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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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Simplify -4(x+6)+2(x-2)
kati45 [8]

Answer:

-2x-28

Step-by-step explanation:

We can apply the distributive property then combine like terms for a simpler equation.

-4(x+6)+2(x-2)\\\\-4x-24+2x-4\\\\-2x-28

Hope this helped!

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4 0
3 years ago
Read 2 more answers
RS is the perpendicular bisector of TU. Find x and y​
german

Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

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8 0
3 years ago
Which of the following statements must be true based on the diagram below?(Diagram is not to scale.)FDEO EF is a segment bisecto
8_murik_8 [283]

From the diagram given;

ABCD is a quadrilateral;

Line |EF| bisects the line |AD| and line |CD|,

Thus, from the given options;

LINE |EF| is a segment bisector is the only correct option.

6 0
1 year ago
tell whether the system has one solution, infinitely many solutions, or no solution. x = -7y + 24 x + 7y = 32
mylen [45]
This system has no solution.
x = -7y + 24 can be rewritten as x = 24 - 7y
to simplify x + 7y = 32, we have to subtract 7y from both sides
x = 32 - 7y
Now, our system is as follows:
x = 24 - 7y
x = 32 - 7y


7 0
3 years ago
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