The measures of the angles of a quadrilateral are 3:8:7:2 find the measure of each angle

Answers

Answer 1

Answer:

Angle 1=  54°

Angle 2= 144°

Angle 3 = 126°

Angle 4 = 36°

Step-by-step explanation:

We are given measures of the angles of a quadrilateral are 3:8:7:2

Let the common ratio = x

The angles will be:

Angle 1= 3x,

Angle 2= 8x,

Angle 3 =7x

Angle 4 =2x

We know that sum of all angles of quadrilateral = 360°

We can write as: [tex]3x+8x+7x+2x=360[/tex]

Solving to find x,

[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]

We get value of x = 18

Now, finding angles:

Angle 1= 3x = 3(18) = 54°

Angle 2= 8x = 8(18) = 144°

Angle 3 =7x = 7(18) = 126°

Angle 4 =2x = 2(18) = 36°


Related Questions

3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)

Answers

Answer:

*correct me if I'm wrong with the equation setup but I believe this is your answer.*

( 6 × n ) - 5 = 13

( 6 x n ) = 18

n = 3

PLS HELP FAST I NEED HELP

Answers

Answer:

50 snail shells

Step-by-step explanation:

help please!! … help

Answers

Answer:

True ................


(b) Find the value of k such that point (3,-2) lies on the locus 2x²-3y² + 2k-6y + 2 = 0

Answers

Answer:

[tex]{ \tt{ {2x}^{2} - {3y}^{2} + 2k - 6y + 2 = 0 }} \\ { \tt{ \{x = 3 \: \: and \: \: y = - 2 \}}} \\ { \tt{ {2(3)}^{2} - {3( - 2)}^{2} + 2k - 6( - 2) + 2 = 0}} \\ { \tt{18 - 12 + 2k + 12 + 2 = 0}} \\ { \tt{2k + 20 = 0}} \\ { \tt{2k = - 20}} \\ { \tt{k = - 10}}[/tex]

Answer:

⇒ k=−9

Step-by-step explanation:

then put P(−2, 2) and we get,

x

2

−7x+ky=0

(−2)

2

−7(−2)+k(2)=0

⇒ 4+14+2k=0

⇒ 18+2k=0

⇒ 2k=−18

⇒ k=−9

again point Q(3, a) lies on the locus

the, put Q(3, a) and k=−9. We get

x

2

−7x+ky=0

(3)

2

−7(3)+(−9)×a=0

9−21−9a=0

−9a=+12

a=

9

−12

a=

3

−4

Determine the shaded areas part 2​

Answers

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

It takes Evan 3/4 hour to mow his backyard how much will the yard be mowed after 2/3 hour

Answers

Answer:

88.88% or 8/9 of the yard is mowed

Step-by-step explanation:

First step is to get the denominator to the same number. Both denominators have a least common multiple of 12.

3/4 * 3/3 = 9/12

2/3 * 4/4 = 8/12

9/12 hours is how long it takes Evan to mow his backyard. He has 8/12 hours of work already done. If we divide the time already passed by the time still needed to mow the backyard, we can get how much of the yard is already mowed.

(8/12) / (9/12)

8/12 * 12/9  

96/108 = 88.88

please help me out here kings and queens

Answers

Answer:

∠D=42°

Step-by-step explanation:

Since both triangles are congruent and are right triangles that t ∠D has to be 42°.

5.734 rounded to the nearest whole number

Answers

Answer:

6

Step-by-step explanation:

anything over 5 you round up.

7 is greater than 5 so you round up to 6

Answer: 5

Step-by-step explanation:

If the number is 5 or more, you round it up.

It the number is 4 or less, you leave it alone.

Using this process, we eliminate the numbers .734

We get the number 5 as our answer.

Best and Correct answer gets BRAINLIEST!!!!!

Answers

Answer:

3

Step-by-step explanation:

3/1 = 3

3 is the correct answer

What’s this answer to this question

Answers

the slope of that is (2, 3.5)

Is
A person's batting average is determined by dividing the number of hits by the
number of at bats. William has 11 hits in 53 at bats and has a batting average of
0.208. He wants to have a batting average of at least 0.300.
Which equation could be used to determine x, the number of hits in a row William
needs to get in order to have a batting average of at least 0.300?
11x
A. 0.300 s
53x
11
B. 0.300x s
53
11 + x
C. 0.300 s.
53
11 + x
D. 0.300 s
53 + x

Answers

The answer is... C. 0.300 s. 53 11+ x

Hope this helps!!

The equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].

What is inequality?

Inequality is a relation that makes a non-equal comparison between two expressions.

Batting average of William = 11/53

Desired batting average = 0.300

Suppose the number of more hits in a row to have desired batting average =x

Number of hits now =11+x

Number of bats now =53+x

It is given that the batting average should be a minimum of 0.300.

This means [tex]\frac{11+x}{53+x} \leq 0.300[/tex]

Therefore, the equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].

To get more about inequality visit:

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I need help and a answer tonight

Answers

simplest form, good luck on ur assignment
Simplest form! Any more?

Please find the probability down below

Answers

Answer: 0.023

Step-by-step explanation:

Given that:

Number of green balls = 9

Number of white balls = 8

Total number of balls = 9 + 8 = 17

Drawing with replacement :

Probability of white :

First draw = 8/17

2nd draw = 8/17

3rd draw =. 8/17

4th draw = 8/17

5th draw = 8/17

P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857

= 0.0230783

= 0.023

Find the intersection of line ce and line eb

Answers

The answer is b hope this helps

(4) Madison invested $5,000 at a rate of 7.5%. How much money did she have after 6 months?​

Answers

Answer:

A = $5,187.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7.5%/100 = 0.075 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 5000(1 + (0.075 × 0.5)) = 5187.5

A = $5,187.50

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 7.5% per year for 0.5 years (6 months) is $5,187.50.

The amount of money she saved after 6 months is $5,187.50.

What is Percentage?

Chance formula is used to find the quantum or share of commodity in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, chance formula is used. It's defined as a number represented as a bit of 100. It's denoted by the symbol, and is majorly used to compare and find out rates.

Given:

r = R/100

r = 7.5%/100

r = 0.075 per year.

Time = 6 months.

        = 6/12 = 1/2 year

So, Amount = 5000(1 + (0.075 × 0.5))

A = $5,187.50

The total amount accrued, principal plus interest is $5,187.50.

Learn more about Percentage here:

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Solve for x.
–30 = 5(x + 1)

Answers

Answer: x= -7

Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x

What is the measure of angle x

Answers

Answer:

there is nothing to look at or answer

A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?

Answers

Answer:

it's .5 or 1/2

Step-by-step explanation:

3/8 ÷ 3/4 = 1/2

A scuba diver used the expression below to describe his position in relation to sea level. 2 + (-20) + 8

Which statement could describe the diver’s movements?

A. Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

B. Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

C. Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.

D. Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.

Answers

Answer:

-20

Step-by-step explanation:

i think

Answer:

Your answer should be B

Step-by-step explanation:

The first three terms of an arithmetic sequence are as follows 9,4,-1 find the next two terms

Answers

The following two terms of an arithmetic progression are -6 and -11.

What is an arithmetic sequence?

An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.

Finding the two terms of an arithmetic sequence

The first three terms of an arithmetic sequence are given by:

a1 = 9

a2 = 4

a3 = -1

Now, we want to calculate a4 and a5

Using the formula for calculating the next term of an arithmetic progression, we get,

a4 = a + (n-1)d, where n = 4 and d = 5

a4 = 9 + (4-1)(-5)

a4 = 9 - 15

a4 = -6

Further, a5 = a + (n-1)d, where n = 5 and d = 5

a5 = 9 + (5-1)(-5)

a5 = 9 - 20

a5 = -11

Hence, the next two terms of an AP are -6 and -11.

To learn more about the arithmetic sequence, visit the link given below:

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PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!

Answers

Answer:

y= 1/2x + 6

Step-by-step explanation:

i hope that helps, I'm pretty sure that's what it is

Answer:

y = 1/2x + 6

Step-by-step explanation:

6 would be the y intercept as he had already planted the 6 rows.

slope = rise/run

1 would be the amount of rows in 1/2

2 would be the amount of hours each time

WILL MARK BRAINLIEST IF CORRECT! How many solution? Is it 0? is it 1? is it infinite?

Answers

Answer:

Step-by-step explanation:

There are two restrictions on x:  First, x must be less than -4; second, x must be greater than 5.  Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.

Other question.........

Answers

that whole thing is a right angle, which is 90 degrees. put measure 1 and 2 and equal it to 90 and solve. 5x+x-12=90. combine like terms and solve for x. 6x-12=90. 6x=90+12. 6x= 102. x=17

Answer:

m<1=85; m<2 =5

Step-by-step explanation:

[tex]5x + x - 12 = 90(right \: angle \: ) \\ 6x - 12 = 90 \\ 6x = 90 + 12 \\ 6x = 102 \\ x = 102 \div 6 \\ x = 17 \\ hence \: x = 17 \\ 5x = 5 \times 17 \\ = 85 [/tex]

[tex]x - 12 = 17 - 12 \\ = 5[/tex]

[tex]to \: check \\ \\ 5x + x - 12 = 90 \\ 85 + 5 = 90 \\ hope \: it \: helps \\ pls \: mark \: it \: as \: brainliest...[/tex]

Which statements are true about the locations of points A and B? Select all that apply. Point A is at (0, -2). 4 Point A is at (0, -4). х Point A is at (4,0). Point B is at (-4, -3). -8 -4 4 co А -4. Point B is at (-8,-6). Point B is at (-8, -7). B -8



PLSSSS HELP​

Answers

point a is at (0,-4) and point b is at (-8,-7) :)

Answer:

B and F

Step-by-step explanation:

took the test

The Ted Williams Tunnel under Boston Harbor is 2.57
kilometers long. How many meters is the length of the
tunnel?

Answers

Answer:m=2570

Step-by-step explanation:2.57kilos= 2570m

Use the number line to represent all the solutions to the inequality -3(2j-11)>=8j-9.
Select a ray. Move the point on the ray to the correct place on the number line.

Answers

The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.

What is the solution to the given inequality?

Given the inequality in the question;

-3( 2j - 11 ) ≥ 8j - 9

First, we simplify using distributive property.

-3( 2j - 11 ) ≥ 8j - 9

-3×2j -3×-11 ≥ 8j - 9

-6j + 33 ≥ 8j - 9

Next, move all terms containing j to the left and all constant to the right.

-6j + 33 ≥ 8j - 9

-6j - 8j ≥ - 9 - 33

-14j ≥ -42

Divide both sides by -14.

Note that, when multiplying or dividing both sides of an inequality by a

negative value, the inequality sign flips directions.

-14j/-14 ≤ -42/-14

j ≤ -42/-14

j ≤ 3

Therefore, The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.

Learn more about inequality here: https://brainly.com/question/17675534

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integers -50-3-(-8) please answer correctly​

Answers

Answer:

-45

Step-by-step explanation:

Because 2 negatives become a positive:

-50-3 + 8 =

-53 + 8 =

-45

-50-3-(-8)

-50-3+8

-53+8

-45

HELP ME ILL GIVE BRAINLEST !!!!!!!!! PLEASEEEEEEE

Answers

Answer:

The m<PML + m<PMQ + m<QMN = 180° since they are supplementary

therefore,

45°+(6x-5)+x=180°

45+7x-5=180

40+7x=180

7x=140

x=20

To test it we should plug in x for each equation and the sum of those answers should equal 180

45+(6x20-5)+20=180?

45+115+20=180?

160+20=180?

180=180

x=20 is valid

Step-by-step explanation:

What’s the next number in the pattern, and what is the formula to find the next number in the pattern? 7, 28, 63, 112...

Answers

Answer:

7x3

the next number is 336

Step-by-step explanation:

Which points are 19 units apart?
○(-14, 12) and (5, 12)
○(-5, 19) and (-12, 19)
○(-20, 5) and (5, 12)
○(14, 12) and (5, 12)​

Answers

Answer:

(20,5) and (5,12) I think

Answer:

A:(–14, 12) and (5, 12)

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

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