Prove or disprove the figure defined by points A, B, C, d is a rhombus

Prove Or Disprove The Figure Defined By Points A, B, C, D Is A Rhombus

Answers

Answer 1

Answer:

It is not a rhombus, because all the internal angles are equal.

Step-by-step explanation:

A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.

First, let's look at figure ABCD.

We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)

So now we need to see the angles.

Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.

We can see that the segment BC is horizontal  (the y-value of B is the same than the y-value of C)

While the segment CD is vertical (the x-value of C is the same than the x-vale of D)

Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.

Now we can do the same for segments CD and DA

We already know that CD is a vertical segment.

For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.

Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:

A = 90°

B = 90°

Then all the angles are equal, so this is not a rhombus. (it is a square)


Related Questions

Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside

Answers

Answer:

55.43cm^2

Step-by-step explanation:

Area of a hexagon given the apothem =  1/2 x perimeter x apothem

apothem = 4cm

To find the perimeter, take the following steps

4 = x√3

x = 4/√3

Multiply by 2

8√3

Since a hexagon has 6 equal sides, multiply by 6

Perimeter = 48√3

Area = (1/2) x  48√3 x 4 = 55.43cm^2

a gping out if bisinuess sale has the entire store marked 80./. off

Answers

Answer:

huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.

Step-by-step explanation:

lauren spent $3.26 for lunch on Tuesday she spent $1.98 on Wednesday and $2.74 on Thursday list the price in ascending order​

Answers

Answer:

1.98, 7.74, 3.26

Step-by-step explanation:

I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.

Hope this helped :)

Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?

Answers

If he runs 1/2 a mile in 5 minutes then 60 minutes would be 5x12 and 1/2x12 would be 6 so he can run 6 miles per hour

Answer:

Step-by-step explanation:

(1/2 mile)/(1/12 hour) = 12/2 = 1 mph

 

How long it takes someone to walk a trail depends on the length of the trail, which you did not provide.  The formula is distance = rate*time, so time = distance/rate.  You know the rate = 1 mph

A car with an initial cost of $33,000 is decreasing in value at a rate of 7% each year. Write the exponential decay function to determine when the value of the car will be $15,000 to the nearest year

Answers

Answer:

n= 11.65 years

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $33,000

Future Value (FV)= $15,000

Decrease rate (d)= 7%

To calculate the number of years it will take to reach $15,000; we need to use the following formula:

n= ln(FV/PV) / ln(1+d)  

n= ln(15,000/33,000) / ln(1.07)

n= 11.65 years

please help me do it I only have 3 min

Answers

Answer:

1 A. 1080°

1 B. 142°, 74°,74°, 125°, 125°

Step-by-step explanation:

1A.

The sum of the measure of the interior angle of a convex octagon is given as

S = (n-2)180°................. Equation 1

Where n = 8 sides

S = (8-2)180°

S = 6×180°

S = 1080°

1B.

The sum of the angle of a convex pentagon is given as

S = (5-2)180°

S = 3×180°

S = 540°

From the diagram,

2x+142+2x+(3x+14)+(3x+14) = 540

10x+170 = 540

10x = 540-170

10x = 370

x = 37°

Hence,

∠H = ∠K = 2(37) = 74°,

∠M = ∠L= (3×37)+14 = 111+14 = 125°

Classify the triangle by its angle measures. 80 30 70

Answers

Answer:

Scalene

Step-by-step explanation:

The three angles have different measures, so the sides have different lengths.

Sometimes it's hard not to assume something from a picture.  Just because two of the sides look congruent doesn't mean they are.  The information in the diagram (and geometry knowledge and logic!) are your guide.

Dionne can fold 175 packing boxes in 50 minutes. Elias can fold 120 packing boxes in 40 minutes. Use unit rates to find how much time it will take each person to fold 210 packing boxes. Drag the numbers to explain and show your answer. Numbers may be used once or not at all.

Answers

Answer:

Dionne can fold 210 packing boxes in 60 minutes

Elia can fold 210 packing boxes in 70 minutes

Step-by-step explanation:

Dionne:

175 packing boxes in 50 minutes

Boxes folded per minute = Total packing boxes / number of minutes

= 175/50

= 3.5 packing boxes per minute

Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute

= 210/3.5

= 60 minutes

Dionne can fold 210 packing boxes in 60 minutes

Elias:

120 packing boxes in 40 minutes

Boxes folded per minute = Total packing boxes / number of minutes

= 120/40

= 3 packing boxes per minute

Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute

= 210/3

= 70 minutes

Elia can fold 210 packing boxes in 70 minutes

Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range

Answers

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

A spinner with two equal sectors is spun 5 times.

What is the number of possible outcomes?

Answer: 32
Explanation: 2^5

Answers

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

PLEASE HELP I WILL CHOOSE BRAINLIEST!

Answers

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

--------------------------------------------------------------------------------------------

21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

which expression has the approximate value between 6 and 7 clear the all the apply.
a.√36
b.√38
c.√42
d.√50​
please someone help me

Answers

i think it is a :))))) i’m not very sure i would get a second opinion

The expression has the approximate value between 6 and 7 will be √42 which is 6.48.

What is square root?

When the original integer is multiplied by itself, the result is a square root. The result generated when a quantity multiplies itself is known as the number of the square.

The expression has the approximate value between 6 and 7 clear the all the apply.

a. √36 = 6

b. √38 = 6.16

c. √42 = 6.48

d. √50​ = 7.07

The expression has the approximate value between 6 and 7 will be √42 which is 6.48.

Then the correct option is C.

More about the square root link is given below.

https://brainly.com/question/3120622

#SPJ5

A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Answers

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules


A linear function has a y-intercept of -9 and a slope of 7/3. What is the equation of the line?

Answers

Answer:

D

Slope is 7/3so in front and - 9 is y intercept so is after

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

This number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?

Answers

Answer:

64

8² = 64

4³ = 64

please don't give me downloaded answer on WinZip, it doesn't work on my device. need help with area and perimetre

Answers

Answer:

Perimeter = 64m

Step-by-step explanation:

I can only help for Perimeter.

12+20+12+8+8+4=64m

A trampoline is on sale for 50% off. What was the original price if the sale price is $31?

Answers

Answer:

$62

Step-by-step explanation:

Hello it's $62 because 31 x 2 = 62 and it was half off so that is why its $62

Answer:

The original price is 62 dollars.

...help me pls with this work i'm timed

Answers

Answer:

10 cm

Step-by-step explanation:

multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10

A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?

Answers

Answer:

The answer to the question is 80π

1/5 + 1/6 in fraction formm

Answers

11/30 because you do it yeah totally

The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?

A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet

Answers

Answer:

A. 8 feet

Step-by-step explanation:

96 = 12 (x)

96/12 = x

8 = x

Shannon has 68 more rubber bands than Ellen. Ellen has r rubber bands. Write an expression
that shows how many rubber bands Shannon has.

Answers

68 + r

you know that shannon has 68 more, and they straight up give you the variable for ellen

Solve the following equation using the quadratic formula.

3x^2+7x+8=6

Answers

That’s the answer

x = - 1/3, -2

a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?​

Answers

Answer:

7minutes

Step-by-step explanation:

so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

Answers

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

-5/9 as a decimal is what

Answers

Answer:

59.00

Step-by-step explanation:

kind of common sense

0.556

hope this helps

translate triangle p by the vector

Answers

Answer:

I need the whole question..

Step-by-step explanation:

Have a nice day!

What decimal is equivalent to the fraction 12/15?

A. 0.07
B. 0.08
C. 0.7
D. 0.8

Answers

Your answer is going to be D. 0.8 you can simply divide 12 over 15
Answer: 0.8

Divide numerator (12) by denominator (15) which will get you to 0.8.

A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos each refrigerator weighs 250lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 11 pianos overload the truck? Explain.

Answers

Answer:

Step-by-step explanation:

7600 ≥ 250r+425p

7600 ≥ 250(13)+425(11)

7600 ≥ 3,250+4675

7600≥7925

This statement is incorrect. Therefore no, the truck cannot transport that load

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