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
pentagon [3]
3 years ago
5

ABCDEFGHIJ is a regular decagon and the measure of <D is 144º. What is the measure of <A?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
4 0

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

KatRina [158]3 years ago
4 0

Answer:

given ABCDEFGHIJ is a decagon

As we know the sum of all ten interior angles of a decagon = 1440°

so measure of each angle of decagon = (1440/10)° = 144°

so the measure of ∠A would be 144° (C)

given Δ ABC is a equilateral triangle

As we know the sum of all three interior angles of a equialter traingle = 180°

so if one angle of an equilateral triangle is 60°

then the remaining of the angles would have the measure of 60° each

So answer = 60°(B)

Hope it helps

You might be interested in
What is the value of q?
malfutka [58]
Triangles QST and RST are similar.  Therefore, the following is true:

 q       s
--- = ----   This results in 10q=rs.
 r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.  
            4      s
Also:  ---- = -----    which leads to s^2 = 40
            s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)


5 0
3 years ago
Read 2 more answers
The largest prime factor of twelve is _____. user: identify the fractions as proper, improper, or mixed; however, if the fractio
andrew-mc [135]
The prime factors of 12 are : 2 x 2 x 3.....and 3 is the largest

4 1/3 is a mixed number because it has a whole number and a fraction.
6 0
3 years ago
Read 2 more answers
What is the equation of the trend line?<br> Enter your answers in the boxes.<br><br> K = _J +_
MrRissso [65]
The y-intercept of the trend line is (0,28).  The slope of this line is
         28-0
m = --------- = 2
         14-0

Thus, the equation of the trend line, in variables K and J, is

K = 2J + 28
8 0
3 years ago
Find the surface area of a cylinder with diameter of 10 and height of 4
castortr0y [4]

Answer:

282.74

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Use digits or discs on the place value chart to represent following question. 10 x 5 thousands
Mila [183]
It is 50 thousands because 5 times 10 = 50.
6 0
3 years ago
Other questions:
  • Solve for x in terms of p and a 2x+a=p
    7·2 answers
  • A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
    11·1 answer
  • How do you solve both of these problems? Please helpp
    9·1 answer
  • Is y=2x(x-2) a quadratic function????
    6·1 answer
  • Helppppp !!!!!!!!!!!!​
    8·2 answers
  • Just Answer 8 and plz help
    7·1 answer
  • Find the surface area of the composite solid.
    7·1 answer
  • 8=3a-4 please help quickly plssssssss
    5·2 answers
  • Can someone help on this one
    7·1 answer
  • WILL GIVE EXTRA BRAINLST <br><br> HAVE A NICE DAy
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!