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

Answers

Answer 1

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.


Related Questions

I NEED HELP WITH THIS EQUATION

Answers

Answer:

Hello! answer: 2/5

Step-by-step explanation:

3 ÷ 7 = 0.428571428571

2 ÷ 5 = 0.4

Therefore 3/7 is bigger then 2/5 Hooe that helps!

what is the formula to find angle A? please help

Answers

Answer:

Step-by-step explanation:

The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows: The angles in a triangle (a 3-sided polygon) total 180 degrees.

please answer this through here. People are giving me links that i cant open

Answers

Answer:

Bulldogs

Step-by-step explanation:

3/8 is less then 1/2

3/8 is less than 4/5

3/8 is less than 2/3

Joy starts with $18, and then withdraws $1 every 4 weeks, what is the equation

Answers

Answer:

The equation is how many weeks does he need to wait to get $18?

Pls help with trig ✋

Answers

Step-by-step explanation:

From Pythagorean theorem

x^2 = (10)^2 - (8)^2 = 36 or x =6

sin theta = opp/hyp = 6/10 = 3/5

cos theta = adj/hyp = 8/10 = 4/5

tan theta = opp/adj = 6/8 = 3/4

cot theta = 1/tan theta = 4/3

sec theta = 1/cos theta = 5/4

csc theta = 1/sin theta = 5/3

How do I solve these problems?

Answers

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

1.)

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

2.)

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Mrs. Fulcher had 14 gallon of milk, and she bought 12 gallon more. Her family then drank 58 gallon of milk. How much milk does Mrs. Fulcher have left?

Answers

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

The volume of a rectangular prism is 945 ft. If it has a length of 15 ft and a width of 9 ft, what is
its height?

Answers

Answer: 7ft

Step-by-step explanation:

Rectangular Prism = L x W x H

135H = 945

H = 7 ft

Please help! I just need the second question answered given the first is correct.

Answers

Answer: 0.970 ??

Step-by-step explanation:

Using the extreme value theorem, which graph has a maximum of 5 and minimum of -3?

Answers

Answer:

B

Step-by-step explanation:

EDGE

Find the value of x.

Answers

Answer:

57?

Step-by-step explanation:

I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180

57 ig because the inside of a triangle is always 180

Mallory began the month $135 in debt.
After one week of working overtime, she
was able to remove $95 of debt. Her
situation can be represented by the
equation:

Answers

Answer:

-135+95

Step-by-step explanation:

Part a) Which animal is the fastest?
Part b) What is the speed of that animal?

Answers

Answer:

cheetah and 70 mph

1.Blue wild beast (33 1/3 / 2/3)
2.Brown hare (8 / 1/6)
3.Cheetah (7 / 1/10)
4.Elk (18 / 2/3)

To find the speed we need to do Distances / time= speed

To divide fraction you used
K -keep
C - change
F - flip

(1) 33 1/2 / 2/3=

67/2 x 3/2=186/4

186/4 = 46.5

2. 8 / 1/6
8/1 x 6/1= 48

3. 7 / 1/10
7/1 x 10/1=70

4. 18/ 2/3
18/1 x 3/2 = 54/2
54/2= 27





1.Blue wild beast (33 1/3 / 2/3) = 46.5
2.Brown hare (8 / 1/6)= 48
3.Cheetah (7 / 1/10) =70
4.Elk (18 / 2/3)=27

Answer :
1. The cheetah is faster

2.
1.Blue wild beast (33 1/3 / 2/3) = 46.5
2.Brown hare (8 / 1/6)= 48
3.Cheetah (7 / 1/10) =70
4.Elk (18 / 2/3)=27

I hope this helped and that I was right, have a nice day.

Which of the following relations is a function?

a
{(1, 1), (1, 2), (1, 3)}
b
{(0, 0), (0, 1), (1, 2)}
c
{(2,0), (3, 2), (5, 2)}
d
{(3, 1), (4, 1), (3, 2)}

Answers

C is a function. X cannot repeat itself more than once, that will make it not a function. For example 1,1, 1,2, 1,3 x repeats itself 3 times that is NOT a function. Y can repeat itself more than once but X cannot.

Answer:

C is a function

Step-by-step explanation:

For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.

Solve each equation. Show or explain your reasoning.

−3x − 5 = 16

−4(y − 2) = 12

Answers

Answer:

Step-by-step explanation:

First equation:  −3x − 5 = 16

 Combine the constants:

 -3x = 21

  Solve for x using division:  x = 21/(-3)   or  x = -7

Second equation:  −4(y − 2) = 12

 Reduce this by dividing both sides by -4:  y - 2 = -3

 Add 2 to both sides, to isolate y:  y = -1

how to you divide denominators by numerators?

Answers

What he are she said.

Hey please help be geniune please help me no links will mark brainliest :( !

Answers

Answer:

71 - Maybe

Step-by-step explanation:

11 x 7 = 77

11 - (4 + 4) = 3

2 x 3 = 6

77 - 6 = 71

1/2 cm +1/2 cm +3/4 cm +3/4 cm

Answers

Answer:

3 1/2cm

Step-by-step explanation:

What else do I do?

(btw I'm The one with the black and white pfp!

Answers

Answer:

if u don't want them to have your insta/snap, tell them that you don't like sharing them. I just wouldn't respond after that

If they are bothering you say "Thank you for being nice to me, I am going to say this in the most the nicest way possible, but you're kind of bothering me right now. If you keep messaging me/ bothering me I'm going to have to block you" or you could say "Please stop asking me for my insta/snap if you keep asking me I am going to have to block you. Thank you have a nice day :)"

you could say something like that

Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/ ( pages 2,3,4 only )

Answers

Answer:

2. more baking powder b/c 7/8 > 1/4

3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24

4. Question: Who helps for more time at the fair and who helps for more time?

Josh helps for less time than Sarai, as 3/8 < 8/12

Step-by-step explanation:

hope this helps

How to write one thousand, one hundred twenty-four and forty nine hundredths in expanded notation

Answers

Answer:

1,124.49

Step-by-step explanation:

Answer:

1000 + 100 + 20 + 4 + 0.4 + 0.09

Step-by-step explanation:

Rewrite 3* = 243 as a logarithmic equation.

Answers

Answer:

log₃(243) = x

Step-by-step explanation:

3^x = 243

Rule: a^x = b -> logₐ(b) = x

log₃(243) = x

Which of the following sets of numbers could not represent the three sides of a right
triangle?
{20, 48,52}
{40, 75, 85}
{14, 47,50}
{13, 84, 85}

Answers

Answer:

{14, 47, 50}

Step-by-step explanation:

The three sides of a right triangle must satisfy

a² + b² = c², known as the Pythagorean Theorem. So let's put the pairs into the theorem.

20, 48, 52

a² + b² = c²

20² + 48² = 52²

400 + 2304 = 2704

2704 = 2704

20, 48, and 52 represent the three sides of a right triangle.

40, 75, 85

a² + b² = c²

40² + 75² = 85²

1600 + 5625 = 7225

7225 = 7225

40, 75, and 85 represent the three sides of a right triangle.

14, 47, 50

a² + b² = c²

14² + 47² = 50²

196 + 2209 = 2500

2405 ≠ 2500

14, 47, and 50 do NOT represent the three sides of a right triangle.

13, 84, 85

a² + b² = c²

13² + 84² = 85²

169 + 7056 = 7225

7225 = 7225

13, 84, and 85 represent the sides of a right triangle.

14, 47, and 50 do NOT represent the three sides of a right triangle, therefore making it your answer.

Find the mode of the following set of data:
5, 8, 2, 5, 2,5
A 5
B) 2
C 2 and 5

Answers

Answer:

A  5   is the mode of the data

Answer:

Option C) 2 and 5

Step-by-step explanation:

Mode :- The only number which appears multiple times 

So 2 and 5 appears multiple times...

HELP PLEASE!
Line 1 is parallel to line 2. Which of the following statements is true?

Answers

Letter J is correct

find the value of x and show your steps

Answers

Answer:

x = 4

Step-by-step explanation:

The image provided below, I find very helpful when trying to solve difficult problems such as this one.

We use the same relationship, the only difference is we are given expressions and numbers for the segments

If the product of the segments in one chord equal the product of the segments in the other chord then,

x * 6 = 8 * ( x - 1 )

Or 6x = 8 ( x - 1 )

Now we solve for

Step 1 distribute the 8

8 * x = 8x

8 * -1 = -8

We now have 6x = 8x - 8

step 2 subtract 8x from each side

6x - 8x = -2x

8x - 8x cancels out

we now have -2x = -8

step 3 divide each side by -2

-2x / -2 = x

-8 / - 2 = -4

we're left with x = 4

In the triangle ABC
are drawn two sides
of it, BB1 and AA1.
Those half-edges
intersect at point O.
What is the length of
the semicircular BB1
if B10 = a cm?

Answers

Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

Tickets for a baseball game sell for $3. One hundred fifty were sold in advance. The stands has 400 seats.
Let A be the total amount of ticket sales, in dollars, including the tickets sold at the door. Which statement best decribes A?
a. A ≥ 1,200
b. 450 ≤ A ≤ 1,200
c. A ≥ 450
d. A ≤ 900

Answers

Answer:

b. 450 ≤ A ≤ 1,200 is a required answer.

One fifty sold

Price

150(3)$450

Total seats=400

Total price

400(3)$1200

So

450≤A≤1200 is correct

how do u do 7 over 4 = 35 over m in solving proportions? plz helppppppppppp

Answers

Answer:

7/4 = 35/20

Step-by-step explanation:

35 = 7 x 5 ; 20 = 4 x 5

To which rational number subset(s) do the following numbers belong?
1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers

Answers

D.

D. natural numbers, whole numbers, and integers

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