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
Help pls ill give max points
katrin2010 [14]

Answer:

C

Step-by-step explanation:

The original is L, if it was roated 180 degrees clockwise it would be in the same spot

6 0
2 years ago
Read 2 more answers
which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?
luda_lava [24]

Answer:

y=-2x+12

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12

7 0
3 years ago
Question 8<br> A scuba diver descends 13 feet and then another 20 feet. What is his final position?
xz_007 [3.2K]

The answer would be -33

4 0
3 years ago
Read 2 more answers
Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an an
balandron [24]
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft

distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
6 0
2 years ago
In the construction, A is the center of one circle, and B is
SashulF [63]
Without a picture, no way to solve this
4 0
2 years ago
Other questions:
  • Tell whether the expressions in each pair are equivalent <br><br> 5·(4-4) and 0
    11·1 answer
  • Write the fraction or mixed number as a decimal
    6·1 answer
  • Difference is 4 quotient is 2
    15·2 answers
  • A person with a mass of 92kg is running. They accelerate 1.2 m/s2 as they are getting up to speed. What is their force?
    7·1 answer
  • Xavier is using square tiles to cover a table top. The tiles are 1 1/2in. On each side. The table top is 7 1/2 inches wide and 1
    6·2 answers
  • Michael misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 19?
    7·2 answers
  • Super pressure <br> I need help
    11·1 answer
  • Please look at photo and ignore already selected answer
    9·2 answers
  • #6 Larry works 15.5 days for a total of 131.75 hours. How many hours did he average per day?​
    13·1 answer
  • If the perimeter of vectangle wall is 360 cm and its breath is 60cm. Find its length and also find the totalt cost of painting t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!