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

Which of the segments below is a secant?
С
F
О.
В
Д.
А
u
А. ОВ
B. AB
ООО О
C. DE
D. AD

Answers

Answer:

it is d i believe

The secant of a circle is line segment AD. Therefore, option C is the correct answer.

What is secant of a circle?

A line that crosses a circle at two different locations is said to be a secant of the circle. The Roman verb secare, which meaning to cut, is the source of the word secant. It can also be thought of as the chord of a circle extended outside of the circle.

Given that, circle with center O.

In the given figure, FC is chord, OB is radius, AB is tangent, AD is secant and DE is tangent.

Therefore, option C is the correct answer.

Learn more about the secant of a circle here:

https://brainly.com/question/23026602.

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five men can repair a stretch of road in 8 hrs. how many men would be needed to repair the same road in 3 1/3 hrs
also tell if its direct or inverse proportion
i just wanna check my answer, whether its correct or not

Answers

Answer: 12 men would be needed to repair the same road in 3 1/3 hrs. Inverse proportion because usually in work,food and time its inversly proportional.

8 hours --> 5 men

1 hour --> 5*8 = 40 men

3 1/3 hours --> 40/ (3 1/3) men

                  --> 12 men

round the following number to the nearest ten 7377.38?





Answers

Answer:

7377.4

Step-by-step explanation:

PLEASE HELP IM REALLY NEED HELP

Answers

Answer:

x=7

Step-by-step explanation:

3.5/3= 1.1666666666

6*1.16666666= 7

x=7

whats b + 29 + 12b + 5b² if b = -3​

Answers

Answer:

215

Step-by-step explanation:

-3+29+12(-3)+5(-3)[tex]^{2}[/tex]

-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS

Answers

Answer:

14/15

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.

A car is traveling at a speed of 70 miles per hour. What is the car's speed in miles per hour? How many miles will the car travel in 5 hours?

Answers

350 miles is the answer explanation- if your going 70 mph you make 70 miles in 1 hour so to get the miles for 5 hours you would multiply 70x5=350

40 percent of students survey said that they are night owls . If 300 students said that they are night owls how many students were surveyed ?

Answers

Based on the calculations that 300 is 40%, 375 is considered 50% or halfway.. in this case, we must multiply 375 by 2 and we will discover how many students were surveyed:

375 x 2 = 750

p(x)=x-3
g(x) = 2x-5
Find the following.
(p ° q)(5)= and (q ° p)(5)=

Answers

Answer:

  (p∘q)(5) = 2

  (q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

  (p∘q)(x) = p(q(x))

  (p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

  (p∘q)(5) = 2

__

  (q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

  (q∘p)(5) = -1

a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?

Answers

Answer:

1280

Step-by-step explanation:

divide 1400 by 210

then multiply by 18

subtract that answer (120) from 1400,

and you get 1280

Two angle measures of this triangle are 60°. Which type of triangle is it? O A. obtuse O B. scalene O C. equilateral O D. right​
plz need help now :(

Answers

Answer:

equilateral

Step-by-step explanation:

all the sides are equal

Answer this!

18 divides x

Answers

this makes no sense so maybe  try something better

Brent checks the sales records for a random sample of 16 days and finds the mean number of gallons sold is 150 gallons per day; the sample standard deviation is 12 gallons. With 95% confidence, estimate the what is mean number of gallons that Brent should stock daily.

Answers

Answer:

[143.61, 156.39]

Step-by-step explanation:

Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.

Plug these values into your calculator:

Sample mean = 150

Sample size = 16

Standard deviation = 12

Confidence level = 95% = 0.95

and get [143.61, 156.39] as your confidence interval

32. The length of each side of a square wooden box, in inches, is represented by the expression
8m'. The volume of the box, in cubic inches, is (8m").
Which simplified expression represents the volume of the box?
C. 512m
D. 512m
A. 8m
B. 24m

Answers

the length of the box is represented by (8m2)

does that mean 8m^2?

in English that would be 8 times m^2 or 8 * m * m.

if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:

(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248

The simplified expression that represents the volume of the box is D. 512m.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

Learn more about Volume here:

https://brainly.com/question/1578538

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Two angles are supplementary. The larger angle is 28∘ more than the smaller angle. Find the measure of the larger angle.

Answers

Supplementary means that the angles together equal 180°

So we simply do 180 - 28 = 152°

Hope this helps!

Consider the following function.
f(x) = 1 + 5/x - 4/x2
(a) Find the vertical asymptote(s).
(b) Find the interval where the function is increasing.
Find the interval where the function is decreasing.
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up.
Find the interval where the function is concave down.
Find the inflection point.
(e) Use the information from parts (a)-(d) to sketch the graph of f.

Answers

Answer:

See below

Step-by-step explanation:

I assume the function is [tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, [tex]x=0[/tex] is the only vertical asymptote.

B) Set the first derivative equal to 0 and solve:

[tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

[tex]f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-5x+8[/tex]

[tex]5x=8[/tex]

[tex]x=\frac{8}{5}[/tex]

Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:

[tex]f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}[/tex]

[tex]f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3[/tex]

Therefore, the function increases on the interval [tex](0,\frac{8}{5})[/tex] and decreases on the interval [tex](-\infty,0),(\frac{8}{5},\infty)[/tex].

C) Since we determined that the slope is 0 when [tex]x=\frac{8}{5}[/tex] from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, [tex]f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}[/tex], meaning there's an extreme at the point [tex](\frac{8}{5},\frac{41}{16})[/tex], but is it a maximum or minimum? To answer that, we will plug in [tex]x=\frac{8}{5}[/tex] into the second derivative which is [tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]. If [tex]f''(x)>0[/tex], then it's a minimum. If [tex]f''(x)<0[/tex], then it's a maximum. If [tex]f''(x)=0[/tex], the test fails. So, [tex]f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}<0[/tex], which means [tex](\frac{8}{5},\frac{41}{16})[/tex] is a local maximum.

D) Now set the second derivative equal to 0 and solve:

[tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=10x-24[/tex]

[tex]-10x=-24[/tex]

[tex]x=\frac{24}{10}[/tex]

[tex]x=\frac{12}{5}[/tex]

We then test where [tex]f''(x)[/tex] is negative or positive by plugging in test values. I will use -1 and 3 to test this:

[tex]f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34<0[/tex], so the function is concave down on the interval [tex](-\infty,0)\cup(0,\frac{12}{5})[/tex]

[tex]f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0[/tex], so the function is concave up on the interval [tex](\frac{12}{5},\infty)[/tex]

The inflection point is where concavity changes, which can be determined by plugging in [tex]x=\frac{12}{5}[/tex] into the original function, which would be [tex]f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}[/tex], or [tex](\frac{12}{5},\frac{43}{18})[/tex].

E) See attached graph

In Exercises 12-20, TA=AB=BC and TD= DE = EF

Write an Equation that relates AD and BE.

Answers

Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Recall:

The midsegment theorem of a triangle states that length of midsegment = ½(the third side of the triangle).

Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:

AD = midsegment of ΔTBEBE = third side of ΔTBE

Therefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Learn more about the midsegment theorem of a triangle on:

https://brainly.com/question/7423948

If DEF and MNO are two triangles such that DE=MN and EF=NO, which of the following would be sufficient to prove that triangles are congruent

Answers

Answer:

  D.  ∠E ≅ ∠N

Step-by-step explanation:

The pair of sides meet at vertex E in ∆DEF and at vertex N in ∆MNO. Since the sides that make up angles E and N are shown congruent, it is sufficient to show ...

  ∠E ≅ ∠N

Then the SAS congruence postulate can be claimed.

__

Additional comment

The alternative is to show DF ≅ MO. That would allow you to claim SSS congruence. That is not an answer choice.

How do you do it i am very confused/ i just need the answer lol

Answers

Answer:

No question!

Step-by-step explanation:

Hi! Could you please insert a question so I could answer for you?

I would love to help!

Which of the following equations represents the graph shown? ​

Answers

Answer:

F(x)=-x+2

Step-by-step explanation:

equation

mx+b

m= slope

x

b = y-intercept

help me pls no links​

Answers

Answer:

this is a tough one but i know that sometimes it may seem hard but, with the right amount of practice, the hardest equations become the easiest to overcome. (Hint: Use PEMDAS)

Step-by-step explanation:

hope this helps you!

Answer:

I cant answer it i just need to talk to you its mya......

Step-by-step explanation:

Which value of y makes the equation y+4.2=21 true?
I NEED THE ANSWER ASAP I ONLY HAVE 20 MINS TO COMPLETE


A. y = 16.8
B.y=17.2
C.y=17.8
D=25.2

Answers

Answer:

A: 16.8

Step-by-step explanation:

4.2 and 16.8 both have decimal place values. If you line up the decimals when you add them, then you get 21.

Ali had 5/7 of a spool of yarn. He used 5/6 of his yarn for a project. What fraction of the spool was used for the project? Write your answer in simplest form.

- Due 11:59 today
- Will mark brainliest

Answers

Answer:

Step-by-step explanation:

We have no idea what time zone you are in so hope this gets there soon enough.

Do you mean "What fraction of a FULL spool of yarn did he use?" because he used 5/6 of the spool he had.

IF SO

Then

(5/7)(5/6) = 25/42

That's just under 60% of a full spool would be used to complete the same project again.

A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign
each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The
first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth
group has six hours of screen time,
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group
experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses random sampling
This study uses a control group.
ооо
This study uses blocking.
This study uses a repeated measures design.

Answers

The statements that are true about this study are:

This study uses random sampling. This study uses a control group. This study uses a repeated measures design. ​

Random sampling occurs when each sample has an equal probability of being chosen in a study.

This is seen in the random selection of 100 children. The Control group was used with the first group that had no screen time.

The repeated measures design was also used when multiple measurements were taken during different weeks.

Learn more about experiments here:

https://brainly.com/question/17216882

13. What is the equation of the line through the two points (5,2) and (5.-3)​

Answers

Answer:

yes i love this app , this app so good

8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+

Answers

Answer:

a) -x2 , -(x2)

b)3x-7 , (3x) - 7

c) -2x+8 , -(2x-8)

Does (–1, 2) make the equation y = x + 9 true?

Answers

Answer:

(-1, 2) does not make the equation y=x+9 true.

Step-by-step explanation:

y=x+9

(-1, 2)=(x, y)

2=(-1)+9,

-1+9=8,

2 does not equal to 8.

Answer: No.

NEED HELP RELATIONSHIP IN TRIANGLES

Answers

Answer:

Step-by-step explanation:

10x-13=17x-41

DO YOUR WORK

Answer: 10x-13=17x-41
here is a picture

i need help with this question

Answers

Answer:

so its 4 just bc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5x + 40 + 2(2x + 20) + x = 360

10x + 80 = 360

10x = 280

x = 28

5x + 40 =? 180

140 + 40 =? 180

180 = 180

how do I do this problem?​

Answers

Answer:

Yes

Step-by-step explanation:

4 is greater then or equal to -6+5

4 is greater then -1 so the equation is true

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