The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.​

Answers

Answer 1

Explanation:

Consider ABCD is a rhombus

We know that

All sides are equal in rhombus i.e,

⇛AB=BC=CD=DA

and AC and BD are digonals

Given that

Diagonal and the side of the rhombus are equal.

⇛AB = BC = CD = DA = AC

Diagonal AC divides the rhombus into two triangles .

They are ∆ BAC and ∆ DAC

In triangle BAC

BA=BC=AC,(Given)

⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)

Similarly in ∆DAC ,

DA=DC=AC

⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)

From eqn(i) and eqn(ii)

∠A=∠BAC+∠DAC=60°+60°=120°

and

∠B= ∠ABC = 60°.

and

∠C=∠ACB+∠ACD=60°+60°=120°

and

∠D =∠ADC=60°

∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°

Answer:-The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.

Note: [Figure refers in the attached file.


Related Questions

The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the
town. Which of the following could cause contamination of the water and lead to human health-related problems
and loss of native species?
development of a water quality plan
B building a fence around the reservoir
C improvements to a water treatment facility
increased use of pesticides (chemicals) by farmers within the local watershed

Answers

Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found.
Type of Crust Number Sold
Thin crust
344
Thick crust
391
Stuffed crust 155
Pan style
185
Based on this information, or the next 3500 pizzas she sells, how many should she expect to be thin crust? Round your answer to the nearest whole number. Do
not round any intermediate calculations.

Answers

Total number of Pizzas sampled = 344+391+155+185 = 1075

No. of Thick crust Pizzas in sample = 391

Proportion of Thick crust Pizzas in sample = 391/1075

Expected number of Thick crust in next 3500 pizzas = 3500*(391/1075)

Expected number of Thick crust in next 3500 pizzas = 1273

Out of 3500, he may expect 1273 pizzas to be thick crust

WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!

Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?

A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial

BTW reason the subject ios math is because no one is helping me when I put other subject. :(

Answers

Answer:

. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail

Answer:

i believe that it is d

Step-by-step explanation:

becuase if hes convicted of the crime he doesn't have to be on trial for it again

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y ?

Answers

Answer:

A. x = 96 and y = 42

Step-by-step explanation:

The required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Given that,
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y is to be determined.

What is the isosceles triangle?

A triangle with two sides and two congruent angles that are equal each other is called an isosceles triangle.

Here,
For an isosceles triangle,
The measure of the angle opposite to the equal side is equal, So
y = 42°

Now,
The sum of the angles in the triangle° is equal to 180,
x + y + 42 = 180
x + 42 + 42 = 180
x = 96

Thus, the required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591

#SPJ2

I need help with this question

Answers

Take a picture of your work and send it so I can help you

Enrique bought a football and a puzzle at a store.



He paid $15.35 for the football.
He paid a total of $24.02 for the football and the puzzle.

​How much did Enrique pay for the puzzle, in dollars and cents?

Answers

Answer:

8 dollars and 67 cents...8.67

Step-by-step explanation:

5 dollar bill

3 one dollar bills

2 quarters

1 dime

1 nickel

2 pennies

eighteen minus the product of 7 and a number, p.

Answers

Answer:

Step-by-step explanation:

18 - 7p = ?

Please help me!!! I will try to give brainliest

Answers

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

4/10 proportional to 6/15

Answers

Answer:

Nooooooo

Step-by-step explanation:

Help use photo for questions

Answers

the rise is -6 the run is 3 rise/run

y=-6/3

Chandra has 15 feet of ribbon to make bows for 6 teams how much ribbon can she use for each bow if she cuts the ribbon into equal pieces

Answers

Answer:

2.5 feet for each bow

Step-by-step explanation:

15/6= 2.5

what is 2 3/15 roumded to the nearest half

Answers

Answer:

It is 7 whole

Step-by-step explanation:

3/15 is 5 without anything left plus the 3 is 7

7 1/4 -3 3/4= 4 1 /4 - 3/4

Answers

Answer:

7/2

Step-by-step explanation:

Which graph corresponds with the inequality x< 10 ?

Answers

Answer:

C

Step-by-step explanation:

Help me plz NO LINKS

Thanks.

Answers

Answer:

2nd answer choice

Step-by-step explanation:

We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.

Option 1:

519/6=86 R3

This answer is wrong because it has a two digit quotient

Option 2:

915/7=130 R5

This answer is correct since it has a three digit quotient, but let's find the rest

Option 3:

439/7=62 R5

This answer is wrong because it has a two digit quotient

Option 4:

812/9=90 R2

This answer is wrong because it has a two digit quotient

Therefore option 2 is correct

I will like to know what you need help with?

find the equation of a circle (3,2) (1,4)

Answers

Answer:

y = −x + 5

Explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

Hope this helped. Have a good one!

is it 90 IF NOT CAN SOMEONE TELL ME please

Answers

Answer:

90

Step-by-step explanation:

1000 + 500 = 1500mg (for 1 day)

1500 * 30 = 4500mg (1 month)

4500 : 500 = 90 tablets

11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.
O A.1/8, 2/3, 9/10, 7/6
O B.2/3, 9/10, 7/6, 1/8
O C.7/6,9/10, 2/3, 1/8
O D. 1/8, 9/10, 7/6, 2/3

Answers

Step-by-step explanation:

Option A is the correct answer

Answer:

A is correct

Step-by-step explanation:

[tex]\frac{1}{8}[/tex] is 0.125

[tex]\frac{2}{3}[/tex] is 0.667

[tex]\frac{9}{10}[/tex] is 0.9

[tex]\frac{7}{6}[/tex] is 1.167

which from this you can see that A represents the order from smallest to largest

The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?

Answers

We can multiply 201*12 to figure out how many books the library has. This gives us 2412. 2412 - 809 is 1603.

The library has 1,603 books remaining.

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

Pleasee help with this question

Answers

Answer:

(2 x^2 z^13)/(z^8 y^5)

Hope This Helps!!!

Answer:

2xz⁵/y⁴

Step-by-step explanation:

16/8 = 2

x²/x = x

y/y⁵ = y⁻⁴

z¹³/z⁸ = z⁵

What is the value of x?

Answers

Answer:

x = 10.

Step-by-step explanation:

(5x-1) + (8x+5) + (4x+6) = 180   (the 3 angles in a triangle sum to 180 degrees).

5x + 8x+ 4x - 1 + 5 +6  = 180

17x + 10 = 180

17x = 170

x = 10.

A line segment has endpoints at (3, 5) and (6, 1)
What is the x-coordinate of the midpoint?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]

first winter event question: wort 50 points and best explenation wins brainliest

whats 50 x 23 = ? Explain your awenser

Answers

Answer:

1150

Step-by-step explanation:

50x 23=150 +100=1150

Find the GCF and LCM for 16 and 24.

Answers

Greatest Common Factors (GCF) of 16 and 24 = 8

Least Common Multiple of 16 and 24 = 48

GCF means Greatest Common Factors

Factors of 16 = 1, 2, 8, 4, and 16

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24

Common Factors of 16 and 24 = 1, 2, 4, and 8

Greatest Common Factors (GCF) of 16 and 24 = 8

LCM means Least Common Multiples

Multiples of 16 = 16, 32,48, 54.....

Multiples of 24 = 24, 48, 72....

The Least Common Multiple of 16 and 24 = 48

Learn more on GCF and LCM here: https://brainly.com/question/219464

The quotient of a number and negative eight is five-eighths. Find the number.

Answers

Answer:

-64/5

Step-by-step explanation:

Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.

The number is -64/5

Answer:

n = -5

Step-by-step explanation:

Form this quotient, representing the number by n:  n / (-8) = 5/8.

Solve this equation for n by multiplying both sides by 8:  -n = 5.  Then n = -5

!!SOMEBODY PLEASE HELP ME OUT!!

What is the slope of the line??​

Answers

Answer:

i think it's -1 / -1

nut i'm not sure so if its wrong then sorry , and don't thank's me...

Find the Simple interest paid for eight years on a $850 loan at 7.5% a year

Answers

Answer:

850 divided by 7.5

Step-by-step explanation:

What is the solution to the system of equations

Answers

Answer:

x = 5

y = -4

Step-by-step explanation:

jamie uses 54 buttons to make shirts. jamie uses 6 buttons to make each shirt. how many shirts did she make?

Answers

Answer: 9 shirts I think

Step-by-step explanation: 54/6=9

I need help please I don’t know what to it is due today

Answers

Answer:

1

Step-by-step explanation:

They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1

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