Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. Then find the area of the quadrilateral. A(2, -3), B(7, -3), C(9, 2), D(4, 2)

Answers

Answer 1

Answer: Parallelogram,  Area = 25 units²  

Step-by-step explanation:    

Step 1: Find the lengths of all of the sides (use Pythagorean Theorem, distance formula, or count the spaces on the graph)

Step 2: Find the slopes of each line

Step 3: Evaluate the slopes to see if any are parallel (same slope) or perpendicular (opposite reciprocal slopes)  


see attachment

Given The Coordinates Of The Vertices Of A Quadrilateral, Determine Whether It Is A Square, A Rectangle,

Related Questions

How do I multiply (4-√2)(5+√3)

Answers

Answer:

17.4076456756

Step-by-step explanation:


The weight of wrestlers on the team varies by 74 lbs is that mean,median,range or mode

Answers

Hmmm, I think it sound more like the average. So mean. I'm not 100% sure but it isn't the median or the mode.


A company sells name plates for doors. An employee takes a random sample of name plates, measures the length of each name (in inches), and counts the number of letters in each name. She generates the scatterplot and trend line equation shown below.

A customer would like the company to build him a name plate that is 22 inches long. What is the best estimate of the number of letters the company can have on the name plate?
A. 9
B. 10
C. 12
D. 39

Answers

Answer:

C. 12  

Step-by-step explanation:    

We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).

The given equation is: [tex]y=1.75x+0.5[/tex]

To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.

[tex]22=1.75x+0.5[/tex]

[tex]22-0.5=1.75x+0.5-0.5[/tex]

[tex]21.5=1.75x[/tex]

[tex]x=\frac{21.5}{1.75}[/tex]

[tex]x=12.2857142857142857\approx 12[/tex]    

Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.

Answer:

C.  12

Step-by-step explanation:

A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits. However, orchards that did not use the new fertilizer did not harvest any peaches with multiple pits.
The most reasonable conclusion that can be made from the study is that the new fertilizer ___________

1. is associated with the growth of peaches with multiple pits but does not cause it
2.is not related to the growth of peaches with multiple pits
3.causes the growth of peaches with multiple pits
4.prevents the growth of peaches with multiple pits

Answers

Answer:

causes the growth of peaches with multiple pits

Step-by-step explanation:

I got a 100% on the test :)

Option 3 "causes the growth of peaches with multiple pits" is the correct answer.

What is a survey?

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits.

In this study the cases are as follows:

Case 1: Adding fertilizer

The end result is that peaches are plucked while still full of pits.

Case 2: Leaving out fertilizer

As a result, no peaches are picked up with multiple pits.

Thus, option 3 "causes the growth of peaches with multiple pits" is the correct answer.

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John is a software salesman. Let y
represent his total pay (in dollars). Let x represent the number of copies of Math is great he sells. Suppose that x and y are related by the equation

What is the change in John's total pay for each copy of Math is great he sells?

What is Johns total pay if he doesn't sell any copies of Math is great?

Answers

Answer:

see below  please give brainliest

Step-by-step explanation:

X times cost = Y

If he doesn't sell any books than he doesn't make any money.  Each time he sells a book his pay will go up the cost of the book.

PLEASE HELP THIS IS VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

I would have to that it would be about 9 miles because is you go up from oceanfront the it is 9 but if you going sideways it is more then 10. I am so sorry if i get this wrong. Good luck


What is the lateral area of the pyramid?

Answers

We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{1}{2}bh[/tex]

Triangle #1:

b = 9ft and h = 12.3ft. Substitute:

[tex]A_1=\dfrac{1}{2}(9)(12.3)=55.35ft^2[/tex]

Triangle #2:

b = 11ft and h = 11.9ft. Substitute:

[tex]A_2=\dfrac{1}{2}(11)(11.9)=65.45ft^2[/tex]

The Lateral Area:

[tex]L.A.=2A_1+2_A2\\\\L.A.=2(55.35)+2(65.45)=241.6\ ft^2[/tex]

Answer: B. 241.6 ft².

Answer: B

Step-by-step explanation:

The point here, on calculating the Lateral Area of a Pyramid is searching for Congruent Triangles. In a rectangular pyramid, we have four triangles, in the Lateral Area.

The basic formula for calculating the Area of any triangle is:

Δ[tex]=\frac{1}{2}*base*height[/tex]

So, let's plug it in the values for the 1st triangle:

Δ[tex]\frac{1}{2}* 11*11.9[/tex]

Δarea=[tex]65.45 ft^{2}[/tex]

For the second triangle (on the left):

Δ=[tex]\frac{1}{2}*9*12.3=\\ 55.35 ft²[/tex]

The base is a rectangle, this assures us the base of the other faces is also 9 ft and 11 ft.

So we can assume the other Triangle are congruent to Triangle 1 and 2.

The Lateral Area is the sum of all Pyramid's Triangles area:

55.35+55.35+65.45+65.45=241.6 ft²

what value of n makes the equation 4(0.5n -3) = n-0.25 (12 - 8n) true

Answers

Answer:

n = -9

Step-by-step explanation:

4(0.5n -3) = n-0.25 (12 - 8n)

First use the Distributive Law to expand the parentheses:-

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

Subtract 2n from both sides:-

-12 = n - 3

Add 3 to both sides:-

-9 = n


Why is the result of converting 1500 yards into miles? Remember that 1 mile =1760 yards

Answers

Answer:

x = 75/88  miles

or

x = 0.85227 (27 repeated) miles


Step-by-step explanation:

1 mile =1760 yards

x miles = 1500 yards

x = 1500 / 1760

x = 75/88

or

x = 0.85227 (27 repeated)

Answer:

1500 yards=0.85 miles

Step-by-step explanation:

we are given

1500 yards

we have  to convert it into miles

we are also given

1 mile=1760 yards

hence

1 yard=1/1760 mile

and

1500 yards=1500/1760 miles

1500 yards=0.85 miles

write a statement that indicates that the triangles to each pair are congruent

Answers

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation:

In ΔWXY  and ΔBCD

Given Sides are congruent:

[tex]WX \cong BC[/tex]  

[tex]XY \cong CD[/tex]

[tex]YW \cong DB[/tex]

Also,

Angles are congruent i,e:

[tex]\angle W \cong \angle B[/tex]

[tex]\angle X \cong \angle C[/tex]

[tex]\angle Y \cong \angle D[/tex]

By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.

[tex]\triangle WXY \cong \triangle CBD[/tex]

Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.

The given triangles WYX and BDC are congruent as all the sides as well as the angles are equal.

From the given figures,

[tex]WY=BD\\WX=BC\\YX=DC[/tex]

Also,

[tex]\angle{W}=\angle{B}\\\angle{Y}=\angle{D}\\\angle{X}=\angle{C}[/tex]

Hence, the triangles WYX and BDC are congruent to each other.

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What is the first step in solving a quadratic equation with the form given below (ax+b)^2=c

Answers

Answer:

rearrange all of the terms

Step-by-step explanation:


The first step is to arrange the TERMS correcty


a number divided by 70 has a quotient of 5 with the remainder of 14 what is the number and show your work

Answers

Final answer:

The number that divided by 70 results in a quotient of 5 with a remainder of 14 is 364. This can be calculated using the division algorithm formula 'Dividend = Divisor* Quotient + Remainder'.

Explanation:

The division mentioned in the question can be represented using the division algorithm formula:  Dividend = Divisor* Quotient + Remainder.

In your problem, the divisor is 70, the quotient is 5, and the remainder is 14. To find the dividend (which is the number you are trying to find), you simply substitute these values into the formula:

Dividend = 70*5 + 14

So, Dividend = 350 + 14 = 364.

Therefore, the number that when divided by 70, gives a quotient of 5 with the remainder of 14 is 364.

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PLEASE HELP!!


Identify the linear function graph.


A)

B)

C)

D)

Answers

Answer:

B

Step-by-step explanation:

linear is a straight line

What additional information can be used to prove ΔVUW ≅ ΔYXZ by SAS? A) WU ≅ ZX B) WU ≅ ZY C) XZ ≅ VU D) XY ≅ VU

Answers

Answer:


Step-by-step explanation:

A

and

D

Answer:

A) WU and ZX

Step-by-step explanation:


Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1? A) -12 B) 2 C) 3 1 5 D) 3

Answers

Answer:

B) 2

Step-by-step explanation:

Given expression,

48 ÷ ((2 + 6) × 2) − 1

In simplification we follows the following order,

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition,

S = Subtraction,

Thus, steps of solving the given expression by following BODMAS are as follow,

[tex]\frac{48}{(2 + 6) \times 2}-1[/tex]

[tex]=\frac{48}{8\times 2}-1[/tex]

[tex]=\frac{48}{16}-1[/tex]

[tex]=3-1[/tex]

[tex]=2[/tex]

Hence, OPTION B is correct.

Final answer:

The value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is B) 2.

Explanation:

To solve this problem, we need to follow the order of operations (also known as PEMDAS or BODMAS).

First, we calculate the expression inside the parentheses: 2 + 6 = 8.

Next, we multiply the result by 2: 8 × 2 = 16.

Finally, we divide 48 by the result: 48 ÷ 16 = 3.

After that, we subtract 1: 3 - 1 = 2.

Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.

solve for d if :s=d/c/6

Answers

I can't help you out my brother It's too hard

Answer: d=sc/6. that's what i got.


Step-by-step explanation:


3x - 4y = 16 determine the missing coordinate in the ordered pair (0, ?) so that will satisfy the equation

Answers

Answer:

(0, - 4)

Step-by-step explanation:

What you are looking for is the y value when x = 0. So make x = 0 in the original equation.

3x - 4y = 16

3(0) - 4y = 16

- 4y = 16                 Divide by -4 on both sides.

-4y/- 4 = 16/-4        Do the division.

y = - 4

how do you graph the linear equation y=9.5X

Answers

Final answer:

To graph the linear equation y= 9.5X, plot the y-intercept at point (0,0) due to the absence of +b. From there, move 1 unit to the right and 9.5 units up and place another point and do it several more times. Connect the points to form the line.

Explanation:

To graph the linear equation y=9.5X, you need to understand that this is an equation of a line in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is 9.5 and the y-intercept is 0 (since there is no +b following the 9.5).

Start by marking the y-intercept, which is at point (0,0), on your graph. The slope of 9.5 means that for every 1 unit you move to the right along the x-axis, you move up 9.5 units on the y-axis. So, from the y-intercept, you'd go over 1 and up 9.5, placing a point there. Do this several more times, then connect the points to form your line.

This line represents all solutions to the equation y=9.5X, meaning any point on the line satisfies the equation.

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Final answer:

To graph y=9.5X, plot the y-intercept at (0,0), then use the slope to find another point by moving right 1 unit and up 9.5 units, plot this point, and draw a line through both points.

Explanation:

To graph the linear equation y=9.5X, you start by identifying the slope and y-intercept. In this case, the equation is already in the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. Since there's no plus or minus a number after 9.5X, the y-intercept is 0. The slope is 9.5, meaning for every increase of 1 unit in X, y increases by 9.5 units.

To graph this, you first plot the y-intercept at (0,0) on the vertical axis. Then, use the slope to find another point. From the y-intercept, move right 1 unit along the horizontal axis (increasing X by 1), and then move up 9.5 units on the vertical axis (increasing y by 9.5). Plot this second point. Finally, draw a straight line through both points, extending it in both directions. This line represents the equation y=9.5X.

The admission fee at a county fair is $2 for children and $4 dollars for adults. Suppose that on the last day, 1600 people enter the fair and $5000 is collected. Choose the two equations that can be solved as a system of equations to determine how many children and how many adults attended the fair.

1.) a-c=1600
2.) 4a+2c=5000
3.) 4a-2c=5000
4.) a+c=1600

Answers

Answer:

2500 children and 625 adults could have attended on this day.

Step-by-step explanation:

5000 divided by 2 is 2500, so 5000 - 2500 = 2500

2500 divided by 4 is 625.

--Emilie Xx

The two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.

What is a system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let c is the number of children attended the fair and a is the number of adults attended the fair. The total number of people attended the fair is 1600. Thus,

a+c=1600

The fee of admission at a county fair is $2 for children and $4 dollars for adults and total $5000 is collected. Thus,

4a+2c=5000

Hence, the two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.

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For a certain manufacturer only 4/5 of the item produced are not defective. If 2,000 items are manufactured in a month, how many are not defective?

Answers

Answer:

1600 items should not be defective

Step-by-step explanation:

To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.

Not defective items = items * probability

                                 = 2000 * 4/5

                                    1600

Answer:1600

Step-by-step explanation:

a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.

Answers

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25


P(A/B)=9/24

P(A/B)=0.375


Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent


Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Answer: D is the answer

Step-by-step explanation:

2.0 is what times greater than 0.02

Answers

2.0 is 100 times greater than 0.02
It’s 100 times greater than 0.02

Which table represents a nonlinear function?

Answers

I think it's the right top one .. I'm not sure but I hope this helps .
The answer would be choice D. When you graph it out the points in every other table make a straight line.

Which points are on the graph of g(x)=(1/5)x

Select EACH CORRECT ANSWER

Answers

If a point is on the graph of the exponential equation then it should be true when you solve.


g(x) = (1/5)^x

y = (1/5)^x


1/125 = (1/5)^3

cbrt(1/125) = 1/5

.2 = 1/5

.2 = .2 YES


5 = (1/5)^-1

5 = 5 YES


1/25 = (1/5)^-2

-2root(1/25) = 1/5

5 = 1/5 NO


0 = (1/5)^1

0 = .2 NO


The correct answers are A and B.

This is about understanding input and output of a graph.

Correct Points are;

Option B; (-1, 5) and Option A; (3, 1/125)

The graph function is given as; g(x) = (1/5)ˣ

x is the input value which is on the x-axis

g(x) is the output value which is on the y-axis

This will follow a coordinate writing system of (x, y)

Option A; (3, 1/125) means that when x = 3, y = 1/125

Let us put 3 for x in the function;

y = (1/5)³

y = 1/125

y = 1/125 corresponds to y = 1/125 and so it is correct.

Option B; (-1, 5) means that when x = -1, y = 5

Let us put -1 for x in the function;

y = (1/5)⁻¹

y = 5

y = 5 corresponds to y = 5 and so it is correct.

Option C; (-2, 1/25) means that when x = -2, y = 1/25

Let us put 3 for x in the function;

y = (1/5)⁻²

y = 25

y = 1/25 doesn't correspond to y = 25 and so it is not correct.

Option D; (1, 0) means that when x = 1, y = 0

Let us put 1 for x in the function;

y = (1/5)¹

y = 1/5

y = 0 doesn't correspond to y = 1/5 and so it is not correct.

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Ashley has a balance of $4,000 on her credit card with an annual interest rate of 13%. To pay off the $4,000 in three years, Ashley will have to make a minimum payment of $134.78 per month. To pay off the $4,000 in five years, Ashley will have to make a minimum payment of $91.01 per month.

How much more interest will Ashley pay when the length of the loan changes from 3 years to 5 years?

A) $488.20

B) $608.52

C) $1,671.90

D) $5,460.60

Answers

The answer is going to be B $608.52

what is the equation in point-slope form of the line passing through (0,6) and has a slope of 4

Answers

I hope this helps.

Y - 4 = 4 ( X-0)


So the main equation is

Y - y1 = m ( X - x1 )


Y1 = 6

M (slope) = 4

X1 = 0


Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 3x, the length of SQ is equal to 24, the length of PT is equal to 51 and the length of TR is equal to 34. Dora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 12: Statement Reason 1. Segment ST is parallel to segment QR Given 2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent. 3. Angle SPT is congruent to angle QPR Reflexive property of angles. 4. Triangle SPT is similar to triangle QPR Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5? (3x + 24):3x = 85:51 (3x + 24):85 = 3x:51 (3x + 24):51 = 3x:85 34:24 = 3x:51

Answers

Answer:

(A)

Step-by-step explanation:

The Postulate states that corresponding sides of similar triangles are in proportion.

We know that similar triangles are the triangle which have congruent triangles and and the corresponding sides are in proportion

Now in ΔSTP and ΔRPQ, corresponding sides are : (RP,TP); (RQ,TS) ;  (PQ,PS)

So we have RP:TP = PQ:PS

TP= 51; RP= 85; PS = 3x; PQ = 3x+24

PQ : PS = RP : TP

3x+24 : 3x = 85 : 51

Hence 5 statement represents (A) equation

Answer: A) (3x + 24):3x = 85:51

On Monday, Harry had 75\%75% as many toys as Teddy did. On Tuesday, after Harry acquired 3232 more toys and Teddy acquired 15\%15% more than he had on Monday, Harry had as many toys as Teddy did. How many toys did Harry have on Monday?

Answers

Answer:

60

Step-by-step explanation:

We can first define the variables as hh for the number of Harry's toys on Monday and tt for the number of Teddy's toys on Monday.

We know that on Monday, Harry had 75\%75% as many toys as Teddy, so we can write the following equation:

\qquad h=0.75th=0.75t

Hint #2

When we add 3232 toys to Harry's collection, we get h+32h+32. We can also make an adjustment to Teddy's collection, as he acquired 15\%15% more. We can represent that as 1.15t1.15t, as we should add 15\%15% to 100\%100% to get a percent increase.

Now let's make an equation for Tuesday:

\qquad h+32=1.15th+32=1.15t

Hint #3

We also know that h=0.75th=0.75t from the first equation, so we can substitute that in.

\qquad 0.75t + 32 = 1.15t0.75t+32=1.15t

Let's solve by first subtracting 0.75t0.75t from both sides.

\qquad 32 = 0.4t32=0.4t

We can then divide by 0.40.4 to solve for tt, and when we do that, we find that t=80t=80.

Hint #4

Since t=80t=80, we must substitute it into another equation to find hh (the number of toys Harry had on Monday). Let's pick the first equation.

\qquad h=0.75th=0.75t

\qquad h=0.75(80) = 60h=0.75(80)=60

Hint #5

Harry had 60 toys on Monday.

The points are (-2,4) and (6,-1)

Answers

Answer: the slope is -5/8 so the mid point would be 2,1.5


Step-by-step explanation:


Answer:


Step-by-step explanation:

You are half way there when you record the endpoints from the graph correctly. Nice work.

The midpoint is found by this formula

(x_mid,y_mid) = (x1 + x2)/2 , (y1 + y2)/2

Givens

x1 = -2x2 = 6y1 = 4y2 = -1

Solution

(x_mid,y_mid) = (-2 + 6)/2, (4 + - 1)/2

(x_mid,y_mid) = (2, 1.5)  Answer

Graph


whuch of the following truth tables shows the statement ~p ~q

Answers

Answer:

i dont understand but this is what i got from it

I think it b because p and q haves 4 T and 4 F and when formated with -q and -p it makes T(times 3) F(1)

Answer:

B.  

p   q   ~q   p ∧ ~q  

T T F F

T F T T

F T F F

F F T T

Step-by-step explanation:

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