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
kkurt [141]
2 years ago
11

The measures of interior angle of a convex pentagon are in ratio 1:2:3:4:5. Find the measures of each angle

Mathematics
1 answer:
vovangra [49]2 years ago
3 0

Answer:

The angles have measurements 36, 72, 108, 144, and 180.

Step-by-step explanation:

Pentagon has 5 sides and 5 angles.

The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.

3(180)=540 which is the sum of the angles in a pentagon.

So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.

We have the equation 1x+2x+3x+4x+5x=540 to solve.

15x=540

Divide 15 on both sides:

x=540/15

x=36

1x=36

2x=72

3x=108

4x=144

5x=180

The angles have measurements 36, 72, 108, 144, and 180.

You might be interested in
Which expressions are equivalent?
storchak [24]
The answer is A.) 3x-7y and -7y+3x
This is due to "3x" implies the value is positive, or "+3x", and -7y remains -7y.
So, we have 3x-7y and -7y+3x.

I hope this helps!
4 0
2 years ago
Read 2 more answers
A number cube is rolled 3 times.
Alex73 [517]
6....................
3 0
3 years ago
Anyone good at rationals
Lyrx [107]
That would be the third choice.  
pi is non repeating and it continues without bounds ( for ever!!)
7 0
3 years ago
The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak r
eduard

Answer:

a) height of this uniform distribution = 1/8 = 0.125.

b) P( 4 < x < 5) = (5 - 4)*0.125 = 0.125

c) P( 3 < x < 8) = (8 - 3)*0.125 = 0.625

d) P(x = 0) = 0*0.125 = 0

Step-by-step explanation:

Height of this uniform distribution is same as finding the probability for each waiting minutes.

Height of uniform distribution = 1/n. Where n is the number of occurence, in this n = 8.

a) height of this uniform distribution = 1/8 = 0.125.

Let random variable x = waiting time.

b) probability of waiting between four and five minutes

P( 4 < x < 5) = (5 - 4)*0.125 = 0.125

c) probability of waiting between three and eight minutes

P( 3 < x < 8) = (8 - 3)*0.125 = 0.625

d) probability of waiting five minutes exactly.

Since this would be just one line, and the width of the line is 0, then the

P(x = 0) = 0*0.125 = 0

8 0
2 years ago
Which ordered pairs are solutions to the equation x + 6y = 4?
tigry1 [53]

Answer:

24

Step-by-step explanation:

For example, the ordered pair x + 6y = 4 answer is 24

4 0
3 years ago
Other questions:
  • 13. Find the surface area of each figure to the nearest tenth.
    12·1 answer
  • Pls help being timed
    11·2 answers
  • A pump will pump 125 gallons per minute. How long will it take to empty a 12,000 gallon tank?
    10·2 answers
  • Simplify.<br> (w2–3w+5)+(-2w? +4w+7)
    12·1 answer
  • If parallelogram abcd was reflected over the y-axis, reflected over the x-axis, and rotated 180 degrees, where would point a' li
    11·1 answer
  • For 50 Points!!!!!!!!!
    15·2 answers
  • Ryan starts saving money to buy a car right after his 16th birthday. He already has $120 from his birthday. After 3 months he ha
    11·1 answer
  • The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.
    6·1 answer
  • How to solve бу - 5 = 7
    15·1 answer
  • Name three values of x that would result in <br> y = cot x being undefined.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!