Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. What type of quadrilateral is formed?

Answers

Answer 1

Answer:

A rectangle

Step-by-step explanation:

The given parameters are;

The quadrilateral ABCD is a rhombus;

The length of the sides of the rhombus = 12 inches

The lengths of the sides of a rhombus are equal

The opposite interior angles of the rhombus are equal

The length of each midpoint from the vertex = 12 in./2  = 6 in.

Therefore, we have;

The line joining the midpoints form a quadrilateral with the length of the opposite sides equal

The sum of the interior angles of the rhombus = 180°

From the diagram created with Microsoft Visio, we have;

4·a + 4·b + 360 = 4 × 180 = 360 + 360

4·a + 4·b = 360

a + b = 90°

We have;

The interior angles of the quadrilateral formed = x

a + b + x = 180° Sum of angles on a straight line

∴ x = 180° - (a + b) = 180° - 90° = 90°

x = 90°

Therefore, the interior angles of the quadrilateral formed = 90°

The quadrilateral formed having equal opposite sides, and all interior angle of 90° each is a rectangle


Related Questions

Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?

Answers

Answer: $20.59

Step-by-step explanation:

0.13 * 6 = 0.78

25 - 0.78 = 24.22

85% * 24.22 = 20.59

Sally works for 38 hours per week. Her weekly wage is £355.68
She receives a pay increase of 23p per hour.
Work out her new weekly wage.

Answers

Answer:

£364.42

Step-by-step explanation:

£355.68 ÷ 38 hours = £9.36 per hour

£9.36 + £0.23 = £9.59 per hour

£9.59 * 38 = £364.42

103+1793=????????
what is the answer??​

Answers

Answer:

1896

Step-by-step explanation:

= 1896 use a Calculator

29,58,116,... find the 71st term

Answers

Answer:

sorry it doesn't make sense to me either but here is a link to another one of the 71st things hopefully it helps :)

Step-by-step explanation:

https://brainly.com/question/15779922

PLease help me. YOu'll get 10 points.\

Answers

Answer:

Option D is your answer . If I'm right so,

Please mark me as brainliest. thanks!!!

PLEASE HELP ASAP

Two lines intersect in the figure.
What is the value of x?

Answers

Answer:

x=17°

Step-by-step explanation:

5x+6=91 (vertically opposite ∠'s equal)

5x= 91-6

5x= 85

x= 85/5

x= 17°

Find the unit rate.

15 plants in 5 rows = BLANK plants per row

Answers

Answer:

3 is the unit rate

Step-by-step explanation:

15/3 is 3 which is your individual value per row.

Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?

Answers

Answer:

1.17 feet

Step-by-step explanation:

28 ÷ 24 = 1.16666666667

round that and you get 1.17

1.17 feet I would think is the answer

ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?

Answers

Answer:

Company A = $13

Company B = $12.73

Company B

Step-by-step explanation:

To determine the unit cost for each company, divide the price of chocolate by the number of pounds

Unit cost = price ÷ total pounds offered

Company A

$32.50 ÷ 2 1/2

$32.50 ÷ 5/2

$32.50 x 2/5  = $13

Company B

$35 ÷ 2 3/4

$35 ÷ 11/4

$35 X 4/11 = $12.73

$12.73 is less than $13. Company b has a lower price per pound

Answer both parts please​

Answers

Answer:

1-21m hight and 23 lenght

2-45 hight and 11 length

Sarah earned $175 babysitting for her neighbors. If she saved 40% of her money how much did she save?

Answers

Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

simplify (27x^6y^3)1/3

Answers

Answer:

9(x^6)(y^3)

Step-by-step explanation:

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent? Choose 1 answer: Choose 1 answer: (Choice A) A Area (Choice B, Checked) B Perimeter (Choice C) C Length Stuck?Use a hint.

Answers

Answer:

The answer is choice A that is "Area".

Step-by-step explanation:

According to the area of the square [tex](A)= side^2[/tex]  

Given side =7

So, the area= [tex]7^2= 7 \times 7=49[/tex]  

can you help me answer this?

Answers

The answer is C i think.

Helpppp me pleaseee

Answers

Answer:

1 st questions answer is  third option

while the answer of other question is  3

Step-by-step explanation:

2nd qestions explanation

put value of x=2 in equation as x-2=0 from equation

(2)^3-6(2)^2+a2+10=2

8-24+a2+10=0

2a=-18+24

2a=6

a=3

Okay brain block alert what is 3 1/3 divided by 4 3/4

Answers

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

What is the volume of a right circular cone with a radius of 3 units and a height of 6 units?​ pleas help asap

Answers

Answer:

18 units

Step-by-step explanation:

Answer:

18 units

Step-by-step explanation:

i dunno TvT


SAYS I NEED MORE WORDS OK HERE I AM

Answers

Answer:

g=25 ÷d

Step-by-step explanation:

Compare 6*10^5 and 3*10^4

Answers

Answer: 6*10^5 > 3*10^4

Step-by-step explanation:

6*10^5 = 600000

3*10^4 = 30000

58 8.6 1.5.
What is the value of x in the figure
below?
I AM BEGGING YOU

Answers

Hey there!

The correct answer is 50 degrees.

To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.

A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.

In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.

Now we have all the angles in the triangle.

With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.

Have a terrificly amazing day! :D

Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!

Answers

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

the answer is 60 degrees

Help Me Plz 24=6a Plz

Answers

Answer:

a = 4

Step-by-step explanation:

just divide 24 by 6

a = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

If your solving for A, A=4

Step-by-step explanation:

Divide 6 on both sides

Can someone help me pls

Answers

Answer:

Where's the answer?

Step-by-step explanation:

what happened to the tutor option :(

Answers

Answer: wym

Step-by-step explanation:

Can someone plzzzz help meeee!!!!!

Answers

Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!


I need help with this question can someone help me please?

Answers

Answer:

The correct answer is option D

Hope this helped you! If it did help please consider giving brainliest!

Please do not forget to give a thanks and leave a rating!

Answer:

the answer is D Have a great day

Learn with an example
If a town with a population of 1,000 doubles in size every 7 years, what will the population be
14 years from now?
people
Submit

Answers

4000 will be the answer

Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.​

Answers

Kal is 18 Lin is 23 divide then subtract

Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!

Answers

The volume = LBH = x²y

.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.

The volume of Pyramid = 1/3*y

h = 3 *1/3x²y/

h = 3*1/3x²y*1/

h = 3*1/3y

h= y

Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77

Answers

Answer:

7^12

Step-by-step explanation:

if you are dividing the base numbers then you are subtracting the exponents

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