A straight angle is split into the ratio of 3:1:4. Find the measure of each angle.

Answers

Answer 1

Answer:

Let the parts be given as x,

180° = 3x + 1x + 4x (Because a straight angle = 180°)

=> 180° = 8x

=> 180 / 8 = x (By the law of transposition)

=> 22.5 = x

Therefore the three different angles are :

67.5° , 22.5° , 90° respectively

Check,

=> 67.5 + 22.5 + 90

=> 90 + 90

=> 180°

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Thank You!


Related Questions

Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356

Answers

A 4.078 because it isn’t a repeating decimal

8-3 is even or odd ammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answers

Answer:

ummmm... odd

Step-by-step explanation:

Odd

Because if you try to multiply it would be it nothing would be equal to 8

In a geometric series
If a1=6 and r=5 find s9

Answers

Answer:

I have no idea how to solve that but can you teach me how !

Harvey has 514 stamps. He places an equal number of stamps in 3 stamp books. How many stamps are in each book? Are there any stamps left over

Answers

There are 171 stamps in each book since 514 divided by 3 = 171.3 but since there cannot be 1/3 of a stamp, 1 stamp is left over.

Answer: 171 stamps, 1 left over

Jodi bought 4 identical bags of potato chips and one bottle of water. The bottle of water costs $1.25, and her entire order costs $10.41. Write an equation you can use to find out the cost of each bag of potato chips.

Answers

Answer:

10.41 - 1.25 = x

x / 4 = answer

(the answer is $2.29 per chip bag)

Step-by-step explanation:

;3

what is 13,899 rounding to the thousands

Answers

Answer: 14,000

...............................

Answer:

Step-by-step explanation:

round 13,899 to the nearest thousands which would be

14,000

how many times does 143 go into 158

Answers

1 time

I am not really sure

hope this helps

Answer:

0nce

Step-by-step explanation:

-54 over 9=
can I have help

Answers

Answer:

-54 over 9= -6

Simplify the following expressions ?
-9x+9x^2+8x^2+4x

Answers

Answer:

-5x+17x^2

Step-by-step explanation:

Hope that helps good luck

9514 1404 393

Answer:

  17x^2 -5x

Step-by-step explanation:

"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.

  -9x+9x^2+8x^2+4x

  = 9x^2 +8x^2 -9x +4x

  = x^2(9+8) +x(-9+4)

  = 17x^2 -5x

Which fractions are equivalent to 3/5 Check all that apply.

Answers

Answer:

12/20    21/35    30/50

Step-by-step explanation:

These are all equivalent fractions to 3/5.

Hope this helps!

The fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.

To determine which fractions are equivalent to 3/5, we need to find fractions that can be simplified to the same value.

The fraction 3/5 cannot be simplified further because 3 and 5 have no common factors other than 1.

Let's check each option:

A) 8/10 can be simplified to 4/5, which is not equivalent to 3/5.

B) 8/15 cannot be simplified further, but it is not equal to 3/5.

C) 12/20 can be simplified to 3/5, which is equivalent to 3/5.

D) 21/35 can be simplified to 3/5, which is equivalent to 3/5.

E) 30/50 can be simplified to 3/5, which is equivalent to 3/5.

Therefore, the fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.

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2. The set of whole number from 1 to 20
Set C = all the even numbers
Set D = all the multiples of 4​

Answers

Answer:

c:2,4,6,8,10,12,14,16,18,20

Step-by-step explanation:

set d:4,8,13,15,20

Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?

Answers

Answer:

2.5 miles

Step-by-step explanation:

We know that: time = distance/speed

Now, if the distance of the school from Jonathan's home is y.

At speed of 15 mph, Jonathans time is; time = y/15 hours

At 25 mph, his mother's time was;

time = y/25 hours

We are told that Jonathan was 1 mile from home when he saw his mother.

Thus means that difference in time is;

Time difference = 1/15 hours

Thus;

y/15 hours - y/25 hours = 1/15 hours

Multiply through by 75 to get;

5y - 3y = 5

2y = 5

y = 5/2

y = 2.5 miles

AM = 5x - 2 and MB = 2x + 19, Find the length of AB

Answers

Answer:

The answer would be: -0.01

Step-by-step explanation:

1) State what is given

AM = 5x -2 and MB = 2x +19

2) Make an equation that can satisfy the problem

AM + BM = AB

This is the equation, because if I am to put this on a line,

A                        M                         B

-_____________-_____________-

You can see that is you combine the lengths AM and BM you can find the total length of  AB.

A                        M         +           M                        B    

-_____________-          +           -_____________-

(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)

3) Substitute

(5x - 2) + (2x + 19) = AB

4) Now Solve!

5x - 2 + 2x + 19 = AB

(Rearrange to combine like terms)

5x + 2x + 19 - 2 = AB

7x + 17 = AB

(That is your equation to find AB! But they want the specific length)

So...

We solve it!

7x = -17

(By moving the 17 to the other side of the = sign, it becomes negative)

7x = -17

7       7

(Dividing both sides by 7 in order to get x alone)

x = -2.43

(I rounded to the hundredths place)

Now substitute that into x into you original equation)

5(-2.43) - 2 + 2(-2.43) + 19 = AB

-12.15 - 2 - 4.86 + 19 = AB

-14.15 - 4.86 + 19

-19.01 + 19 = -0.01

= -0.01

(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)

(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)

Two supplementary angles. One angle is 25 more than the second angle, find the measure of the second angle. The measure of the second angle is

Answers

Answer:

  77.5°

Step-by-step explanation:

Let s represent the measure of the second angle. Then the first angle is s+25. These two angles are supplementary, so their sum is 180:

  (s+25) +s = 180

  2s = 155

  s = 77.5

The measure of the second angle is 77.5°.

A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in​

Answers

Answer:

Longer piece: 50 in

Shorter piece: 10 in

Step-by-step explanation:

Lets make the shorter piece = x

Leta make the longer piece = 5x

Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.

x + 5x = 60 in

If we substitute the x to 10:

10 + 50 = 60 in

10 in = shorter length

50 in = longer length

What is the translation for this graph?

Answers

Answer:

It's the second option

Step-by-step explanation:

The x moves over to the right for a positive 3

The y moves up for a positive 4.

Hope this helps! :)

If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?

Answers

Answer:

t = 11.45 years

Step-by-step explanation:

A = p(1+r/n)^nt

A = future value = $12000

P = present value = $6000

n = number of periods = 4

r = interest rate = 6.1% = 0.061

t = number of years = ?

t = log(A/P) / n[log(1 + r/n)]

= log(12000/6000) / 4[log(1+0.061/4)]

= log(2) / 4[log(1 + 0.01525)]

= 0.3010 / 4[log(1.01525)]

= 0.3010 / 4(0.00657)

= 0.3010 / 0.02628

= 11.45 years

What is 6 1/2 doubled?

Answers

Answer:

13

Step-by-step explanation:

6 1/2 x 6 1/2

or

6.5 + 6.5 =13

6+6=12

0.5 + 0.5=1

12+1=13

the double of 6 1/2 is 26/2, which simplifies to 13

To find the double of 6 1/2, we first convert the mixed number 6 1/2 to an improper fraction. We multiply the whole number (6) by the denominator (2), which gives us 12. Then, we add the numerator (1) to get 13. So, 6 1/2 as an improper fraction is 13/2.

To double this fraction, we multiply the numerator (13) by 2, resulting in 26. The denominator remains the same (2). Therefore, the double of 6 1/2 is 26/2, which simplifies to 13. In other words, doubling 6 1/2 gives us the whole number 13.

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A bicyclist at White’s 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?

Answers

Answer:

280 minutes.

Step-by-step explanation:

112/14=8

8*35=280

7th grade math help me plzz

Answers

Answer:

-3, -2, -0.8, -1/10, 1/2, 0.8, 7

Step-by-step explanation:

hope this helps

Solve for x: 13x + 12] = 18
O = x
X = 2, X = -10
O x = 2, x = -2
O x = 10, x = -10
X = -2, x = 10

Answers

Answer = x= 0

Step-by-step explanation:

What is the solution to the system of equations graphed below
Y=2x-7 y=-x-1

Answers

The value of the common solution to the system of equation is (2,-3).

What is System of Equation?

The system of equation is set of equations which have a common solution.

The figure shows the graph of two equations, these equations are a straight line function and the common solution is represented by a point in the image.

The solution of the system of equation can be obtained both by solving using substitution method and even by plotting the graph and finding the  intersection point.

The system of equation is,

y = 2x - 7

y = -x -1

The value of y from equation 2 will be substituted in equation 1

-x -1 = 2x -7

3x = 6

x = 2

Substituting this value in equation 2

y = -2 -1

y = -3

The value of (x,y) is (2,-3)

The graph is plotted and the intersection of the line is at (2,-3)

To know more about System of Equations

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Answer:

The answer is (2,-3)

Step-by-step explanation:

If a town with a population of 5,000 doubles in size every 60 years, what will the population be 120 years from now?​

Answers

Answer:

The population in 120 years will be 15,000.

Step-by-step explanation:

5,000 --> Now

10,000 --> In 60 years

15,000 --> In 120 years

You're welcome!

Answer:

The towns population in 120 years would be 10,000

Step-by-step explanation:

120÷60=2

5,000 x 2 = 10,000

Help please I’m so confused lol

Answers

Answer:

13

Step-by-step explanation:

Just substitute the x with a 4

4² - 4 + 1

16 - 4 + 1

12 + 1

Complete the square for the following expression
and write the resulting expression as a binomial squared.
x² + 8x +_____=(_____)^2

Answers

Answer:

16, x+4^2

Step-by-step explanation:

To find the perfect square with an A factor of 1, just double the next number.

How many liters are in 260 ounces?

Answers

Answer:

7.68912

Step-by-step explanation:

The answer is ->7.68912

If the surface area of a cylinder is 800 in^2 and the height is 15 in, what is the base?

Answers

Answer:

base = diameter

Step-by-step explanation:

if  the surface area of the cylinder is 800...

the height is 15... then the formula must be 3.14 x 15 x R2

r squared is supposed to be the square of the radius of the cylinder\

conclusion:     3.14 x 15 x R2 is 800_

so.multiply then..find the radius and add the answer you get to find the diameter ..

Respuesta de la expresión 5 + {4 * 6÷3+1+ [3-(4-8) + (3-2)] }

Answers

Answer:

Vota Trump

Step-by-step explanation:

Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.​

Answers

[tex]\sqrt5[/tex]Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = [tex]\sqrt5[/tex]  / 3

Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex]  / 3) /  (2 / 3) =  [tex]\sqrt5[/tex]  / 2

How far apart are parallel lines m and n such that T (ΔXYZ) = (Rn ∘ Rm)(ΔXYZ)?

Answers

Answer:

Parallel lines m and n are 6 units apart

Step-by-step explanation:

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