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lesya [120]
3 years ago
11

Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of th

e triangle is 13 m. What are the lengths of the three​ sides?
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

  • Two sides of a triangle are equal in length
  • The third side is 3 m less than the common length
  • Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

  • Assuming the common sides are x m each
  • Then, the third side will be (2x-3) m
  • Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

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Year                               Real GDP per Capita

1985                                          6,000

1986                                          6,300

1987                                           6,700

1988                                           7,200

1989                                           7,850

1990                                           8,250

1991                                            8,450

1992                                           8,550

1993                                           8,575

1994                                           8,510

1995                                           8,370

1996                                           8,100

1997                                            7,950

1998                                           7,925

1999                                           7,960

2000                                          8,035

2001                                            8,155

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In the data given above, the peak occured in year 1993 (GDP per capita of 8,575) and trough occurred in the year 1998 (GDP per capita of 7,925).

c. How long was the expansion? How long was the recession?

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