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
ira [324]
2 years ago
15

I’m really confused please help me

Mathematics
1 answer:
andreev551 [17]2 years ago
3 0
<h3>Answer:  54</h3>

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

Explanation:

Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.

Each of the triangles are isosceles. Let x be the measure of the base angles.

Use the rule that adding the three angles of a triangle gets us 180

angle1+angle2+angle3 = 180

x+x+72 = 180

2x+72 = 180

2x = 180-72

2x = 108

x = 108/2

x = 54 is the answer

----------------------

Another way to get the answer:

i = interior angle of a regular polygon with n sides

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

Each interior angle of a regular pentagon is 108 degrees.

Angle x marked in blue is half that, so it is 108/2 = 54 degrees

----------------------

A third method:

E = exterior angle of a regular polygon with n sides

E = 360/n

E = 360/5

E = 72 degrees is the measure of each exterior angle

i = 180 - E

i = 180-72

i = 108 is the measure of each interior angle.

To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.

You might be interested in
What are the vertical and horizontal asymptote of f(x)=2x/x-1
makvit [3.9K]
F(x)=2x/(x-1)

Denominator cannot be equal 0.
x-1=0
x=1  is vertical asymptote.

To find horizontal asymptote
we need divide the coefficients before x
y=2x/x=2,because when x becomes really big (x---->∞) , value of 1 will not influence the result .
 y=2 is horizontal asymptote

6 0
3 years ago
Graph the line with slope 3 passing through the point (5,-4).
12345 [234]

Answer:

y = 3x-16

Step-by-step explanation:

two points where the line goes through is (5,-4) as mentioned and (0,-16)

8 0
3 years ago
List 3 equivalent ratios of 5/2
jek_recluse [69]
3 equivalent ratios or 5/2
10 /4
20/8
30/12
6 0
2 years ago
Read 2 more answers
What’s 7(c+2) if c=9
ddd [48]

Answer:

77

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the value of x in the below complementary angle 3x(5x+2)​
Natali [406]

Answer:

The value of x is 11

Step-by-step explanation:

<em>Two angles are complementary if the sum of their measures is 90°</em>

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

   are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

∴ 8x = 88

→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

∴ x = 11

∴ The value of x is 11

7 0
3 years ago
Other questions:
  • PLEASE HELP!!!
    7·2 answers
  • Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 +
    15·2 answers
  • A gym offers two membership options. To be a member, there is a $150
    9·1 answer
  • How do you factor the inequalities with a number greater than 1 in front of x^2?​
    15·1 answer
  • 7.
    13·2 answers
  • Estimate the minimum sample size needed to achieve the margin of error E= 0.101 for a 95% confidence interval.
    7·1 answer
  • Can someone please help me with this math question?
    14·1 answer
  • Your help would be appreciated
    12·1 answer
  • What is ( 9 x 2/3 ) x 2/3
    14·1 answer
  • Please answer correctly!! I’ll mark as brainliest! <br><br> No links no fake answers
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!