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Ulleksa [173]
3 years ago
6

Is the following relation a function? Yes or no

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

This is a function.  Each input goes to only 1 output

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1. The diagram shown is two intersecting lines. The measure of <5is 47°.
Savatey [412]

The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5

Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180

The value of x is 69

<h3>Vertical opposite angles</h3>

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertical opposite angles are congruent. Therefore,

a. ∠5 ≅ ∠7 (vertical angles)

Therefore, angles 5 and 7 are congruent angles.

∠7 = 47°

b. Suppose ∠6 = 2x - 5 . let's find x

Therefore,

∠5 + ∠6 = 180(angle on a straight line)

The equation to solve the above is as follows:

47 + 2x - 5 = 180

42 + 2x = 180

2x = 180 - 42

2x = 138

x = 138 / 2

x = 69

learn more on intersecting lines here: brainly.com/question/24715845

6 0
2 years ago
. The manager of a local small bank wants to estimate the average daily balance of all the checking accounts. Assume a random sa
MaRussiya [10]

Answer:

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

Step-by-step explanation:

Consider the provided information.

A random sample of 21 checking accounts at the bank are chosen,

That means n=21

df = n-1

df = 21-1=20

We need to  Construct and interpret a 95% confidence interval.

Determine t critical value for 95% confidence interval.

0.95=1-α

α=0.05

The sample size is small and it is a two tailed test.

From the t value table confidence interval is 2.086

An average daily balance is $303 and a standard deviation of $63.

CI=\bar x\pm t_c \times \frac{s}{\sqrt{n}}

Substitute the respective values.

CI=303\pm 2.086 \times \frac{63}{\sqrt{21}}

CI=303\pm 28.68

CI=274.32\ or\ 331.68

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

3 0
4 years ago
Math help please with best answer gets brainliest
Nutka1998 [239]

Answer:

D.

Step-by-step explanation:

Are of the triangle= height x base/2

                                 15.2 x 35.6

                                  541.12/2

                                  270.56

If you are worried about 23.4´s in the triangle they always tend to be there and confuse the student.The height will always have that little square.

8 0
3 years ago
Read 2 more answers
Use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the uppe
deff fn [24]

Answer:

The  class width is  C_w  \approx 13

Step-by-step explanation:

From the question we are told that

 The  upper class limits is max  =  121

  The  lower class limits is  min  =  14

   The number of classes is  n  =  8  \ classes

The class width is mathematically represented as  

       C_w  =  \frac{max  -  min}{n  }

substituting values

       C_w  =  \frac{121 -  14}{8  }

       C_w  = 13.38

      C_w  \approx 13

Since

     

5 0
3 years ago
A merchant marks up everything in the store by a standard 40%. What is the retail price of an item costing the merchant $15?
koban [17]

Answer:

$21

Step-by-step explanation:

15 x 1.4 = 21

Multiply by 1 to keep the original price, plus 0.4 for the 40%

7 0
2 years ago
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