If one pair of opposite sides of a quadrilateral is both congruent and____ then the quadrilateral is a parallelogram then the

Answers

Answer 1

Answer:

parallel

a quadrilateral can be a parallelogram only and only if pair of opposite sides are equal and parallel.


Related Questions


(a - b)(2x-3)+(6x+7)(a+b)
Factorise

Answers

Answer:

2(4ax+2bx+2a+5b)

Step-by-step explanation:

How many calories does the bran muffin contain? 400 calories 200 calories 650 calories 800 calories

Answers

Answer:

400 calories

Step-by-step explanation:

A bran muffin has around 380 calories, when rounded off it is 400 calories.

Hope I helped

Answer:

A. 400 Calories.

Step-by-step explanation:

Look it up on the net.

If this is wrong, it is because there wasn't enough information given.

Hope this helps!

If not, I am sorry.

help me deadline today

Answers

Answer:

6

Step-by-step explanation:

The equation becomes 9 *4 * 1/6. Then you simplify and get 6.

Please mark me as Brainliest if it is correct, thx.

(x - 4)/(x + 6) - (x - 6)/(x + 4)​

Answers

Answer:

[tex]\frac{20}{(x+4)(x+6)}[/tex]

Step-by-step explanation:

assuming you require the expression simplified

[tex]\frac{x-4}{x+6}[/tex] - [tex]\frac{x-6}{x+4}[/tex]

multiply the numerator/denominator of the first fraction by (x + 4)

multiply the numerator/denominator of the second fraction by (x + 6)

= [tex]\frac{(x-4)(x+4)}{(x+4)(x+6)}[/tex] - [tex]\frac{(x-6)(x+6)}{(x+4)(x+6)}[/tex] ← expand and simplify numerators leaving the common denominator

= [tex]\frac{x^2-16-(x^2-36)}{(x+4)(x+6)}[/tex]

= [tex]\frac{x^2-16-x^2+36}{(x+4)(x+6)}[/tex]

= [tex]\frac{20}{(x+4)(x+6)}[/tex]

Prove the triangles a re similar

Answers

Step-by-step explanation:

LINE B.I is parallel to LINE O.D

therefore :Ô = Î ( alternate angles )

: Ď = B ( alternate angles )

In ️ B. I. G and ️ D O G

O = I ( alternate angles)D = B ( alternate angles)G = G ( 3rd angle of️ )

️ BIG is similar to ️ DOG

PLEASE HURRY

Let p: A student plays basketball.

Let q: A student plays tennis.




How many students play both basketball and tennis?

Answers

Answer:

4

Step-by-step explanation:

4 is the intersecting point which states p intersect q giving both tennis and basketball players

lcm of 15,18,21
lcm of 56 84 140
lcm

Answers

Step-by-step explanation:

The lcm of first question is 630 and second is 840

Answer:

LCM of 15,18,21: 630

LCM of 56,84,140: 840

Step-by-step explanation:

The right method is to list all the multiples of the number and circle the least common ones. In this way you will get your answer for any LCM question!

A company ordered $6,000 worth of chairs. Some of the chairs ordered cost $20 each and the others cost $40 each. If twice as many $20 chairs as $40 chairs were ordered, how many chairs were ordered altogether

Answers

In total 180 chairs are ordered for the cost $6000.

The total cost of chairs=$6,000.

What are simultaneous equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let x be the chairs ordered each at $20 and y be the chairs ordered each at $40.

Then equation will be 20x+40y=6000-------(1)

Given that, twice as many $20 chairs as $40 chairs were ordered.

That is 2x=y⇒2x-y=0--------(2)

Multiply equation (2) by 40.

That is 80x-40y=0--------(3)

By adding equation (2) and (3) we get

20x+40y+80x-40y=6000

⇒100x=6000

⇒x=60

Substitute x=60 in equation (2)

That is, 2x=y

⇒y=120

Total number of chairs=x+y=60+120=180 chairs.

Hence, in total 180 chairs are ordered for the cost $6000.

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Solve |x| > -9.

1. no solution
2. all reals
3. {x | x < -9 or x > 9}

Answers

Answer:

2. All reals

Step-by-step explanation:

It covers everything as absolute value (distance from 0)

If you graph it you will see

Answer:  All reals

Reason:

Absolute value represents distance on a number line. Specifically it's the distance from x to 0.

For example, |-2| = 2 means -2 is 2 units away from 0.

Since |x| represents a distance, we cannot have negative distance. So |x| is either 0 or positive. Furthermore, it means |x| is larger than any negative value you pick.

Therefore, |x| > -9 is true for any x value and it's why we go for "all reals" (aka "all real numbers")

Ving tools to form the correct answer on the graph.
Graph the line that represents this equation:
y + 2 =
(x+2)
Drawing Tools
Select
Point
Line
Click on a tool to begin drawing.
10
N
27

Answers

The graph of the equation is shown in the attached picture which is a straight line.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a graph of a equation:

y + 2 = (x+2)

or

y = x

The above equation is a linear equation or straight line equation the slope of the equation is 1.

m = 1

The y-intercept of the equation is 0.

We can plot the equation y = x by using the slope and y-intercept.

Thus, the graph of the equation is shown in the attached picture which is a straight line.

Learn more about the straight line here:

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Help Me Uhm In 5th Grade I'm behind in school work and I have to finish by august when my school starts pls help I'm stuck on this question

Answers

B

To find the average you add them all up and divide by how many numbers there are. 2+3+6+13+16=40 There are 5 numbers so 40/5=8

A would be 7 and c would be 9, so the answer is b.

PLEASE HELP! SO CONFUSED! 25 POINTS!!

Answers

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (x + 4)(3x² - 7)

each term in the second factor is multiplied by each term in the first factor , that is

x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28 ← in standard form

The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. The t-test for two means is appropriate in this situation because Group of answer choices women and men are dependent samples. women and men are independent samples. women and men are matched samples. the observations are paired. None of these.

Answers

The t-test for the two means is appropriate in this situation because women and men are independent samples.

What are Independent Samples?

Independent samples are chosen randomly, ensuring that their results are independent of other observations' values.

The premise that samples are independent underlies many statistical analyses. Others are made to evaluate non-independent sample sets.

The samples of men and women are independent since their results are independent of other observations' values.

The Independent Samples t-Test analyzes the means of two separate groups to see if there is statistical support that the population means values are statistically substantially different.

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Which shows how to find the value of this expression when X=-2 and Y = 5?

(3x®y-2)2

32 (-2)

54

3(-2)6

54

32(5) 6

(-2)

3

(2) 854

Answers

Answer:

(3^2(-2)^6)/5^4

Step-by-step explanation:

See attached image.

Desiree is given an aptitude test with 50 multiple-choice questions. For every correct answer, Desiree will get 3 points. For every wrong answer, 1 point will be deducted. For every question unanswered, 0.5 point is deducted. Desiree did not leave any question unanswered and gets 110 points on the test.
If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is
and the equation will have
.

Answers

Total number of multiple-choice questions that Desiree has to answer in Aptitude test = 50

Points given for every correct Answer = +3

Points deducted for every Incorrect Answer = -1

For every question unanswered ,

points Deducted = -0.5

Total Points Obtained by Desiree after Answering all the questions = 110

Number of Answers that Desiree answered correctly = x questions

Number of Incorrect Answers = (50 - x) questions

Then,the Equation representing above situation

→ 3 × x + ( -1 ) × ( 50 - x ) = 110

⇒3x - 50 + x = 110 ----------- equation that represents the given situation

⇒ 4x - 50 = 110

Adding 50, on both sides

→ 4x - 50 + 50 = 110 + 50

⇒ 4x = 160

Dividing both sides by, 4 we get

x = 40

Number of correct answers given by Desiree= 40 questions

Number of Incorrect Answers = 50 - 40

= 10 Questions .

Answer:

Desiree is given an aptitude test with 50 multiple-choice questions. For every correct answer, Desiree will get 3 points. For every wrong answer, 1 point will be deducted. For every question unanswered, 0.5 points is deducted. Desiree did not leave any questions unanswered and gets 110 points on the test.

If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is

3(50 - x) + x = 110

and the equation will have

no solution

.

Step-by-step explanation:

WILL GIVE BRAINLYEST
Find measure of X and Y
X=

Y=

Part B:
Choose the correct degree measure for JKL
A. 98
B. 65.5
C. 262
D. 24.5

Answers

Part a
X=14
Y=8
Part b
C

Answer:

x = 7 y = 4 JKL = 262 degrees

Step-by-step explanation:

According to a circle theorem, sum of the opposite angles in a circle which touch its circumference must equal 180, hence:

7x + 131 = 180

x = 7

According to another theorem, a quadrilateral inside a circle must equal 360 so:

99 + 7(7) + 131 + 11(7) + y = 360

Note: remember to substitute 7 for all values of x

y = 4

The angle subtended by an arc at the centre is twice the angle subtended at the circumference

Following this rule, we can conclude that:

2(7x) or 2(2 x 7) = 2(49) which is 98

Lastly, 360 - 98 = 262

Javier is comparing costs of two cars. Car A costs $130 per month for insurance and $0.10 per mile to run. Car B costs $108 per month for insurance and $0.15 per mile to run. He defines x as the number of miles driven each month and y as the total cost to run the car. Which set of equations can be used to find the number of miles Javier would need to drive to make the costs equal?
0.10 x = 130. 0.15 y = 108
y = 0.10 x + 130. y = 0.15 x + 108
0.10 x = 108. 0.15 y = 130
y = 0.15 x + 130. y = 0.10 x + 108

Answers

Answer:

y = 0.10 x + 130. y = 0.15 x + 108

Step-by-step explanation:

0.10 and 0.15 are the slope in the equation y = mx + b since it requires an input (number of miles) to spit out an output (number of miles*0.10 = price) and the x intercept is 130 and 108 creating the equation  y = 0.10 x + 130. y = 0.15 x + 108.

How many square feet of outdoor carpet will we need for this hole.

Answers

Step-by-step explanation:

area of rectangle= 12×6

=72ft^2

A2=9ft^2 whereby the base of the hole is 3ft

height is 6ft

therefore the square is 18 ft

What is the constant in the expression?

Answers

Answer:

12

Step-by-step explanation:

A constant in an expression is the number that is not attached to any variable, and this includes the sign that comes with the number.

0.05m +12

In the expression above, m is the variable thus 0.05 is known as the coefficient of m instead of a constant. Coefficients are numbers that are multiplied to variables.

+12, which can simply be written as 12, is not multiplied to any variable and is thus the constant.

The value of the number 12 will not change no matter the value of m. The fact that the value stays the same makes it a constant.

Additional:

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Answer: 12 ✅

Step-by-step explanation:

Hii, I'd love to help you! (:

This problem is about finding the constant in the expression. This is fun! Let's start our search...

____________________________________________

Wait, how can we find a constant if we don't even know what it is?

No reason to panic!

Constants

A constant is a number that is not added (or subtracted) from any variables (and a variable is a letter).

_____________________________________________

Ohh now it's easy as winking!

Because the only number in this particular expression that is not added to any letters at all is 12.

______________________________________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

HELP I REALLY NEED HELP

Answers

Answer: 72 inches squared

Step-by-step explanation:

So, the real floor of a classroom is 36 feet by 32 feet.

And the scale drawing, has length of the classroom equal to 9 inches.

What is the area in square inches of the floor in the scale drawing

1 foot = 12 inches

The length of the classroom, measured in feet, has been multiplied by 12, to get converted in inches. After that, it has been divided by a number, a proportion, to get to 9 inches.

36feet * 12 / x = 9 inches

432 inches / x = 9 inches

Now, to solve for x, we can cross-multiply

432 inches = 9x inches

Divide 9 inches on both sides.

x = 48

To solve the exercise, we need to calculate the floor's area in the scale drawing.

We have the length = 9 inches.

Now, let's calculate the width

Width = 32 feet * 12 / 48

Width = 384 inches / 48

Width = 8 inches

Area = Length * Width

Area = 9 inches * 8 inches

Area = 72 inches squared

Hope I helped!

ax +by = 16
3x+2y=64

In the system of equations, a and b are constants. if the system has infinitely many solutions, what's the value of ab?

Answers

Answer:

The system has infinitely many solutions when a = 3/4 and b = 1/2

Given

System of linear equations

ax +by = 163x+2y=64

To find

Values of a and b that leads to infinitely many solutions

Solution

The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.

We can solve it in two different ways

1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.

4ax + 4by = 643x + 2y = 64

When compared it gives us:

4a = 3 ⇒ a = 3/44b = 2 ⇒ b = 2/4 = 1/2

2. Convert both equations from standard to slope-intercept form and compare:

ax + by = 16by = -ax + 16y = - (a/b)x + 16/b

3x + 2y = 642y = - 3x + 64y = - (3/2)x + 32

Work out values of a and b:

16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2- (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4

PLEASE HELP ASAP
(Picture shown)

Answers

Answer:

first blank: 3

second blank: 4

Step-by-step explanation:

The completed equation should say:

y = -3x + 4

This is slope-intercept form of the equation. It's a fill-in-the-blank equation. You put the slope in the first blank and the y-intercept in the second blank. Your math program put the negative sign in and it does need to be there. To find the slope, look at the points on the line. To get from one point to the next you go DOWN3 and over 1. DOWN3 and OVER1 is the slope -3/1, which is -3. This number goes beside (in front of) the x. The line crosses the y-axis at 4, fill that in at the end of the equation (the second blank).

The equation for the line is

y = -3x + 4

There are 10 marbles in a bag. are red and the others are blue. 5 What is the ratio of red marbles to blue marbles? Question 11 * 1 There are 10 marbles in a bag . are red and the others are blue . 5 What is the ratio of red marbles to blue marbles ?​

Answers

Answer:

%50 1÷2

if there is missing information. if there is 10 total marbels 5 would be red, 5would be blue.

? Question The point (x, y) is first rotated 180° clockwise about the origin, translated 6 units to the left, and then reflected across the line y = x. Write a function S to represent the sequence of transformations applied to the point (x, y).

Answers

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Transformation of coordinates

Transformation is a technique used to change the position of an object on an xy-plane.

Given the coordinate (x, y)

Rotation of the coordinate by 180° clockwise about the origin will given;

(x, y) - > (-x, -y)

If the result is translated 6 units to the left, then;

(-x, -y) -> (-x-6, -y)

If it is then reflected across the line y = x, we will switch the coordinates to have:

(-x-6, -y) -> (-y, -x - 6)

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

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work out the length x in the triangle

Answers

Answer:

The length x is 16 m

==============

Imagine the height of the triangle is h, which is perpendicular to 15 m side.

The area is:

A = bh/2

Use this formula and given values and find the value of h:

60 = 15h/2h = 60*2/15h = 8 m

Since h is opposite to 30° angle and x is the hypotenuse of the formed right triangle, we'll use the property of 30°x60°x90° triangle.

Hypotenuse is twice the length of the side opposite to 30° angle.

In our case h is opposite to 30° angle, therefore we have:

x = 2h = 2*8 = 16 m

Answer:

x = 16

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides of the triangle and C the angle between them

here a = 15, b = x, C = 30° and A = 60 , then

[tex]\frac{1}{2}[/tex] × 15 × x × sin30° = 60

7.5x × [tex]\frac{1}{2}[/tex] = 60 ( multiply both sides by 2 to clear the fraction )

7.5x = 120 ( divide both sides by 7.5 )

x = 16

[39/(15-2)|-(2*9)

please solve and show steps! thx!

Answers

Answer:

- 15

Step-by-step explanation:

1) Simplify 15 - 2 to 13.

39/13  - 2 × 9

2) Simplify 39/13 to 3.

3 - 2 × 9

3) Simplify 2 × 9 to 18.

3 - 18

4) Simplify.

- 15

the population of blackbirds in a park is counted every year.
the population decreases by 24% to 323
what was the original population?

Answers

Answer:

the original population was 425

Step-by-step explanation:

Answer:

425

Step-by-step explanation:

Let the original population of blackbirds be x.

Original population              decreases by                   New population

          100                                     24                                       76

            x                                        24                                     323

Now we can make an expression like this.

100  ⇒  76

x     ⇒   323

And now let us use cross multiplication and solve for x.

Let us solve it now.

323 × 100 = 76x

32300 = 76x

425=  x

Here is a rectangle.
A (-3,0)
D(-2,-3)
B (3,2)
C (4,-1) What is CD unit number?

Answers

Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

The distance of CD = root under

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

dsfghjmbhjghcvjkjjbhvgjjbkjguy8uygiyugykfgjhgghgjk

Answers

The equation y = 1/3x - 2 passes through the diagonals of ZDRN

How to determine the end result?

The points are given as:

Z = (-3, -1)

D= (3, -1)

R = (3, -3)

N = (-3, -3)

The equation of the line is given as:

y = 1/3x - 2

When the points and the line equation are plotted in a graph on the same coordinate (see attachment), we can see that the equation y = 1/3x - 2 passes through the points Z = (-3, -1) and N = (-3, -3)

These points are the diagonals of the shape formed by the four points

Hence, the equation y = 1/3x - 2 passes through the diagonals of ZDRN

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WILL MARK BRAINLEST
Fill in the missing work and justification for step 5 when solving 4(x + 1) = 8.



Step Work Justification

1 4(x + 1) = 8 Given

2 4x + 4 = 8 Distributive Property

3 4x + 4 − 4 = 8 − 4 Subtraction Property of Equality

4 4x = 4 Simplify

5

6 x = 1 Simplify

A 4x − 4 = 4 − 4; Subtraction Property of Equality

B 4x + 4 = 4 + 4; Addition Property of Equality

c Four times x over four equals four over four; Division Property of Equality

d 4x(4) = 4(4); Multiplication Property of Equality

Answers

Answer:

c) Four times x over four equals four over four; Division Property of Equality

===========================

Given equation and steps to solve it:

4(x + 1) = 84x + 4 = 84x + 4 - 4 = 8 - 44x = 44x/4 = 4/4                        This is the missing stepx = 1

All steps given above including the missing one. As we can see, we divided both sides by 4, so the justification for this step is Division Property of Equality.

Hence, the correct choice is C.

Answer:

Four times x over four equals four over four; Division Property of Equality

Option C

Step-by-step explanation:

See on antepenultimate step

4x=4

Now for getting x we have to divide each side by 4

We get.

4x)4=4/4x=1
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