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Sergeu [11.5K]
3 years ago
6

A triangle has one side of length 29 units and another of length 40 units. Determine the range in which the length of the third

side must lie.
A. -11< x < 69

B. 11≤ x ≤ 69

C. 11< x < 69

D. -11≤ x ≤ 69
Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

C

Step-by-step explanation:

The triangle inequality theorem tells us that if two sides of a triangle are known (let it be side a and b), we can know the length of range of third side (side c). By:

a-b< c < a+b

So sides are given 29 and 40.

Sum is 29 + 40 = 69

Difference is 40 - 29 = 11

Hence, the third side would be BETWEEN 11 and 69

C is the correct choice.

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{\huge{\boxed{\mathbb{QUESTION}}}

2d +9= 19

The solution is d =

{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}

Hello there, first we can place our equation, which you have stated

2d+9=19, this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract 9 with both sides of the equation giving us the result of 2d=10, this can also be represented as 2\cdot d=10, now just divide both sides of the equation by 2, our answer is d=5.

_____________________

{\huge{\boxed{\mathbb{ANSWER}}}

  • {\boxed{d=5}}

_____________________

<h3><em>Have a good day :) !</em></h3>
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