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kirill115 [55]
2 years ago
15

If the sides of a polygon are x + 3 units, 2x – 4 units, 5x units, and 7x + 8 units, then find the perimeter of the polygon.

Mathematics
1 answer:
Katena32 [7]2 years ago
3 0

Answer:

The answer is 15x + 7

Step-by-step explanation:

Since the perimeter of a REGULAR polygon is the number of sides multiplied by the length, and the lengths of the sides are all different, it can be assumed that this is an irregular polygon. That means the formula to find the perimeter changes to all the sides added together.

 1 x + 3

 2 x - 4

 5 x + 0

<u>+ 7 x + 8</u>

 15 x + 7

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Reil [10]

Steps to solve:

k + 10 = 27

~Subtract 10 to both sides

k = 17

Best of Luck!

8 0
3 years ago
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
dezoksy [38]

Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57                          11) 1117        21) 2177       31) 3237

2) 57 + 106= 163      12) 1223      22) 2283    32) 3343

3) 269                      13) 1329      23) 2389     33) 3449

4) 375                       14) 1435      24) 2495     34) 3555

5) 481                        15) 1541       25) 2601     35) 3661

6) 587                       16) 1647      26) 2707     36) 3767

7) 693                       17) 1753       27) 2813      37) 3873

8) 799                       18) 1859       28) 2919     38) 3979

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I hope it helps!

3 0
3 years ago
Identifying Possible Triangles
Masja [62]

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

1.

8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

3.

2+6=8>7

2+7=9>6

7+6=13>2

7-2=5<6

7-6=1<2

6-2=4<7

so it is a triangle.

4.

6+3=9 not >10 (not a triangle)

5 0
2 years ago
The answer to the question please​
Jlenok [28]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
A basketball game a team made 52 successful shots they were a combination of 1- and 2- point shots the team scored 86 points in
jasenka [17]

Answer: 15

Step-by-step explanation:

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

8 0
2 years ago
Read 2 more answers
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