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zalisa [80]
3 years ago
12

The least measurement is the sequence is 128. The greatest measurement is 172. Find the number of sides in this polygon given th

e sum of the measures is equal to 180 (n-2) degrees
Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0

Answer:

the number of sides is 12

Step-by-step explanation:

The computation of the number of sides in the polygon is shown below:

As we know that

S_n = n ÷ 2 (a_1 + a_n)

= n ÷ 2 × (128 + 172)

= 150 n

Now given that the sum of the measures = 180 (n - 2)

So,

Sn = 180 (n - 2)

150n = 180n - 360

30n = 360

n = 12

Hence, the number of sides is 12

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Answer:

B) x+(2x+5)=29

Step-by-step explanation:

Micah = x

Aria =2x+5

x+(2x+5)=29

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7^14 ÷ 7^2<br> I-ready btw
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Answer:

7^12

Step-by-step explanation:

7^14

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7^2

When we divide with the same base, we subtract the exponents

7^(14-2)

7^12

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What is 10 hours divided into $160?
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Step-by-step explanation:

1Hour=x

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7 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

4(x^2-23x+90)=0

x^2-23x+90=0

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x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

(x-5)(x-18)=0

x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0
4 years ago
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