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Natali5045456 [20]
3 years ago
15

A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possi

ble for the last side of the triangle?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

2 < c < 12

Step-by-step explanation:

Let the last side of the triangle = c

The sum of any two sides must be greater than the third side. Let's say we have triangle ABC, where a = 5 inches and b = 7 inches

a + b > c (1)

a + c > b (2)

b + c > a (3)

From (1);

a + b > c

7 + 5 > c

c < 12

From (2):

a + c > b

7 + c > 5

7 - 5 < c

c > 2

From (3):

b + c > a

5 + c > 7

c > 7 - 5

c > 2

So the possible lengths of c are: 2 < c < 12

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Answer:

15

Step-by-step explanation:

Opposite sides in a parallelogram are equal.

2x - 5 = x + 10

Subtract x and add 5 on both sides.

2x - x = 10 + 5

Combine like terms.

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6 0
3 years ago
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Step-by-step explanation:

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3 years ago
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MrRissso [65]

2(-3y-1)+(2y+7)  

Final result :

 5 - 4y

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

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Equation at the end of step  2  :

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Step  3  :

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Answer:

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2. The slope-intercept is -2

Step-by-step explanation:

1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.

2.  (2,6) and (-1,12)

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