Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.


Related Questions

What is an equation of the line that passes through the points (-6, -2) and
(-3, 2)?

Answers

Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

hi! I need help ! Triangles geometry angles table.

Answers

Answer:

145°

Step-by-step explanation:

[Finding the non-label angled in the triangle] 180° - 75° = 105°

Finding 3: (x = angle 3)

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180

[combine like terms] 145° + x = 180°

[subtracting 145 from both sides] 35° = x

    () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)

180 - 35 = 145°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

-10x + 2y = 12
What is each equation in slope intercept form

Answers

Answer:

[tex]y = 5\, x + 6[/tex].

Step-by-step explanation:

The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)

In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].

Rewrite the given equation to obtain the slope-intercept equation of this line.

[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)

[tex]2\, y = 10\, x + 12[/tex].

[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)

Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].

If p is inversely proportional to the square of q, and p is 8 when q is 3, determine p when q is equal to 2.

Answers

Answer:

16/3

Step-by-step explanation:

formula :

p = kq

k = 8/3

so that is k

it will be like this "p = 8/3 x"

p = 8 × 2 / 3

p = 16/3

cant divide 3 with 16.

so, "p = 16/3" is the answer

reduce 4/36 to simplest terms


a. 1/8

b. 2/13

c. 1/9

d. 2/12

PLS ANSWER THISS :D

Answers

Answer:

C

Step-by-step explanation:

HCF of 4 and 36 is 4

Divide the numerator and denominator by 4

[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]

What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25

Answers

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the diagonal ( hypotenuse ) be d , then

d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )

d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E

2. Which of the following shows a translation of f(x) two units to the left?
f(x - 2)
f(x)-
f(x + 2)
f(x) + 2

Answers

Answer:

f(x + 2)

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the left of a units

Here f(x) is translated 2 units to the left , then f(x + 2)

Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?

Answers

Answer:

33

Step-by-step explanation:

3*4*2.75=33

help me plz math is hard

Answers

The answer to that is c

Enter a digit in each box to complete the addition problem

Answers

Answer:

4.5 + 19.75 = 24.25

Find your missing digits with the equation above

Need this question done asap ⏰

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~

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

[tex] \dfrac{2 - ( - 1)}{1 - 0} [/tex]

[tex] \dfrac{2 + 1}{1} [/tex]

[tex]3[/tex]

I hope it helps ~

Answer:

After looking at the image you posted, I deduced that the correct answer should be slope= 3.

Step-by-step explanation:

I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]

Firstly:

I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).

Secondly:

I then found the difference between the two points on the graph to be

(1,3) or (x=1, y=3).

Thus:

The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.

At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?

Answers

Answer:

27 degrees

Step-by-step explanation:

it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did)  18-27=-9 and thats what the tempurture went down to in 8 hours

Given that f ( x ) = 3 x − 3 and g ( x ) = 2 x , evaluate g ( g ( − 4 ) )

Answers

Answer:

g(g(- 4)) = - 16

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained back into g(x)

g(- 4) = 2(- 4) = - 8 , then

g(- 8) = 2(- 8) = - 16

5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.​

Answers

Answer:

k = 7

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle value then the median is the average of the 2 values either side of the middle.

5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31

                          ↑ middle

Then

[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )

5k - 1 = 34 ( add 1 to both sides )

5k = 35 ( divide both sides by 5 )

k = 7

The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have:

5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order

The median of the data set is 17.

The mid-terms are 2k+1 ,3k-2

(2k + 1 + 3k - 2)/2 = 17

5k -1 = 34

5k = 34 + 1

5k = 35

k = 35/5

k = 7

Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.

Learn more about the median here:

brainly.com/question/21396105

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Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 1/2 feet from one end of the board. She then cuts the remaining section of board into 3 equal pieces.

Which equation can be used to determine the the length of each equal piece?

Answers

Answer:

3x+1 1/2=10

Step-by-step explanation:

k12

The solution is Option B.

The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total length of the board Gina has is = 10 feet

The first piece of length cut from the board is = 1 1/2 feet

So , the remaining piece of board = total length of the board Gina has - length cut from the board

And the equation is

The remaining piece of board = 10 - 1 1/2

Let the remaining piece of board be A

The remaining piece of board is cut into 3 equal pieces

Let the one remaining piece of board be = x

So , the three remaining pieces of board = 3x

Now , the equation will be

The remaining 3 pieces of board 3x =  remaining piece of board

So , substituting the values in the equation , we get

3x = 10 - 1 1/2

Adding 1 1/2 on both sides of the equation , we get

3x + 1 1/2 = 10

Therefore , the equation is 3x + 1 1/2 = 10

To learn more about equations click :

https://brainly.com/question/10413253

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I dont understand what to do and what the answer is

Answers

Answer:

-1

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(2-4)/(0+2)=-2/2=-1

Answer:

-1

Step-by-step explanation:

[tex]\frac{(4-2)}{(-2-0)}=\frac{2}{-2} \\\frac{2}{-2}= -1[/tex]

Here is what I did to find the slope:

We will use the first two rows

The first row will be x₂ and y

The second row will be x₁ and y

The equation to find any slope is: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]


there’s no actual question just this picture & multiple choices , please help .

Answers

Answer:

12

Step-by-step explanation:

There is a right angle formed, hence this triangle is a right-angled triangle.

Using Pythagoras Theorem,

[tex]a^2+b^2=c^2[/tex]

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=400-256=144[/tex]

[tex]b=12[/tex]

The missing length is 12

Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 4, negative 2) and (0, 0). Everything below the line is shaded.

Answers

Yes less then the negative times the less or equal

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

Answers

Answer:

letter D

thank me later....

PLEASE HELPPPPPPPPPPPPP

In a recent year, 34.7% of all registered doctors were female. If there were 48,900 female registered doctors that year, what was the total number of registered doctors?

ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER

Answers

Answer:

140922

Step-by-step explanation:

48900/34.7 = 1409.2219

1409.2219 *100 = 140922.19

rounded - 140922

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

1

Step-by-step explanation:

it means from Virginia to Florida you will drive more than 7 hours

A robot can complete 5 tasks in 34 hour.
Each task takes the same amount of time.
**Round to the hundredths place.
a. How long does it take the robot to
complete one task?

3/4 divided by 5 = 3/4, so it’s 3/4 hours per task

Answers

Answer:

6.8h

Step-by-step explanation:

5 tasks in 34h

So 1 task is taking 34/5 h

34/5 = 6.8h

1 task is taking 6.8h to complete

help algebra 2 look at all the pictures please multiple choice

Answers

Relation given:-

{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}

Inverse

{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}

#2

f(x)=2x-3

Let it be y

[tex]\\ \tt\hookrightarrow y=2x-3[/tex]

[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]

[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]

Write in terms of x

[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]

Solve for m.
13m – 34m + 42m - 22m + 8 = -41

Answers

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

-m + 8-8 = -41 -8

Simplify

Subtract the numbers

-m = -49

Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?

Answers

It’s either $2 or $1.50

Can anyone please answer this question properly with explanation
I need explanation
EXPLANATION
DONT ANSWER IF YOU DON’T HAVE A EXPLANATION PLEASE

Answers

Answer:  See below.

Step-by-step explanation:

We'll assume the top and bottom lines are parallel.  That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line.  The sum of angles 1 and 2 is also 90°.  The interior angles of a triangle must add to 180°. So far we have two:  90° and 60°.  The third must therefore be 30°(angle 2).  Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other.  Angle 1 must be (90°- angle 2), which makes it 60°.  

1.  60°

2. 30°

3.  120°

4.  60°

5.  90°

Plsss some one help with this

Answers

Answer:

the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12

Can you help me I have a basketball game Tuesday and if I don’t pass I can’t play plz !!

Answers

Answer:  109

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

Explanation:

Angles A and B are supplementary which mean they combine to form a straight line. This further means the angles add to 180.

A+B = 180

(8x-27) + (4x+3) = 180

(8x+4x) + (-27+3) = 180

12x-24 = 180

12x = 180+24

12x = 204

x = 204/12

x = 17

Use this x value to find angles A and B

A = 8x-27 = 8*17-27 = 109B = 4x+3 = 4*17+3 = 71

Note how A+B = 109+71 = 180 to help verify the answer.

Answer:

109

Step-by-step explanation:

supplementary angles equals 180 degrees

8x-27+4x+3=180

12x-24=180

12x=204

x=17

Then you put the 17 where the x is

8(17)-27=109

What percentage of businesses are using social media today? 35 percent 50 percent 65 percent 80 percent

Answers

Answer:

80

Step-by-step explanation:

please answer the question fast with step by step explanation​

Answers

I forgot how it is step by step but I think the answer is 15
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