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Tresset [83]
3 years ago
12

Is it possible to make a triangle with 4 meters, 5 meters, and 7 meters

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0
The triangle Inequality Theorem states that if the longest side is shorter than the sum of the other 2 sides, it will form a triangle.
7< 4 + 5 so it forms a triangle.

It is a scalene triangle (all 3 sides are not equal).

It makes an obtuse triangle.  (To see why, click here:  http://www.1728.org/triantest.htm )


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What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> °
Gnom [1K]

Answer:

The answer to your question is:  111°

Step-by-step explanation:

The sum of the interior angles of a polygon is (n - 2) 180°

This polygon has 7 sides

Then n = 7

Process

  120 + 158 + 126 + 125 + 121 + 139 + x = (7 - 2)180

  120 + 158 + 126 + 125 + 121 + 139 + x = 5(180)

  789 + x = 900

  x = 900 -789

  x = 111°

5 0
2 years ago
8. Select all the numbers that irrational
Snowcat [4.5K]

Answer:

Answers are square root of 2, square root of 7,

Step-by-step explanation:

Irational is a number that is never ending.

Square root of 2 is irrational since there is no pattern to the number after the decimal.

10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is  not a irrational.

Sqrt of 7 does not have a pattern after the decimal point so it is irrational.

 

5.87 with a dash on top is rational since it means it has a pattern of continues 87's.

Last one it is equal to 2 so it is rattional.

4 0
2 years ago
Read 2 more answers
Sum in simplest form.4.3/6+ 2. 1/3 +1.3/4
Citrus2011 [14]
12/6 + 2/3 + 3/4

MMC of 6, 3 and 4 is 12

So 24+8+9/12 = 41/12 = 3,41 approximately.
6 0
3 years ago
Read 2 more answers
It is known that x1 and x2 are roots of the equation 3x^2+2x+k=0, where 2x1=−3x2. Find k.
miss Akunina [59]

Answer:

k = 8

Step-by-step explanation:

Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.

By the roots of an equation, ax² + bx + c , where its roots are  x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.

Comparing both equations, a = 3 b = 2 and c = k.

So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3

x₁ + x₂ = -2/3 and x₁x₂ = k/3

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

3x₁ + (-2x₁) = -2  and x₁(3x₂) = k

3x₁ - 2x₁ = -2  and x₁(3x₂) = k  

x₁ = -2  and x₁(-2x₁) = k  

x₁ = -2  and -2x₁² = k  

Substituting x₁ = -2 into -2x₁² = k, we have

-2x₁² = k

-2(-2)² = k

2(4) = k

8 = k

So, k = 8

7 0
3 years ago
What is the measure of
Goshia [24]

60° because it's an equilateral triangle

6 0
2 years ago
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