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
docker41 [41]
2 years ago
12

ABCDE is a regular pentagon.

Mathematics
1 answer:
LiRa [457]2 years ago
8 0

Part (A)

We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72

Each interior angle is therefore 180-E = 180-72 = 108 degrees.

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

Alternatively, you could use the formula below with n = 5

i = interior angle

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

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

<h3>Answer: 108 degrees</h3>

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

Part (B)

We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.

Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.

So far we found

angle EDF = 38

angle DEF = 23

Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.

So,

x+y+z = 180

38+23+z = 180

61+z = 180

x = 180-61

x = 119

Interior angle DFE is 119 degrees.

Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.

So we subtract the value of x from 360

360-x = 360-119 = 241

This is the reflex angle DFE

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

<h3>Answer: 241 degrees</h3>
You might be interested in
Factor gcf 5ab^2 + 10ab
Mrrafil [7]
<span>5ab^2 + 10ab

5ab^2 = 5ab *(b)
10ab = 5ab *(2)

so GCF of </span>5ab^2 + 10ab = 5ab
4 0
3 years ago
Read 2 more answers
Probability question (image included)​
Alexandra [31]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Given: 3x + y = 1.<br> Solve for y.<br> O y=-3x + 1<br> O y=-3x - 1<br> O y = 3x - 1
Ivan

Answer:

easy

Step-by-step explanation:

subtract 3x both side

3 0
2 years ago
Read 2 more answers
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
RUDIKE [14]

Answer:

850m^2

Step-by-step explanation:

Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!

Hope this helps!

3 0
2 years ago
I need help with this question asap!!I will give brainliest!!!please and thank you​
pogonyaev

Answer:

Step-by-step explanation:

(4,6) and (20,14) are points on the line.

slope of line = (14-6)/(20-4) = 8/16= 1/2

point-slope equation for line of slope 1/2 that passes through (6,4):

y-4 = (½)(x-6)

in slope-intercept form:

y = ½x + 1

y-intercept = 1

6 0
2 years ago
Other questions:
  • How to put 1/6, 2/4, 1/3, 2/3 3/4 1/2 in least to greatest
    9·1 answer
  • 42000+18000-48000+49000-42000
    6·2 answers
  • If i save $200 for 6 months and i get 6% interest,how much interest would i earn in 6 months and what would my $200 be then?
    11·1 answer
  • S2 Summer Holiday Homework
    14·1 answer
  • Mrs.fisher has 91 watches on display at her store. She says she can arrange them into rows and colums without any watch left ove
    8·1 answer
  • What is the answer to 2 5/3-2 3/2=
    13·2 answers
  • Here is a shape made from a rectangle and a triangle.
    12·1 answer
  • Would these be linear combinations or quadratic equations
    7·1 answer
  • Please help me with this
    12·1 answer
  • 50 POINTS .....................
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!