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sweet-ann [11.9K]
3 years ago
12

Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths. 4 m, 8 m, 9 m *

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c;   a + c > b;   b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

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Are these two expressions equivalent?<br> 5(3+2) and 5.3 + 5.2
vovangra [49]

Answer:

No

Step-by-step explanation:

5(3+2) = 5(5) = 25

5.3 + 5.2 = 10.5

25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2

5 0
3 years ago
A line that includes the points (- 3, - 10) and (- 4,v) has a slope of - 4. What is the value of v?
tekilochka [14]

Answer:

The value of v with given slop and points is - 6

Step-by-step explanation:

Given as :

Let x and y be the points of a line

So, x = ( - 3 , - 10 )    And  y = ( - 4 , v )

The given slop of line XY is - 4

Now, from slop equation :

Slop = \frac{(y2 - y1)}{(x2 - x1)}

Or, - 4 = \frac{(v + 10)}{(- 4 + 3)}

Or, - 4 =  \frac{(v + 10)}{(- 1)}

Or, v + 10 = ( -4 ) × (- 1 )

Or, v + 10 = 4

∴    v = 4 - 10 = - 6

Hence The value of v with given slop and points is - 6      Answer  

4 0
3 years ago
Segment LM is the mid-segment of trapezoid a b c d. Ab = 38 and cd = 78. what is lm?
Minchanka [31]

Answer:

58

Step-by-step explanation:

The midsegment has a length that is the average of the lengths of the parallel sides it is halfway between.

... LM = (38 +78)/2 = 116/2 = 58

8 0
3 years ago
Solve for x.<br> 78.2 +0.5x = 287
Rzqust [24]

Answer:

Step-by-step explanation:

0.5x=208.8

x=417.6

3 0
3 years ago
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Alina [70]
15 minus 7 = 8 . 8 + 3 = 11. The answer is 11
6 0
3 years ago
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