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
insens350 [35]
3 years ago
5

A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s

um of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:


 (n-2) × 180°


 "n" is the number of sides of the polygon (n=5).


 2. Then, the sum of the interior angles of the pentagon, is:


 (5-2)x180°=540°


 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:


 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°


 4. Finally, the larger angle is:


 2α=2(67.5°)=135°


 5. Therefore, the answer is: 135°

You might be interested in
The sum of twelve and four times a number is 36. What is the number?
bixtya [17]

Answer:

rththrth

Step-by-step explanation:

The answer is rt

12 + 6 = 18

18 + 3tonl4hmkrthl

4 0
2 years ago
the local theater is showing a matinee and offering a special deal for the community. A ticket for an adult costs $11 and a tick
Montano1993 [528]
We will call an adult ticket <em>a</em>, and a child ticket <em>c</em>.

Since they sold 60 tickets in total, we can form the equation:
a + c = 60

We can also say that the sum of money from the adult tickets and child tickets combined is 460.
Thus we can say
11a + 6c = 460

Now, we must solve our system.

a + c = 60
11a + 6c = 460

6a + 6c = 360
11a + 6c = 460

-5a = -100
a = 20

Thus, (20) + c = 60
c = 40

a = 20 and c = 40
4 0
2 years ago
C) Si x representa un número, escribe una
lawyer [7]

YAnswer:

Step-by-step explanation:

3 0
3 years ago
Please help me in questions 15 and 21 with their inequalities and graph
aleksklad [387]

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

21) 3 + 2n <= -3 AND 1 - 3n < 19

2n <= -3 -3 AND -3n < 19 - 1

2n <= -6 AND -3n < 18

n <= -3 AND 3n > -18

n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

8 0
2 years ago
Find the percent of discount. Round to the nearest tenth
maxonik [38]

Answer: 69%

Step-by-step explanation:

16820x100= 1682000

1682000÷24365=69.033

8 0
3 years ago
Other questions:
  • 2. A line has a slope of which of the
    7·1 answer
  • Is every trapezoid a rectangle
    6·2 answers
  • You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest pen
    7·1 answer
  • Jackson's car was making a rumbling noise for 2 weeks. He decided to take it to the mechanic to get it checked out. To diagnose
    9·1 answer
  • What is a translation
    8·2 answers
  • Part a) Which animal is the fastest?<br> Part b) What is the speed of that animal?
    5·2 answers
  • What is the area of the parallelogram?
    15·1 answer
  • Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. P
    14·1 answer
  • Here is the next question jj
    10·1 answer
  • The figure shown has two parallel lines cut by a transversal:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!