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
How do you do 27 divided by 624 in partial quotients
Virty [35]

Answer:

Step-by-step explanation:

For this case we have the following numbers:

624

27

When dividing both numbers, we observe that:

The partial quotient of the division is equal to 23

The rest of the division is equal to 3.

Note: See attached image to see the procedure of the division between both numbers.

Answer:

the partial quotient of 624 divided by 27 is:

23

6 0
3 years ago
Read 2 more answers
What is the length of the equilateral triangle below?
kykrilka [37]

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, <em>a</em><em>²</em><em> </em><em>+</em><em> </em><em>b</em><em>²</em><em> </em><em>=</em><em> </em><em>c</em><em>²,</em><em> </em>where <em>c</em><em> </em>is the "HYPOTENUSE". In this case, <em>c</em><em> </em>is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find <em>a</em><em>,</em><em> </em>we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with <em>5</em><em>√</em><em>3.</em><em> </em>You understand?

I am joyous to assist you anytime.

4 0
3 years ago
Which represent the solutions
givi [52]
That looks hella hard
8 0
3 years ago
Which expression is equivalent?
iVinArrow [24]

Answer:

\large\boxed{\dfrac{g^{15}}{8h^6}}

Step-by-step explanation:

\dfrac{\left(2g^5\right)^3}{\left(4h^2\right)^3}=\dfrac{\left(2g^5\right)^3}{\left(2^2h^2\right)^3}\qquad\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^3g^{(5)(3)}}{2^{(2)(3)}h^{(2)(3)}}=\dfrac{2^3g^{15}}{2^6h^6}=\dfrac{2^3g^{15}}{2^{3+3}h^6}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{2^3g^{15}}{2^3\cdot2^3h^6}=\dfrac{g^{15}}{8h^6}

8 0
3 years ago
Find the slope and y-intercept of the line. 18x + 4y = 112 A)-9/2; 1/28 B)-2/9 ; 28 C)18; 112 D)-9/2; 28
mrs_skeptik [129]

Answer:

The slope is -9/2 and the y intercept is 28

Step-by-step explanation:

We want to put this in slope intercept form

y = mx+b where m is the slope and b is the y intercept

18x + 4y = 112

Subtract 18x from each side

18x+4y-18x = -18x+112

4y = -18x+112

Divide each side by 4

4y/4 = -18x/4 +112/4

y = -9/2x + 28

The slope is -9/2 and the y intercept is 28

5 0
3 years ago
Other questions:
  • Find the surface area of the cylinder in terms of pi. 9cm and 19cm
    10·1 answer
  • Let omega be a complex number such that omega^3 = 1. Find all possible values of {1}{1 + \omega} + {1}{1 + \omega^2}. Enter all
    14·1 answer
  • Write a problem that can be solved with the equation r divided by 6=14
    11·1 answer
  • 6th grade math help me please ! :))
    10·1 answer
  • One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?
    14·1 answer
  • Write the place value of each decimals 1.0 59​
    13·2 answers
  • Right answer gets brainlist
    6·1 answer
  • The deck of a container ship is 1,200 feet long and 300 feet wide. If one container is 30 feet long and 10 feet wide, and contai
    9·1 answer
  • On the last day of school the fifth grade class has a picnic at the city park. Exactly 182 students and 274 adults are signed up
    13·1 answer
  • Simplify expression(5x^2-2x+3)+(-6x^2+4x-7)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!