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nikklg [1K]
3 years ago
10

Find the value of x.

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0

Answer:

\huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}

♨ Step - by - step explanation

☯ Given angles :

  • 2x° , 90° , x°

☯ To find :

  • Value of x

✎ Set up an equation and solve for x :

  • \sf{2x \degree \:  + 90 \degree \:  +  \: x \degree = 180 \degree}

Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.

➺ \sf{3x \degree + 90 \degree = 180 \degree}

Move 90° to right hand side and change it's sign

➺ \sf{3x \degree  = 180 \degree - 90 \degree}

Subtract 90° from 180°

➺ \sf{3x \degree = 90 \degree}

Divide both sides by 3

➺ \sf{ \frac{3x \degree}{3}  =  \frac{90 \degree }{3} }

➺ \boxed{ \sf{x = 30 \degree}}

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

❑ Rules for solving an equation

  • If an equation contains fractions , multiply each term by the LCM of denominators.
  • Remove the brackets, if any.
  • Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

dimaraw [331]3 years ago
5 0

Answer:

x = 30°

Step-by-step explanation:

2x + 90 + x = 180

3x = 90

x = 30

Topic: Angles

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

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The radius of a circle is 11.7 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
hjlf

Answer:

73.5

Step-by-step explanation:

circumference = 2πr , where r = radius

given radius = 11.7 so r = 11.7

C = 2πr

==> plug in r = 11.7

C = 2π(11.7)

==> multiply 2 and 11.7

C = 23.4π

==> multipl 23.4 and π

C = 73.5 ( rounded to the nearest tenth )

7 0
2 years ago
Read 2 more answers
In a fifth grade class, 4/5 of the girls have brown hair, of the brown-haired girls, 3/4
AfilCa [17]

Answer:

\frac{3}{5}

Step-by-step explanation:

In the fifth grade class, \frac{4}{5} of the girls have brown hair. Again among those of the brown-haired girls, \frac{3}{4} of them have long hair.

We are asked to find the fraction of the girls who have long brown hair in the class.

The fraction of the total students which have long brown hair will be (\frac{4}{5} \times \frac{3}{4}) = \frac{3}{5} . (Answer)

6 0
3 years ago
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
What are narcissistic numbers
konstantin123 [22]
69,420,911,80085 and that’s all
6 0
3 years ago
Sophia pays $19.99 membership fee for an online music store. If sophia purchases n songs for $0.99 each write the expression for
Alona [7]

Answer:

The expression for the total cost is x = 19.99 + 0.99n .

Step-by-step explanation:

Let us assume that the total cost be x.

As given

Sophia pays $19.99 membership fee for an online music store.

If sophia purchases n songs for $0.99 each .

Than the expression becomes

Total cost = Membership fee + Cost of n songs

x = 19.99 + 0.99n

Here n represented the number of songs.

4 0
3 years ago
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