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
mezya [45]
2 years ago
14

Find the value of X. Please show/explain work, and sorry if it’s hard to read

Mathematics
1 answer:
aliya0001 [1]2 years ago
5 0

Answer:

x = 100°

Explanation:

The polygon has 6 sides, meaning it's a hexagon. In the picture you can see the following steps under #1:

(6-2) x 180° = 4 x 180 = 720°

720 is the total amount that all the angles should add up to, including the missing number x.

To solve for x add all of the angles up:

120 + 156 + 145 + (x + 9) + x + 90 = 720

520 + 2x = 720 (subtract 520 from both sides)

                 -520

          2x = 200 (divide 200 by 2 to have x on its own)

             x = 100°

To make sure it's correct, plug in the value (100°) for x in the original equation to check the answer:

120 + 156 + 145 + 100 + 9 + 100 + 90 = 720

720 = 720 Correct

You might be interested in
What is the answer and how do you solve <br><br><br> 21x^3/3x^−1
Sunny_sXe [5.5K]

Answer:

  as written: 7x^2

  perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

  \dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

  21x^3/(3x^-1)

then the simplification is ...

  \dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b/a^c = a^(b-c)

6 0
3 years ago
Help me with this please​
BabaBlast [244]
It’s d, d is the right answer
7 0
3 years ago
Read 2 more answers
Write an equation or inequality to represent "five times the difference of a number n and forty two is ten more than twice the p
IRINA_888 [86]

Five times the difference of a number n and forty two is ten more than twice the product of a number x and number y

  • Five times: 5 ×
  • difference of a number n and forty two: (n - 42)
  • is: =
  • twice the product of a number x and a number y: 2(xy)
  • ten more than: + 10

Rewrite the expression into an equation.

<h3>5(n - 42) = 2(xy) + 10</h3>
3 0
3 years ago
Read 2 more answers
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
Naily [24]

Answer: 1406

Step-by-step explanation:

Given Table :

Admissions   Probability

1,040                0.3

1,320                0.2

1,660                0.5

Now, the expected number of admissions for the fall semester is given by :-

E(x)=p_1x_1+p_2x_2+p_3x_3\\\\\Rightarrow\ E(x)=0.3\times1040+0.2\times1320+0.5\times1660\\\\\Rightarrow\ E(x)=1406

Hence, the expected number of admissions for the fall semester = 1406

3 0
3 years ago
Helen has 112 coins she has 8 times as many coins as jake how many coins dose jake have in his collection
lions [1.4K]
Jake has 14 coins in his collection. 112 divided by 8 equals 14.
5 0
3 years ago
Other questions:
  • A piece of fabric 180 inches long is cut into two pieces such that 3 times the larger piece exceeds 4 times the smaller piece by
    13·1 answer
  • Find two algebraic expressions for the area of each figure. First, regard the figure as one large rectangle, and then regard the
    13·1 answer
  • Find the roots of the equation below. X^2 - 6 + 9 = 0
    14·1 answer
  • Sarah runs 2/3 mile and Ben runs 1/2 mile each day for 7 days. How many total miles do they run?
    10·2 answers
  • Write an equivalent expression to 9y -1/2(4y+20)
    11·2 answers
  • What the answer.....
    6·2 answers
  • Which family of function does the graph on the right belongs to?
    12·2 answers
  • If 7 is P percent of 13, then P is a number between
    15·2 answers
  • Find ℎ(x) = f(x) − g(x)
    6·2 answers
  • prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!