage. The distance to the garage as a function of time is shown in this graph

A. Mary starts 8 meters from the garage.

B. Mary walks 8 meters every 4 seconds.

C. Mary arrives at the garage after 4 seconds.

D. Mary walks at a speed of 2 meters per second.

Answers

Answer:

d

Step-by-step explanation:

so if you look at the bottom left corner you can see 1 box is the same as saying for every second someone walks its one metre.

thats not how i got the answer though.

if you look at the starting point at 8 because she was 8 meters away you need to see when she comes across her first second which after 2 meters (Goes down two squares before reaching the first second)

now technically soe of the other answers are correct too but heres how i thought about it.

A. its correct but i dont think that's what its asking you for tbh

B. This we don't know for sure. eg she could take 890 seconds walking back to her starting point we just don't know for sure.

C. This is also true but once again it's easily given to you so i dont think that's what you're being asked.

D. This is the only option where you had to do any for of working out because s=d/t so s=8/4=2m/s

A triangular bandana has an area of 38 square inches. The height of the triangle is 9
inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base.

Answers

Answer:

Base=8.4 inches

Step-by-step explanation:

Area of triangular bandana is 38sq inches

Height of triangle is 9 inches

Area of ∆ =½×b×h

38=½×b×9

38×2=b×9

76/9=b

b=8.4 inches

Spencer owns a taxi cab company. He charges customers a base fee of $5 and an extra $2 for each mile traveled. If F represents a customer's fare (in dollars) and d represents the distance traveled (in miles draw a graph representing the relationship between F and d​

Answers

Answer:

Let F = customer's fare (in dollars)

Let d = distance traveled (in miles)

Given:

Base fee = $5Charge per mile = $2 per mile

Creating an equation from given information:

F = 2d + 5

This is a linear equation, with slope of 2 and y-intercept of (0, 5)

**see attached graph**

Answer:

See below ↓

Step-by-step explanation:

Given :

Base fee = $5Per extra mile = $2

Solving :

With F as the total customer fare and d is the distance covered the equation will be :-F = 2d + 5In terms of x and y, it can be written as :y = 2x + 5Graph is given below

ILL MARK BRAINILEST !! 80 POINTS
Question 1: 11 pts
Find the vertex of the parabola y = x2 - 10x + 16.
A. (-5,91)
B. (-9,5)
C. (5,-9)
D. (8,0) and (2,0)

Answers

[tex]\\ \rm\rightarrowtail y=x^2-10x+16[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+16+9-9[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+25-9[/tex]

[tex]\\ \rm\rightarrowtail y=(x-5)^2-9[/tex]

Vertex form

y=a(x-h)^2+k

So

vertex:-

(h,k)=(5,-9)

1) Find the slope of the line

2) find the slope between the two points

help please, thank you

Answers

Answer:

1 = 3/2

2 = -1/14

Step-by-step explanation:

The equation for the slope of a line is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] (difference in Y divided by the difference in X) or simply just Rise/Run.

For the first one, we have to pinpoint two points on the graph. There's one point placed on the x-axis 2 units away from the origin (2,0) and one four units to the right and 3 units up from the origin (4,3). Since it's on a graph, the easiest way to calculate it is by counting the units up and then right from (2,0) to (4,3). You can count that (4,3) is 3 units up and 2 units right from (2,0). Since slope is Rise/Run, the slope is 3/2.

For the second one, you can use the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. The Y of the second point is 2, and the Y of the first point is 1. The X of the second point is -17, and the X of the first point is -3.

You can plug all 4 numbers in to get (2-1)/(-17- -3)

2-1 = 1 and -17 - -3 = -14. So your slope is 1/-14 or -1/14.

line d has a slope of 7/3. line e is perpendicular to line d. what is the slope of line e?

Answers

hello!

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

Here we have the number:-

[tex]\boxed{\frac{7}{3}}[/tex]

Flop it over:-

[tex]\boxed{\frac{3}{7} }\longleftarrow\sf{the~numerator~and~denominator~switch~places}[/tex]

Change its sign:-

[tex]\boxed{-\frac{3}{7}}[/tex]

Hence, the slope of line e is:-

[tex]\bigstar{\boxed{\pmb{Slope=-\frac{3}{7}}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

There are 777 students in a class: 222 boys and 555 girls. If the teacher picks a group of 333 at random, what is the probability that everyone in the group is a girl?

Answers

The probability is 0.1429.

The probability that the first person chosen is a boy is 5/7. The probability that the second is a boy is 4/6; the third, 3/5; and the fourth, 2/4. Both the numerator and denominator decrease every time, because you lose a boy to choose from and you lose a student to choose from as well. This gives us:

5/7(4/6)(3/5)(2/4) = 120/840 = 0.1429.

The probability that everyone in the group is a girl is 2/7.

What is probability?

Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.

Total number of students in a class = 7

Number of boys students = 2

Number of girls students = 5

The probability that everyone in the group is a girl is;

[tex]\rm Probability =\dfrac{Total \ number \ of \ girls}{Total \ number \ of \ boys}\\\\Probability=\dfrac{2}{7}[/tex]

Hence, the probability that everyone in the group is a girl is 2/7.

Learn more about probability here;

https://brainly.com/question/14461856

#SPJ4

help please thank you!!!

Answers

Answer:

3/4 · 1/4 = 3/16

Step-by-step explanation:

We can see from the picture that

yellow is

4 boxes out of the entire group of 16 boxes, hence 4/16

OR simplified

1 horizontal strip out or 4 total same horizontal strips, hence 1/4

blue is

12 boxes out of the entire group of 16 boxes, hence 12/16

OR simplified

3 vertical strips out or 4 total vertical strips, hence 3/4

The multiplication problem is

1/4 · 3/4 = 3/16 or 3/4 · 1/4 = 3/16

The result is 3 green boxes out of all 16 boxes.

(3/16 can not be simplified)

Helppppp!!!!!!!!!
I need this before midnight

Answers

Answer:

a) 9am

b) 10am

c) 50 miles

d) 30 minutes

e) 11:30

f) 90 miles

Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50 What is the percentage change in her hourly rate? ​

Answers

Percentage Change = (new rate - old rate) / (old rate)

New Rate = 11.5

Old Rate = 10

(11.5 - 10) / 10

1.5 / 10 = 15 / 100 = 0.15 = 15%

The percentage change in her hourly rate is 15%.

Hope this helps!

the percentage change =

( new-old / old ) x 100


(11.50-10)/10 = 0.15

0.15 x 100 = 15%
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