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kkurt [141]
3 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]3 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.

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3x+6y=36 and -3x-6y=0​
Anastasy [175]

Answer:

No solution

Step-by-step explanation:

3x + 6y  =36

-3x - 6y =0​

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0 ≠ 36

No solution

4 0
3 years ago
PLEASE HELP!
Mariana [72]
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------


6 0
3 years ago
Please help ill give brain
Rasek [7]

Answer:

23 r1

Step-by-step explanation:

                 

                                    23 R 1

                            28/653

                                 -56

                                      93            bring down three

                                      92

                                       =1 which is remainder

28*2=56

28*3=92

6 0
3 years ago
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klemol [59]

Answer:

1.75

Step-by-step explanation:

Good luck hope it's right

4 0
2 years ago
Someone that understand this can help me out?
Kryger [21]
Plug in -2 to x in the formula
So f(-2)= ((-2)+1)^2
Your answer should be: 1
7 0
2 years ago
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