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Nikitich [7]
3 years ago
14

Using the diagram write an equation and show all work to solve for x: 4x 6x

Mathematics
1 answer:
sattari [20]3 years ago
4 0

Answer:

x is 18 degrees

Step-by-step explanation:

We know that any straight line is 180 degrees. If you didn't know that:

A circle is 360 degrees and if you put a line through the middle, you would have 180 degrees on both sides.

Now, the angles are 4x and 6x and we want to solve for x, we can create the equation:

4x + 6x = 180 degrees.

We can add the x's together to get:

10x = 180

We can then divide both sides by 10 to get:

10x = 180

/10      /10

<em>x = 18 degrees</em>

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Which mixed number is equal to 27/6? 2 7/6 3 4/6 4 3/6 6 2/7
vredina [299]

Answer:

Expressed as a mixed number in its simplest form, 27/4 is equal

to 6 3/4 or six and three quarters.

Step-by-step explanation:

8 0
3 years ago
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre
Varvara68 [4.7K]

<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.  

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

=x-\frac{38}{100} \times x

=\frac{100 x-38 x}{100}

=\frac{62 x}{100}=\frac{31 x}{50}

So current population is \frac{31 x}{50}

Equating above expression to the given value of current population, we get

\frac{31 x}{50}=27900

x=\frac{27900 \times 50}{31}

x=45000

Hence previous population of city was 45000.

7 0
3 years ago
What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an<br> inch?
GREYUIT [131]

We know that,

Volume of sphere = 4/3πr³

72 = 4/3 × 22/7 × r³

72 × 21/88 = r³

³√17.18 = r

2.58 cm = r

:)

3 0
2 years ago
The greater of two consecutive integers is seven less than one-third the smaller integer. Find the integers
ikadub [295]

Answer:

Step-by-step explanation:consecutive integers are represented by x, x+1 ,  so for this problem the greater one is represented by x + 1.

Now you need to translate the problem.  the greater is  seven less than 1/3 the smaller

--->  x + 1 = (1/3)*x - 7 --->  now solve for x (the smaller) and x+1  (the greater)

***hint:  to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case

8 0
2 years ago
Solve each system of equations using the elimination method<br><br> 3x+8y=2<br> 4x-2y=-10
LenaWriter [7]

x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

----------------

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

8 0
2 years ago
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