1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natita [175]
3 years ago
13

A convex hexagon has interior angles with measures x^0, (5x - 103); (2x + 60), (7x - 31), (6x -6), and (9x - 100), what is the v

alue of x?
Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

x = 30.66°

Step-by-step explanation:

The sum of the interior angles of a hexagon is 720°

Each angles are x^0, (5x - 103); (2x + 60), (7x - 31), (6x -6), and (9x - 100),

we add all these angles together

x^0 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100) = 720

x^0  = 1

1 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100)

1 + 5x - 103 +2x + 60 + 7x -31 + 6x - 6 + 9x - 100 = 720

1 - 103 + 60 - 31 - 6 - 100 + 5x + 2x + 7x + 6x + 9x = 720

1 - 180 + 29x = 720

-179 + 29x = 720

29x = 720 + 179 = 889

x = 889/29 = 30.655 ≅ 30.66°

You might be interested in
Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h?
Alexus [3.1K]

Answer:

60=3/4

x=4/4

4/4÷1/4

4/4*4/1

4/1*1/1

4/1

4

3/4=12 because if 1/4 is 4 then 3/4 is 12

60=12

60÷12=5

5*4/20

60+20=80

Shaun will read 80 pages in 1 hour

I can only read 25 because i hate reading

4 0
3 years ago
Determine all numbers at which the function is continuous. <br> Picture provided below
Ne4ueva [31]

Answer:

Choice D

Step-by-step explanation:

The function will be continuous everywhere except where the function in the denominator is 0. We, therefore determine the value(s) of x for which the function will be 0;

x^{2} -6x+8=0\\x^{2} -2x-4x+8=0\\x(x-2)-4(x-2)=0\\(x-4)(x-2)=0\\x=4\\x=2

Therefore, the points x= 2 and x =4 are points of discontinuity

5 0
4 years ago
The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players
AfilCa [17]

Answer:

The highest score is 32.

Step-by-step explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

\bar{x} = \dfrac{\displaystyle\sum x_i}{n}

Putting values, we get:

14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i  = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32

Thus, the highest score is 32.

4 0
4 years ago
11. The exponential function given by ​H(t)=80,030.83​(1.0481​)t​, where t is the number of years after 2010​, can be used to pr
telo118 [61]

A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The exponential function that can be used to project the number of centenarians in a certain country is H(t) = 80,030.83(1.0481)^t.

Now, the number of centenarians in the country in 2013 is,

H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}

Also, the number of centenarians in the country in 2038 is,

H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}

Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

5 0
3 years ago
Please teach me how to do this question..tq​
nikitadnepr [17]

Answer:

Emilia bought 28 sweets

Step-by-step explanation:

now they have 65, but before they had 65-15+10 because earlier, zakiah had ten more sweets than now and Emilia had 15 less, so basically, if you wanna calculate number of sweets they had earlier, you have to make minus from plus and in reverse too.

65-15+10=60 and now just do that simply ratio

E:Z=7:8

E+Z=7x+8x

60=15x

4=x

7x=28=Emilia

8x=32=Zakiah

Accuracy test:

(28+15)+(32-10)=65

28 is 4•7 and 32 is 4•8

3 0
4 years ago
Other questions:
  • Three corporations each own land. Corporation A owns 3.2 × 105 acres, corporation B owns 4 × 104 acres, and corporation C owns 4
    14·1 answer
  • If a triangle has one right angle then the other two angles are complementary
    12·1 answer
  • What is the equivalent expressions for 8(t+4)
    10·2 answers
  • Simplify 18ab/15bc multiply by 20cd/24de​
    12·1 answer
  • The first triangle is dilated to form the second triangle.
    11·1 answer
  • 75 points! Will mark brainliest! Only answer if you know it! Random answers will be reports because I’m trying to get the true r
    7·1 answer
  • You are going to spin the spinner once and flip the coin once. Write the total number of outcomes for your answer. II
    8·2 answers
  • The constant of proportional can be found by finding the
    10·1 answer
  • 6
    6·1 answer
  • The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!