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

Answers

Answer 1
Explanation:

Consider ABCD is a rhombus

We know that

All sides are equal in rhombus

=> 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°………(1)

Similarly in ∆DAC ,

DA=DC=AC

=><DAC=<ACD=<ADC=60°……….(2)

From (1) and (2)

<A=<BAC+< DAC=60°+60°=120°

and

< B= < ABC = 60°.

and

<C=<ACB+<ACD=60°+60°=120°

and

< D =<ADC=60°

Therefore, <A = 120° , <B = 60° ,<C = 120° ,<D = 60°

Answer:-

The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°

Used formulae:-

all sides in a rhombus are equal


Related Questions

The sum of four consecutive even integers is 132. What are the integers? (show your work)

Answers

Answer:  

n

,  

n

+

2

,  

n

+

4

and  

n

+

6

.

Step-by-step explanation:

Answer:

30, 32, 34, 36

sorry for bad handwriting

someone plss helpppppp​​

Answers

[tex]\displaystyle \left \{\begin{array}{ccc} 2y=x-12 \\\\y=2x^2+3x-4 \end{array } \right. \Rightarrow \begin{cases} y =\dfrac{x-12}{2} \\\\ 2x^2+3x-4=\dfrac{x-12}{2} \end{cases } \Rightarrow \\\\\\ 2x^2+3x-4=\frac{x-12}{2} \\\\4x^2+6x-8=x-12 \\\\4x^2+5x+4=0 \\\\ \rm D=25-4\cdot 4\cdot 4=-39 \\\\D<0 \ \displaystyle \Rightarrow\varnothing \\\\Answer : \large \boldsymbol{} \sf (x ; y) \notin \mathbb R[/tex]

PLEASE HELP WILL GIVE BRAINLIEST 5 STARS AND A THANKS DUE IN 1 HOUR AND A HALF!!

Answers

Answer: 2.3 / -3

Step-by-step explanation: If you want me to to explain it, just ask!

Answer:

y = -2.5/3x

Step-by-step explanation:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{7.5-5}{3-6}[/tex]

[tex]m = \frac{2.5}{-3}[/tex] or -0.83333

y = -2.5/3x

hope this helps

What is 4y-3x???Pls help for math

Answers

Answer:

No solution

Step-by-step explanation:

It's an expression, which means there isn't an answer. I feel like you've left out some needed information.

1+1I need help and fast i've been trying to solve this one for 30 minutes now.

Answers

Answer:

2

Step-by-step explanation:

somebody has to answer eventually lol

4. Create a set of 5 positive numbers (repeats allowed)
that have a median of 20 and a mean of 10. (or explain
why it can't be done)

Answers

Answer:

It cannot be done.

Step-by-step explanation:

Every single instance of a graph will always have a median of 20, because 20 is the only number that can go into 100 evenly 5 times.

p/q=r/s (solve for q)

Answers

Answer:

q=pr/s

Step-by-step explanation:

p/q=r/s multiplication is the inverse of division so they cancel out. and you have to do the same thing to both sides so multiply both sides by "q" it cancels out on the left and stays on the right leaving you with

q=pr/s

pls give brainliest

how many hours are between 7:00 am and 10:25 am?​

Answers

3 Hours approximately

I need to solve for x and y please help

Answers

Answer:

I apologize, due to some urgent matters I wont be able to make the corrections to my answer.

x+3y=4 4x + 5y =2
Find the x and y

Answers

X+3y=4
X would be 4
Y would be 4/3

4x+5y=2
X would be 1/2
Y would be 2/5

Please mark brainelist

find the X and y

for (x)

[tex] = \: \: x = 4 - 3y[/tex]

for (y)

[tex]y = \frac{2}{5} - \frac{4}{5} [/tex]

hope it helps

see the attachment


1.) A number has 7 tens and 3 more ones than tens. What
is the number?
be

Answers

Answer:

80

Step-by-step explanation:

hope it helps . .. ..,......

Answer:

80

Step-by-step explanation:

7 tens = 70

3 more ones than tens = 3 + 7 = 10

10 ones = 10

70 + 10 = 80

Help me i really need this .no spam​

Answers

Question : 8

[tex]11 \sqrt{5} + 4 \sqrt{7} [/tex]

Question : 9

[tex]x = - 1[/tex][tex]y = - 3[/tex]

Question : 11

LHS isn't equal to RHS

Question : 12

[tex]x = \dfrac{ \sqrt{3} }{2 \sqrt{2} } [/tex]

Solution is in attachment ~

14/1.5 = 4.2/y plz help

Answers

Answer:

0.45

Step-by-step explanation: I looked it up

Find the GCF (Greatest Common Factor) of each pair of numbers:
16 and 20
15 and 28
33 and 66
78 and 30

Answers

1. 4
2. 1
3. 33
4. 6
Hope this helps! :)

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!

Answers

Step-by-step explanation:

the midpoint is(-3,1)

that is the answer

if f(x) is 10 what is x

Answers

Answer:

5

Step-by-step explanation:

answer for brainliest
ΔMNO has vertices M(0, 0), N(−8, 0) and O(−8, −4). ΔMQP is similar to ΔMNO and has a vertex at Q(−6, 0). Identify the graph of ΔMNO and ΔMQP.

Answers

Answer:

The second one

Step-by-step explanation:

plz help will mark as brainliest​

Answers

Answer:

(i), (ii) and (v) are the linear pairs in the following angles.

Step-by-step explanation:

Linear pair refers to adjacent supplementary angles whose sum = 180 degrees

Hope this helps!

Please mark as brainliest

Step-by-step explanation:

d is the answer hope it will help u

Elliott has 4 columns of marbles. He has 3 marbles in each column. How many marbles does he have in all? *

Answers

Answer:

3*4=12

Step-by-step explanation:

the answer is 12

1Convert the following equation to slope-intercept formy-3=\frac{1}{8}\left(x+8\right)y−3=8​(x+8)

Answers

Answer:

y = 8x + 67

Step-by-step explanation:

The equation of a line in slop- intercept form is

y = mx + c

Given

y - 3 = 8(x + 8) ← distribute parenthesis

y - 3 = 8x + 64 ( add 3 to both sides )

y = 8x + 67 ← in slope- intercept form

3 Chiang Heng went to a store with $235. A water bottle cost $33, a keyboard cost $34 and a dictionary cost $35. Chiang Heng spent all of his money to buy seven items. How many of each item did he buy?​

Answers

Answer:

35÷33=564i3937202p33883

4. Solve the following equation for q. 5q- 4q + 6 = 4q - 8.
q = 4p - 14
q = 4p + 14
q = 4p - 2
q = 4p + 2

Answers

Answer:

q=4p-14

Step-by-step explanation:

> 5q-4q+6=4q-8

> 5q-4q+6+8=4p

> q+14=4p

> q=4p-14

-1/3(9x-18)+8x simplified. Please awnser my question quick I need it!!

Answers

Answer:

5x-6

Step-by-step explanation:

Multiply 9x and 18 with -1/3

-1/3 times 9x is -3x

-1/3 times 18 is -6

So the equation looks like this:

-3x-6+8x

8x plus -3x is 5x

So the answer is: 5x-6

Hope this helps!

if 1llM, find the value of Y.

Answers

Answer:

B 105

Step-by-step explanation:7x = 5x + 30 alternating interior angles

2x = 30

x =15

7x = y corresponding angles

7(15) = y

y= 105

The table gives information about the heights, in cm, of some children.
Height (in cm)
Frequency
140 7
150 17
160 20
170 6
Estimate the mean height, in cm, of the children.

Answers

The mean height would be 155

Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number.


Explain why the result of your operations is an irrational number.


somebody please help me :(

all i know is that this is the equation √(24x5-8)

I need help checking the answer to it.

I think it's 10.583005244

I'm not sure and i need all teh help i can get, thanks

Answers

Answer:

Take the square root of a number that is not a perfect square. None of the numbers are perfect squares. After you do that you can do any closed operation you want with the resulting irrational and the two other rationals and you will end up with an irrational.

8*24*√5 is an example.

8+24+√5 is another

5*√8 + 24 is another.

If you take the cube root of any number that isn't a perfect cube you get an irrational, so you could take the cube root of 5 or 24 instead of the square root and do the same thing.

Please solve.. I will mark you brainliest

Answers

Answer:

z = -4

Step-by-step explanation:

[tex]6z - 16 = 2z \\ - 16 = - 6z + 2z \\ - 16 = 4z \\ - \frac{16}{4} = - 4 = z[/tex]


How many x-intercepts does the graph of y = y2 have?

Answers

If u mean y=x^2,
Then when x=0, let's substitute
y=0
So z-intercepts only at the origion

Translate this sentence into an equation.

The sum of and Han's age is .

Use the variable to represent Han's age

Answers

Answer:

Variable means the letters represent the unknown number. So you can use any letter to represent Han's age......the most common letter "x, y, t, f, a, b" but you can use any letter

Step-by-step explanation:

9.
There are only red beads and green beads in a bag.
The ratio of the number of red beads to the number of green beads is 5:9
(a) What fraction of the beads are red?

Answers

Answer:

Assume there are 5x red beads and 9x green beads

Total no. of beads = 5x+9x = 14x

Fraction of beads that are red = 5x out of 14x

or 5/14

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