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Three angles of a quadrilateral are in the ratio 3 : 5 : 8. The mean of these
angles is 80°. Find all the four angles of the quadrilateral. ​

Answers

Answer 1

Answer:

See answers below

Step-by-step explanation:

Given the ratio of three angles as 3:5:8

Total ratio = 3+5+8 = 16

Mean = x+y+z/3

80 = x+y+z/3

x+y+z= 240

To get x;

x =3/16 * 240

x = 45degrees

To get y;

y = 5/16 * 240

y = 5 * 30

y = 75degrees

To get z;

z = 8/16 * 240

z = 120 degrees

Fourth angle = 360 - (120+75+45)

Fourth angle = 360-240

Fourth angle - 120 degrees


Related Questions

A bag contains colored tiles.

Answers

Answer:

0.5

Step-by-step explanation:

total tiles = 12

green tiles = 6

so : 6/12 = 0.5

{2, 3, 8, 19, 46, ...}

Answers

Answer:

111

Step-by-step explanation:

Multiply the number by two and then add the number right before it.

3*2+2=8

8*2+3=19

19*2+8=46

46*2+19=111

and so on.

The guy above is correct :)))))

cuál es el Angulo de 68 grados y como se llama

Answers

Answer:

se llama agudo el ángulo de 80 grados

PLZZ HELP

When dividing fractions, the ________ term becomes the reciprocal.

Neither
Second
Both
First

Answers

When dividing fractions the second term becomes the reciprocal

Which of the decimals or fractions is not equal to 0.525 or 1/8

Answers

Answer:

0.18

Step-by-step explanation:

1/8 as a decimal is 0.125

1/8 un-simplified is 3/24

0.525 as a fraction is 21/40

So 0.18 is the only one that doesn't belong

0.18 is not equal to 0.525 or 1/8. Therefore Option (A) is the correct answer.

We need to find which of the decimals or fractions are not equal to 0.525 or 1/8.

How do convert decimals to fractions?

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

To convert decimal to fraction follow these steps

Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).

Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply the numerator and denominator by [tex]10^{x}[/tex].

Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF.

Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Now, from option (A)

0.18=18/100=9/25

From option (B)

0.125=125/1000=5/40=1/8

From option (C)

3/24=1/8

From option (D)

21/40=0.525

Therefore, option (A) is the correct answer.

To learn more about the decimals visit:

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In a math statement 4^9 the 9 is called the

Answers

Answer:

exponent

Step-by-step explanation:

cuz that s what it is called

Answer:

expo

Step-by-step explanation:

give them brain, they're correct.

Genevieve deposit $400into her bank account. The equation A(t)= 400(1.07) can be used to calculate the value of her money after t years. What is the annual interest rate she is earning on her deposit

Answers

Answer:

Step-by-step explanation:

7%

Answer: 7%

Step-by-step explanation:

Find the volume of the given shape. Round your answer to the nearest
tenth if necessary.
*

Answers

Answer:

4,084

Step-by-step explanation:

Volume of a cylinder formula [tex]v=\pi r^{2} h[/tex]

h = 13ft

r = 10ft (20/2)

Then you solve

[tex]v=3.14*10^{2}*13\\\\v=3.14*100*13\\v=314*13\\v=4,082[/tex]

A summer camp wants to buy 2,944 popsicles. If there are 8 popsicles in each box, how many boxes should the camp buy?

Answers

368, divide the amount of popsicles to the amount in each box

Answer:

368 boxes of popsicles :)

Step-by-step explanation:

2,944/8 = 368

5 2/3 divided by 4 in fraction

Answers

exact form: 17/12
mixed number form:1 5/12

When [tex]5\frac{2}{3}[/tex]  is divided by 4 then the result will be [tex]\frac{17}{12}[/tex] in fraction form.

We have to divide the mixed fraction [tex]5\frac{2}{3}[/tex]  by 4.

Let us convert the mixed fraction to improper fraction.

[tex]5\frac{2}{3}[/tex] = [tex]\frac{17}{3}[/tex]

Now divide the fraction [tex]\frac{17}{3}[/tex] by a whole number 4.

[tex]\frac{\frac{17}{3}}{4}[/tex]

When a fraction is divided by a whole number then the fractions denominator is multiplied with the whole number.

[tex]\frac{17}{3 \times 4}[/tex]

Simplifying further:

[tex]\frac{17}{12}[/tex]

Hence, when [tex]5\frac{2}{3}[/tex]  is divided by 4 then the result will be [tex]\frac{17}{12}[/tex].

To learn more on Division click:

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What’s less -99 or 1/100

Answers

Answer:

-99

Step-by-step explanation:

1/100 is positive, and -99 is negative, so 1/100 is greater

what is 2 increased by 5 times a number

Answers

Answer

what is 2 increased by 5 times a number = 10

Step-by-step explanation:

Answer:

The number:

1: 7

2: 12

3: 17

4: 22

5: 27

6: 32

7: 37

8: 42

9: 47

10: 52

The increase for each number will be 5.

Step-by-step explanation:

What is the domain of the relation?
ty
4
2
-4<=x<=4
-4 -4<=X<=6
4
-4 3 of 11

Answers

Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

When we talk of the domain, we are referring to the possible x-values

from the diagram, we can see that we have the x-values at -4 and 6

The dotted line means that -4 and 6 are in the domain

Thus, the two points represent the end and starting point of the domain

Writing this in interval notation, we have the representation as;

-4 ≤ x ≤ 6

There is a line whose y-intercept is 7 and whose slope is 3. What is the equation in slope intercept form?

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Slope intercept form: y = mx + b

Solve the equation 7[X-4] - 2[X-3(5+X)] = 2/3[X-6]​

Answers

Answer:

Hello! :) have a good day!

Exact Form:

x = −18/31

Decimal Form:

x = −0.58064516

Answer:

18/5

Step-by-step explanation:

above attached the process

and mark me as the brainlist

Find the volume of each prism. Show your work for full credit!

Answers

Answer:

1080

Step-by-step explanation:

1/2*base area*h

Mrs. Kim bought
4
4 boxes of stickers at the store to share with her students. Each box contained
64
64 stickers.

Answers

Answer:

She has 256 stickers.

Step-by-step explanation:

4 times 64 equals 256

The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip will be on a highway, where they will travel at an average speed of 65 miles per hour. They are leaving at 7:30 am, and they plan to stop 3 times for 10 minutes each and once for 1 hour. What is the approximate travel time?

Answers

Answer:

[tex]10:02:24\ \text{pm}[/tex]

Step-by-step explanation:

d = Distance to travel = 880 miles

s = Average speed of the car = 65 mph

Time taken to cover the distance is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}[/tex]

Time the car stopped

[tex]3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}[/tex]

Total time of the journey

[tex]13.54+1.5=15.04\ \text{hours}[/tex]

Converting [tex]0.04\ \text{hours}[/tex] to minutes

[tex]0.04\times 60=2.4[/tex]

So, the total time taken for the journey is [tex]15\ \text{hours and }2\ \text{minutes and }24\text{seconds}[/tex]

Time when they reach their destination

[tex]7:30+15:2.4\approx 10:02:24\ \text{pm}[/tex]

A boy does 20J of work in 4s. Find his Power.​

Answers

Power = work divided by time. So, to get the answer you’re looking for, you have to do 20J divided by 4 seconds, which will get you 5 horsepower.

Answer:

5 watts

Step-by-step explanation:

power (measured in watts) is joules per second, or J/s

J = 20

s = 4

J/s = 5

(Easy) For the following quadratic function, find the axis of symmetry, the vertex and the y-intercept. y = x^2 + 12x + 32

Answers

Answer:

see explanation

Step-by-step explanation:

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 ), then

The x- coordinate of the vertex, which is also the equation of the axis of symmetry is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² + 12x + 32 ← is in standard form

with a = 1, b = 12 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{12}{2}[/tex] = - 6

Substitute x = - 6 into y for corresponding y- coordinate

y = (- 6)² + 12(- 6) + 32 = 36 - 72 + 32 = - 4

Thus

equation of axis of symmetry is x = - 6

vertex = (- 6, - 4 )

To find the y- intercept , let x = 0

y = 0² + 12(0) + 32 = 32 ← y- intercept

The axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

Quadratic function:

Important information:

The given quadratic function is [tex]y=x^2+12x+32[/tex].

Substitute [tex]x=0[/tex] to find the y-intercept.

[tex]y=(0)^2+12(0)+32[/tex]

[tex]y=32[/tex]

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]         ...(i)

Where a is constant, (h,k) is vertex and x=h is the axis of symmetry.

Adding and subtracting the square of half of coefficient of x, the given quadratic function can be written as:

[tex]y=x^2+12x+32+6^2-6^2[/tex]

[tex]y=(x^2+12x+6^2)+32-36[/tex]

[tex]y=(x+6)^2-4[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]a=1,h=-6,k=-4[/tex]

Therefore, the axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

Find out more about 'Quadratic function' here:

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Find the percent of increase from 12.5 inches to 18.5 inches. Round the percent to the nearest tenth if necessary.

Answers

Answer:

148%

Step-by-step explanation:

12.5x = 18.5

A car is driving down a road at a normal speed of 50 miles per hour. It enters a hilly area of gradual incline and decline, where it must drive 50 miles up hill and then 50 miles downhill. If this 100 mile section of road takes 2.6 hours to traverse instead of the expected 2 hours (the time it would take if the road was completely flat) determine the speed that the hills add or subtract when going over.

Answers

Answer:

Step-by-step explanation:

I'm going to assume that the car goes 50-x mph uphill and 50+x mph downhill.

x ≅ 24 miles per hour

26 mph uphill and 74 mph downhill

Pls help, I will give brainlist

Answers

Answer:

3-> 10

60<-200

Step-by-step explanation:

X times something = Y

6 times something= 20

something= 20/6= 10/3

3 times 10/3 = 10

200 / 10/3 = 200 times 3/10 =60

y=10

x=60

find the distance between two points ( -1,1) and (2,-4)

Answers

Answer:

The distance between two points ( -1,1) and (2,-4) is:

[tex]d=\sqrt{34}[/tex]  or d = 5.8 units.

Step-by-step explanation:

Given the points

(-1, 1)(2, -4)

Finding the distance between (-1, 1) and (2, -4) using the formula

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) =  (-1, 1)   and  (x₂, y₂) = (2, -4)

   [tex]=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}[/tex]

   [tex]=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}[/tex]

   [tex]=\sqrt{3^2+5^2}[/tex]

   [tex]=\sqrt{9+25}[/tex]

   [tex]=\sqrt{34}[/tex]  units

or

[tex]d = 5.8[/tex] units

Therefore, the distance between two points ( -1,1) and (2,-4) is:

[tex]d=\sqrt{34}[/tex]  or d = 5.8 units.

A dripping tap wastes 11,250 ml of water in 9 hours. If it drips equal quantity in each hour ,how much water will be wasted in an hour? Express your answer in L.

Answers

Answer: In 1 hour , it will waste = 1.25ml

Step-by-step explanation:

Volume of water  wasted by the tap in 9 Hours = 11,250 ml

Since  it drips in equal quantity,

In 1 hr , it will drip=  1 x 11,250 / 9 = 1,250 ml

But  1000 ml = 1 Liter

1250 ml = 1250ml x 1Liter / 1000ml= 1.25L

You use the punch recipe to create a larger batch that uses 10 liters of ginger ale. How many cans of pineapple juice should you use?
Punch Recipe
2 liters of ginger ale
2 cans of lemonade concentrate
I can of pineapple juice
I quart of sherbet
O1
05
O 20
O 10

Answers

5 cans of pineapple

What is the measure of the missing angle

Answers

119 I believe since a straight angle sums up to 180

The measure of the missing angle is 119 degrees.

Explanation:

This is because this angle is a supplementary angle, which means that two angles put together equal 180 degrees. Since we already know the measure of one angle (61 degrees), we can subtract it from 180 degrees. We could figure this out by doing 180-61, which would get us the measure of the missing angle, 119 degrees.

answer this please and asadp

Answers

ur mom

                                                                                                                                                       

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

A. x/3 + 10

C. (3015/x) - 186

Step-by-step explanation:

a. 15/3+10

5+10

15

b. 15,521/15

1034.73 repeated

(3015/x)-186

3015/15-186

201-186

15

2x^2/5-25

Jackie has $32 in her purse. She earned $80 from babysitting this week.
What percentage of the money she earned from babysitting is in her
purse?

Answers

Answer:

40%

Step-by-step explanation:

assuming all the money in the purse is from babysitting then (32/80)*100= 40%.

in other words, 32 is 40% of 80

Answer:

89.6

Step-by-step explanation:

Which best describes the error in finding the simple interest earned on $500 at 6% for 18 months? They did not convert $500 to cents. They did not multiply in the correct order. They did not place the decimal in the answer correctly. They did not convert 18 months to years. Question 2 Correct the error. The simple interest earned equals $ .

Answers

Answer:

45

OThey did not covert the 18 months to year

Step-by-step explanation:

I= PxRxT. 18/12=1.5

I=500x0.06x1.5

I=45

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