two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram​

Answers

Answer 1

Given :-

Two adjacent angles of a parallelogram are in the ratio of 5 : 2.

To Find :-

What is the all angles of the parallelogram.Solution :-

Let, the first angles be 5x

And, the second angles will be 2x

As we know that,

★ Sum of all angles = 180° ★

According to the question by using the formula we get,

⇒ 5x+2x=180°

⇒7x=180°

⇒ [tex]\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}[/tex]

➠ [tex]\sf\bold{\red{x =\: 25.7^{\circ}}}[/tex]

Hence, the required angles are,

First angles = 5x = 5(25.7°) = 128.5°Second angles = 2(25.7°) = 51.4°

As we know that, 

opposite angles in a parallelogram

is equal.

∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.


Related Questions

Marco starts getting ready for soccer practice at 3:55 P.M. if it takes him 15 minutes to get ready, what time is he ready to leave? *

Answers

Answer:

4:10 PM

Step-by-step explanation:

15 minutes can be slit into 5 minutes and 10 minutes

There are 60 minutes in an hour!

3:55 + 0:05 = 4:00

4:00 + 0:10 = 4:10

Answer:

4.10am

Step-by-step explanation:

3.55+15=3.70

There are 60 mins in an hour so take away 60 mins from 70 mins which is 10 mins.

Then you add one to 3 because 60 mins makes one hour which will give you 4

=4.10am

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

help! algebra question

Answers

I think it’s y=10x+45 because the line starts at 45 and it’s increasing by 10. If i’m right can you mark me brainliest?

1). Solve for n n + 46 = 67


Help helps please help

Answers

Answer:

n=21

Step-by-step explanation:

Subtract 46 from both sides.

n+46−46=67−46

n=21

Answer:

n=21

Step-by-step explanation:

46-67=21

21=n

So the answer is 21.

I need help! Please help me!

Answers

Answer:

y=20

Step-by-step explanation:

that what i got

Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest

Answers

Answer: The probability is 2/5.

Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.

The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].

Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.

She will randomly choose 1 box from the box.

What is Probability?  

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Now,

Total number of bows = 5 + 1 + 4 =10

Number of purple bow = 4

Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]

                                                   =   [tex]\frac{4}{10}[/tex]

                                                   =[tex]\frac{2}{5}[/tex]

So, probability to choose purple bow is 2/5.

Learn more about the Probability visit:

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A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK

Answers

Answer:

720

Step-by-step explanation:

10 times 9 times 8 equals 720

720 ways can the team choose one captain and then two assistants.

We need to find how many ways can the team choose one captain and then two assistants.

What is the formula to find the permutation?

The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].

Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]

=10×9×8×7!/7!=720

Therefore, one captain and then two assistants can be chosen in 720 ways.

To learn more about the permutation visit:

https://brainly.com/question/1216161.

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which solution matches both equations ?

Answers

I believe the answer is C I’m really sorry if it’s wrong.

Solve the equation

-2p - 4= 2

Answers

Answer: i believe it is p = -3

Step-by-step explanation:

-2p-4=2

    +4   +4

-2p=6

-2      -2

p=-3

In all, there are 52 blocks in the groups below. Each

group is the same size.

Which number sentence shows how to find the number

of blocks in each group?

52x4

B

52-4=

52+4=

D

52 -4 =

Answers

Answer:

D you divide

Step-by-step explanation:

The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that  there are 52 blocks in the groups below. Each group is the same size.

Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.

That is;

52 / 4 = 13

Learn more about the unitary method, please visit the link given below;

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6(2x - 5) = -(x + 4)

Answers

[tex]6(2x - 5) = - (x + 4)[/tex]

[tex]12x - 30 = - x - 4[/tex]

[tex]13x = 26[/tex]

[tex]x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

6(2x - 5) = -(x + 4)

Use the distributive property.

12x - 30 = -(x + 4)

12x - 30 = -x - 4

Add x to both sides.

13x - 30 = -4

Add 30 to both sides.

13x = 26

Divide both sides by x.

x = 2

Your final answer would be x = 2

I don't understand the problem can someone help?

Answers

Answer:

209

Step-by-step explanation:

we know 6 to the third power is 6 x 6 x 6 which we know equals 216. We know 14 divided by 2 is 7. So, 216 minus 7 is 209. That’s your answer (brainliest please?)

I NEED HELP PLEASE !!!!!!!

Answers

Answer:

12

Step-by-step explanation:

Change 3/4 to 12/16 by multiply both side by 4 (common denominator)

12/16 divide by 1/16 is 12.

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

Can someone help me by telling me what I have to do in the yellow box please

Answers

Answer:

what change in the chart That want to what's the overall change in the consumptions. if you don't kno what consumptions is look it up

solve this indices a²b + a³b / a²b²​

Answers

Step-by-step explanation:

Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a³b, a²b², ab³, b4 ... The solution to the problem of the binomial coefficients without actually ... The upper index n is the exponent of the expansion; the lower index k indicates which term ... 1a5 + a4b + a3b² + a²b3 + ab4 + b5.

What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?

Answers

Answer:

i think 1.17 and 0.85

Step-by-step explanation:

A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.

Answers

Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:

someone help me please
13x+7
9x+9

Answers

Answer:

x= 1/2

Step-by-step explanation:

13x+7 and 9x+9 with x inserted in both equal 13.5

(if the equation was 13x+7=9x+9)

13x+7=91 and 9x+9=81

5x + 2 y = 7
4x + y = 8

Answers

4y.
Is the answer
Hope this helps

Gabriel receives a 25% raise at his job. If his new pay is $360.00 per week, what was he getting paid before his raise?

Answers

Answer:

360 *.25. then once you get that, subtract the new pay by the .25. 270 is the amount.

Step-by-step explanation:

360 x .25 = 90. then, you doo 360-90=270.

Jerry has 16 cookies and 4 cupcakes. What is the ratio of cookies to cupcakes in simplest form?
Write the ratio 3 different ways.
HELP giving brainliest

Answers

Hey there!

Ratios can be written in 3 forms, as follows.

x to y

x:y

[tex]\frac{x}{y}[/tex]

So, we will begin by writing your problem's ratio in the fraction form, and simplifying:

[tex]\frac{16}{4}[/tex]

Simplified, this is:

[tex]\frac{4}{1}[/tex]

So, we can take this new ratio and write it in the 3 forms:

4 to 1

4:1

[tex]\frac{4}{1}[/tex]

Have a terrificly amazing day!

What is the Percentage of 23000

Answers

Answer:

2300000%

Step-by-step explanation:

0.01 = 1%

1 = 100%

23000 X 100 = 2300000%

Hope It Helps

What is ( 2 ⅓ * x ) + x?

Answers

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

Use the given functions to answer the question. F(x)=x^2

Answers

Where’s is the given part of the equation?

A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). (Enter your answers to four decimal places.)

Required:
a. How many selections result in all 7 workers coming from the day shift?
b. What is the probability that all 7 selected workers will be from the day shift?
c. What is the probability that all 7 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in that sample of workers?

Answers

Answer:

Step-by-step explanation:

Total number of workers = 20+ 15 + 10 = 45

Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is [tex](^{45}_6)[/tex] ways

If 7 workers are selected from 20 workers on a day shift;

Then, the number of ways to select 7 members from a group of 20 is [tex](^{20}_7)[/tex] ways;

P( all 7 selected workers will be from the day shift) is:

[tex]= \dfrac{(^{20}_7)}{(^{45}_6)}[/tex]

[tex]=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}[/tex]

= 0.0095

The possible number of ways to select all day shift workers is:

[tex]=(^{20}_{7})[/tex]

The  possible number of ways to select all swing shift workers is:

[tex]=(^{15}_{7})[/tex]

The possible number of ways to select all graveyard shift workers is:

[tex]= ( ^{10}_{7})[/tex]

The probability that all selected workers are from the same shift is:

[tex]= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg][/tex]

[tex]= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}[/tex]

= 0.0095 + 0.00079 + 0.000015

= 0.010305

P(selected workers are from at least two different shifts)

= 1 - P(selected workers are from 1 shift from any of the 3 shifts)

= 1 - 0.010305

= 0.989695

≅ 0.9897

We can determine the probability that at least one shift is unrepresented through the following ways:

Let assume that:

[tex]X_1 =[/tex] event that day shift is unrepresented

[tex]X_2 =[/tex] event that swing shift is unrepresented

[tex]X_3 =[/tex] event that graveyard shift is unrepresented

Thus; [tex](X_1 \cap X_2)[/tex] = event that all of them are drawn from graveyard shift.

[tex](X_1 \cap X_3) =[/tex] event that all are drawn from swing shift

[tex](X_2 \cap X_3) =[/tex] event that they are all drawn from day shift.

So;

[tex]P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590[/tex]

[tex]P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499[/tex]

[tex]P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256[/tex]

[tex]P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015[/tex]

[tex]P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079[/tex]

[tex]P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095[/tex]

[tex]P(X_1 \cap X_2 \cap X_3) =0[/tex]

Probability (that at least one shift is unrepresented) is:

[tex]= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)[/tex]

= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0

≅ 1.124

How much greater is the mass of Can A than Can B? cola cola B Con A: 20 grams Can B: 480 grams 360 grams 340 grams 240 grams 260 grams​

Answers

Answer:

I would say 340 grams........

Step-by-step explanation:

340 grams

Answer: 240

Step-by-step explanation:

they are wrong because 720-480=240.

Write an expression for the number of small squares in pattern n

Please properly answer.

Answers

Answer:

(n + 2)² + 6

Step-by-step explanation:

pattern 1:

Total squares = 15

3² + 6 = 16

Pattern 2:

Total squares = 22

4² + 6

Pattern 3:

Total squares = 31

5² + 6

Looking at the series,

There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6

Hence, expressing the nth pattern in the form ;

(n + a)² + b

Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;

b = 6

Hence, we have ;

(n + 2)² + 6

can someone help me with this please?

Answers

Answer:

3x+6

Step-by-step explanation:

Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified

In how many different ways can you answer a multiple cholce test that has 5 questions and 3 choices for each answer?
a) 243
b) 125
c) 15

Answers

Answer:

243

Step-by-step explanation:

3*3*3*3*3

If we change the -3 to a 3 in the equation what would happen to the graph

Answers

Not enough information luv
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