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tamaranim1 [39]
3 years ago
14

Solve for x in the diagram below.

Mathematics
2 answers:
svetoff [14.1K]3 years ago
6 0

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

NemiM [27]3 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

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ale4655 [162]

I believe the answers to your question should be as follow:

-4, 3

4, 3

-4, -3

-8, 6

Please tell me if this isn't correct!

8 0
3 years ago
The regular price of a shoe is $48. The store is having a buy one get one 1/2 off sale. If you buy 2 pairs of shoes for that pri
Ulleksa [173]

Answer:

25% discount

Step-by-step explanation:

48*2=96

However, instead one pair is 50% off. So, one pair will be $48 and another will be $24. So, if you purchase two pairs, you only have to pay$72. 72/96=.75. This means you are paying for 75% of the original price, meaning you got 25% off discount.

4 0
3 years ago
NEEED HELP ASAP PLEASE
garik1379 [7]

Step-by-step explanation:

( {m}^{15} )( {m}^{3} ) ^ {- 4}  \\  = ( {m}^{15} )( {m}^{3 \times  - 4} )  \\  = ( {m}^{15} )( {m}^{ - 12} ) \\  =  {m}^{15 + ( - 12)}  \\  =  {m}^{15 - 12}  \\  =  {m}^{3}  \\  {m}^{x}  =  {m}^{3}  \\ x = 3

7 0
3 years ago
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

The population standard deviation is of \sigma = 23, and to find the sample size, we have to solve for n when M = 4.

Hence:

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.327\frac{23}{\sqrt{n}}

4\sqrt{n} = 2.327 \times 23

\sqrt{n} = \frac{2.327 \times 23}{4}

(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Help me pleaseeee Find x and y.
Alex777 [14]

Answer:

x = 45°

y = 15.41 units

Step-by-step explanation:

Given quadrilateral is a square. Each angle of square is 90°

Diagonal of square bisects the angle.

\therefore \: x =  \frac{90 \degree}{2}  = 45 \degree \\  \\  \because \: diagonal \: of \: square \: is \:  \sqrt{2}  \: times \: the \:  \\ side \: of \: square \\  \therefore \: y =  \sqrt{2}  \times 10.9 \\ \therefore \: y =  1.414  \times 10.9 \\ \therefore \: y  = 15.4126 \\ \therefore \: y  \approx \: 15.41 \: units

7 0
4 years ago
Read 2 more answers
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