#2 Find the measure of x.

#2 Find The Measure Of X.

Answers

Answer 1

Answer:

60 degrees

Step-by-step explanation:

Since all the sides are congruent it is an equilateral triangle and all equilateral triangles have angles of 60 degrees.

Another way to solve it is knowing that if all sides are congruent that means all angles are congruent. Then doing 180/3 because all triangles have 180 degrees and there are three equivalent angles.


Related Questions

Find the value of x in the equation 5(x+2)-3=10+7(2x-10)

Answers

Answer:

Exact form= 67/9 Decimal form= 7.4

Step-by-step explanation:

Answer:

x= 67 /9

Step-by-step explanation:

5(x+2)−3=10+7(2x−10)

x= 67 /9

x= 67 /9

Hoped I helped

The cost of a yoga class is $15 per session. In addition,
a mat fee of $2 is charged per session. Which of the
following represents the total cost in dollars, of the
class and mat for y sessions?

Answers

You're charged $15 + $2 or $17 per session

If y = # of sessions,

$17y represents the total amount of dollars charged for y sessions

The total cost in dollars, of the class and mat for y sessions will be 17y. Then the correct option is C.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The cost of a yoga class is $15 per session.

In addition, a mat fee of $2 is charged per session.

Then the total cost in dollars, of the class and mat for y sessions will be

C = 15y + 2y

C = 17y

Then the total cost in dollars, of the class and mat for y sessions will be 17y.

Then the correct option is C.

The complete question is attached below.

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Ten boxes of paper weigh 260 pounds. Mrs. Thomas
ordered 24 boxes of paper for the science department.
How many pounds do 24 boxes of paper weigh?

Answers

Answer:

624 pounds

Step-by-step explanation:

If 10 boxes of paper weigh 260 pounds, one box of paper is equal to 26 pounds because 260 divided by 10 is equal to 26. If one box equals 26 pounds, 24 boxes times 26 pounds each is equal to 624 pounds.

Which algebraic expression represents the phrase “six less than a number”? 6x - x x - 6 6 - x x - 6x

Answers

Answer:

B.   x-6

Step-by-step explanation:

The algebraic expression is x-6. Therefore, option B is the correct answer.

We need to find the algebraic expression for the phrase "six less than a number"

What are Algebraic Expressions?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Now, for the given statement "six less than a number".

Let the unknown number be x.

So, six less than a number is x-6.

Therefore, option B is the correct answer.

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HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x

Answers

Answer:

x=9

Step-by-step explanation:

17x - 12 = 114 + 3x

First  Subtract 3x from both sides

14x - 12 = 114

Add 12 to both sides

14x=126

Divide by GCF (14)

x=9

Hope this helps! Plz award Brainliest : )

Answer:

17x - 12 = 114 + 3x

-3x +12 +12 -3x

Step-by-step explanation:

14x = 126

14/14 = 126/14 = 9

x = 9

Slope -2/3, through (-1,-6)

What is the equation of the line?

Answers

Answer:

Step-by-step explanation:

y + 6 = -2/3(x + 1)

y + 6= -2/3x - 2/3

y + 18/3 = -2/3x - 2/3

y = -2/3x - 20/3

The cost of one tire if a set of 4 tires cost to $322 The cost of each tire is about ​$...

Answers

4tires is $322
one tire is $x

322/4= $80,5

Show all you work plzzz

Answers

Answer:

[tex]u=-7[/tex]

Step-by-step explanation:

[tex]-2u-5=9[/tex]

Add 5 to both sides:

[tex]-2u-5+5=9+5[/tex]

[tex]-2u=14[/tex]

Divide both sides by -2:

[tex]\frac{-2u}{-2}=\frac{14}{-2}[/tex]

[tex]u=-7[/tex]

A number increased by five is equal to thirty-four?

Answers

Answer:

that would be 29 my friend

Step-by-step explanation:

29 plus 5 is 34

3) 24 + 8x = 8(5x + 8) + 8x*

Answers

24+8x=8(5x+8)+8x
24+8x=40x+64+8x
24+8x=48x+64
8x-48x=64-24
-40x=40
x=-1

PLS HELPPP ITS NOT THAT HARD

Answers

Answer:

Step-by-step explanation:

1. System A is consistent and independent and unique solution

2. System B: inconsistent and no solutions

3. System C: consistent and dependent and infinite many solutions

Find the value of x.

10/6 = x/12

Answers

the answer is x= 20



you cross multiply to get
5/3=x/12



then you swap both side to get
60=3x



then you dive both side getting
x=20



Determine if the set is the empty set.
1) {XIX E N and 8

Answers

Yes that is the empty set

Stephen Kiprotich, the 2012 Olympic marathon winner, completed the 26.219 miles in 128 minutes. What was his speed in kilometers per minute? PLS HURRY IM RUNNING OUT OF TIMEEEEE

Answers

Answer:

0.127 kilometers per minute

Step-by-step explanation:

if you can divide the number of miles by the number of minutes: 26.219/128 = 0.205 miles per minute. Next, we can use the proper conversion factor to give the number of kilometers per minute. Since 1 mile = 1.609 km, you can divide 0.205/1.609 to result in 0.127 kilometers per minute

Answer:Sample Response: Find the speed by dividing 26.219 by 128. Convert miles to kilometers by multiplying by the conversion factor, with miles in the denominator and kilometers in the numerator.

Step-by-step explanation:Pls give me brainliest award

An airport parking lot has. 2800 spaces.if each row has 25 spaces.how many rows are there?

Answers

70,000 .........................

What numbers are more than 3 units from −1 on a number line?

Answers

Hey there! I'm happy to help!

There is going to be a number 3 units to the right and 3 units to the left. If we go to the right, we add.

-1+3=2

And if we go to the left, we subtract.

-1-3=-4

So, the numbers that are more than 3 units from -1 on a number line is any number greater than 2 or less than -4.

Have a wonderful day! :D

A rectangular garden has the dimensions
shown in the figure.
7.48 meters
15.6 meters
What is the perimeter of the garden?
A. 16.24 meters
C. 46.16 meters
B. 23.08 meters
D. 116.688 meters

Need ASAP

Answers

The answer is c add it

How would you match these up?

Answers

Answer: Bottom right corner (ie southeast corner)

This 3D solid is a strange sideways bowl shape. Each cross section is a ring to show the empty space.

======================================================

Explanation:

Check out the diagram below. The graph was created with GeoGebra. We have y = x^2 in red and x = y^2 in blue.

The gray region is the region between the two curves. We spin this gray region around the horizontal green line y = 1 to generate the answer mentioned above.

Note how (1,1) is a fixed point that does not move as this is on the line y = 1. Every other point moves to sweep through 3D space to create the solid figure. One way you can think of it is to think of propeller blades. Or you can think of a revolving door (the door is "flat" so to speak, but it sweeps out a 3D solid cylinder).

An automobile traveled 106 miles in 2 hours. What was average speed? Use the formula d = rt .
104 mph
0.02 mph
53 mph
108 mph
212 mph

Answers

The average speed of the automobile is 53mph.

Description of average speed

Average speed is the total distance travelled by the automobile (106 miles) divided by the total hours travelled by the automobile (2 hours). It is the rate of the movement of the automobile.

Determining the average speed

Average speed = total distance travelled / total time travelled

106 / 2 = 53 mph

To learn more about how to determine average speed, please check: brainly.com/question/9834403

Trevor spent $27 and now has no money left. He had $
his purchase.
before

Answers

Answer:

Wouldn't it be 27 dollars?

Step-by-step explanation:

We invest $3500 in an account that pays simple interest of 4% each year. How much interest is earned after 10 years?

Answers

Answer:

$1400

Step-by-step explanation:

Take $3500 and multiply by 4% (0.4) and then get the product of 140 then multiply by 10 for the years and get $1400. Hope this answer helped!

A word that means something has been added.

Answers

Answer:

Summed?

Step-by-step explanation:

it's the only word i could think of that's math related.

You purchase 5 DVDs and a CD. The cost of the CD is $9.50. Your total bill (before tax) is
$44.45. Write and solve an equation to find the cost of one DVD. (You may assume all the
DVDs are the same price.) *

Answers

Answer:

$6..99

Step-by-step explanation:

$6.99 each you do 44.45 - 9.50 than divide by 5

What are some considerations you need to make before choosing a career?

Answers

Answer: SMART Goals

Step-by-step explanation:

Smart goals are in abbreviation of specific, measurable, achievable, realistic, and timely. This helped me choose my career because I use my career as a goal .

Please help it is due right now 7^8/7^6 =?

Answers

Answer:

7^2 or 49

hope this helped

On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.3 and the variance in annual salaries for managers in public accounting firms is approximately 11.3. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses.

Answers

Answer:

The null hypothesis is  [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]

The alternative  hypothesis is  [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]

The conclusion is  

 There is no  sufficient evidence to conclude that there is a difference between the variances of salaries for seniors and managers

Step-by-step explanation:

From the question we are told that

   The variance for seniors is  [tex]s ^2_1 = 2.3[/tex]

   The variance for managers  is [tex]s ^2_2 = 11.3[/tex]

   The  first sample size is  [tex]n_1 = 25[/tex]

    The second sample size is  [tex]n_2 = 26[/tex]

    The significance level is  [tex]\alpha = 0.05[/tex]

     

The null hypothesis is  [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]

The alternative  hypothesis is  [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]

Generally the test statistics is mathematically represented as

      [tex]F = \frac{s_1^2}{s_2^2}[/tex]

=>    [tex]F = \frac{2.3}{11.3}[/tex]

=>    [tex]F = \frac{2.3}{11.3}[/tex]

=>    [tex]F = 0.2035[/tex]

Generally the p-value is obtain for the F-distribution table (Reference - Free statistic calculator ) at a degrees of freedom

          [tex]df_1 = 25 - 1[/tex]

          [tex]df_1 = 24[/tex]

and    [tex]df_2 = 26 - 1[/tex]

           [tex]df_2 = 25[/tex]

The p- value is  

        [tex]p-value = f_{0.2035,24,25} = 0.99989[/tex]

So from the calculation we see that

       [tex]p-value > \alpha[/tex]

So we fail to reject the null hypothesis

     

In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328 (Money, January 2009). Assume that the cost for this type of hospital emergency room visitis normally distributed with a standard deviation of $92. Answer the following questions about the cost of a hospital emergency room visit for this medical service.Required:a. What is the probability that the cost will be more than $500?b. What is the probability that the cost will be less than $250?c. What is the probability that the cost will be between $300 and $400?d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 328

Standard deviation (sd) = 92

To obtain Zscore :

Zscore = (x - m) / sd

What is the probability that the cost will be more than $500?

x = $500

Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87

1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307

b. What is the probability that the cost will be less than $250?

x = $250

Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85

p(Z < - 0.85) = 0.1977

c. What is the probability that the cost will be between $300 and $400?

x = 300

Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30

p(Z < - 0.3) = 0.3821

x = 400

Zscore = (400 - 328) / 92 = 72/ 92 = 0.783

p(Z < 0.783) = 0.7823

0.7823 - 0.3821 = 0.4002

d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Probability is lower 8%

P (Z < Zscore) = 0.08

Zscore of 0.08 corresponds to - 1.41 on the z table

Zscore = (x - m) / sd

-1.41 = (x - 328) / 92

-129.72 = x - 328

-129.72 + 328 = x

x = 198.28

Which polynomial is prime? x2 + x + 1 x2 – x – 2 x2 – 12x + 11 x2 + 2x – 8

Answers

Answer:

[tex]x^{2} +x+1[/tex]

Step-by-step explanation:

[tex]x^{2} +x+1[/tex] is the only prime polynomial because the others can be factored.

[tex]x^{2} - x -2 \\becomes (x-2)(x+1)[/tex]

[tex]x^{2} -12x+11\\becomes (x-11)(x-1)[/tex]

[tex]x^{2} +2x-8\\becomes (x+4)(x-2)[/tex]

In between these four polynomials, x² + x + 1 is the only prime polynomial.

What is a prime polynomial?

A prime polynomial doesn't have any factor except 1 and itself.

Given,

x² + x + 1 = 1 × (x² + x + 1)

x² – x – 2 = x² - 2x + x - 2 = x(x - 2) + (x - 2) = (x - 2)(x + 1)

x² – 12x + 11 = x² – 11x - x + 11 = x(x – 11) - (x - 11) = (x - 1)(x - 11)

x² + 2x – 8 = x² + 4x – 2x - 8 = x(x+4) - 2(x+4) = (x-2)(x+4)

Therefore, x² + x + 1 is the only prime polynomial here.

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What is the greatest whole number that rounds to 1,900 when rounded to the nearest hundred? The least whole number?

Answers

Answer:

When we round to the nearest hundred, we must look at the tens digit.

If the tens digit is 5 or lager, then we round up (we add 1 to the hundreds digit and after that, all the digits are zero.)

If the tens digit is smaller than 5, then we round down (the hundreds digit remains unchanged and after that, we complete with zeros.)

Then, the rounded number is 1900.

a) The greatest whole number that rounds to 1900 would be a number that is rounded down, then it will be:

1949

b) The least whole number that is rounded to 1900 is a number that we round up, this is:

1850

Largest: 1,949

This number is largest because it is closest to 1,900 without the number in the tens place being greater than 5, and the number in the tens place is bigger than 5

Smallest: 1,850

This number is smallest because any smaller number, like 1,849, would round to 1,800, and the number in the tens place is smaller than 5.

Have a good day!

(√5x+11 -4)(√5x+11 +4)

Answers

Answer:

5[tex]x^{2}[/tex]+49.193496x+105

Step-by-step explanation:

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