Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respectively. Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

47 cm.

Step-by-step explanation:

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.

They get  27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm

find:

Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

solution:

27, 35, and 32 are each the sum of a different pair of sides of the triangle

Then 27 + 35 + 32 is the sum of all three sides, each counted twice.

Thus, 27 + 35 + 32 = 94 is twice  the perimeter

therefore,

the perimeter of the triangle is 94/2 = 47 cm.

Step-by-step explanation:

since the sides r of 2 triangles

actually perimeter = ans/ 2

perimeter of a triangle = sum of all sides/2

27+35+32/2 =94/ 2 = 47 ans

hoep.it helps

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x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal