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Pavel [41]
2 years ago
10

A triangle has two sides with lengths 31 centimeters and 39 centimeters. Which best describes the length of the third side? A. l

ess than 8 cm B. greater than 70 cm C. less than 8 cm or greater than 70 cm D. greater than 8 cm and less than 70 cm
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
8 0

Answer:

D. greater than 8 cm and less than 70 cm

Step-by-step explanation:

Given:

Length of one side = 39 cm

Length of other side = 31 cm

We need to find the length of third side.

Solution:

to find the length of third side we will use triangle Inequality property which states that;

"The length of the third side should be less than sum of the other two side."

Also;

"The length of the third side should be greater than difference of the other two sides."

Now Sum of 2 sides of triangle = 39 + 31 =70 cm

Also Difference of 2 side of triangle = 39 -31 = 8 cm

Hence The length of the third side should be greater than 8 cm and less than 70 cm.

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How many lb of brand X sugar which
Dafna1 [17]

Answer:  <u>4 pounds</u> of brand X sugar

====================================================

Reason:

n = number of pounds of brand X sugar

5n = cost of buying those n pounds, at $5 per pound

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5n+16 = total cost of brand X and brand Y combined

n+8 = total amount of sugar bought, in pounds

3(n+8) = total cost because we buy n+8 pounds at $3 per pound

The 5n+16 and 3(n+8) represent the same total cost.

Set them equal to each other. Solve for n.

5n+16 = 3(n+8)

5n+16 = 3n+24

5n-3n = 24-16

2n = 8

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n = 4 pounds of brand X sugar are needed

-------------

Check:

n = 4

5n = 5*4 = 20 dollars spent on brand X alone

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20+16 = 36 dollars spent total

n+8 = 4+8 = 12 pounds of both types of sugar brands combined

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The answer is confirmed.

--------------

Another way to verify:

5n+16 = 3(n+8)

5*4+16 = 3(4+8)

20+16 = 3(12)

36 = 36

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Step-by-step explanation:

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Step-by-step explanation:

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