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
Scilla [17]
2 years ago
11

Please help me with this

Mathematics
1 answer:
Len [333]2 years ago
3 0

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

angle = \frac{(n-2)*180}{n} , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

\frac{(6-2)*180}{6}=120 , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

\frac{360-2(120)}{2} = 60 , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

x+60=120

x=120-60

x = 60 degrees

You might be interested in
How can you use a ratio table to identify patterns and find equivalent Ratios?
tamaranim1 [39]
By analyzing the data
8 0
2 years ago
Read 2 more answers
PLATO
vitfil [10]

Answer:

d.)33.33%

Step-by-step explanation:

There are a total of 102 students that enjoy watching soccer most.

Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.

7 0
3 years ago
Read 2 more answers
Can you help me with these problems please?5-3/8
son4ous [18]
CAN  SOMEONE PLEASE HELP  ME ANSWER THIS  QUESTION 


7 0
3 years ago
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
liubo4ka [24]

Answer:

50

Step-by-step explanation:

[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]

[3 × 3 + (8 - 3)] + [4 × (36 - 27)]

(9 + 5) + (4 × 9)

14 + 36

50

3 0
3 years ago
Read 2 more answers
Five times the sum of the m∠B plus 7.2°
MrRa [10]
Hello hola nichmeftic
3 0
3 years ago
Other questions:
  • How many permutations in the word calculus
    15·1 answer
  • How do functions and slopes work i dont understand anything work?
    9·1 answer
  • Y varies directly with x , and x=3 when y=16 . What is x when y=40
    13·1 answer
  • The beginning balance of a credit card account is $500 the monthly interest rate is 0.012 if a payment of $100 is made on the la
    6·1 answer
  • An isosceles triangle has exactly two sides that are equal in length​ (congruent). If the base​ (the third​ side) measures 46 in
    10·1 answer
  • Solve by substituting the equation y=-x-6 y=x-4<br>(plz show work)
    15·1 answer
  • I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for
    6·1 answer
  • The difference between two positive numbers is 7 and the difference between thes
    7·2 answers
  • Express the fractions as equivalent decimals.5/25
    14·2 answers
  • A car is known to be 88% likely to pass inspection at a certain motor vehicle agency inspection office. what is the probability
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!