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LekaFEV [45]
3 years ago
7

Please helpppppp asap (triangle inequality theorem) show the work

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Answer:

a - yes

b - no

Step-by-step explanation:

triangle inequality theorem - the sum of any 2 sides of a triangle must be greater than the measure of the third side

For a

5 + 4 must be greater than 7 for the set to be measures of the sides in a triangle

5 + 4 = 9

9 is greater than 7 therefore 4,5, and 7 can be measures of the sides in a triangle

For b

3 + 2 must be greater than 6 in order for the set to be measures of the sides in a triangle

3 + 2 = 5

5 is less than 6 therefore 2,3 and 6 can not be measures of the sides in a triangle

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Omar's gas tank is 1/10 full. After he buys 6 gallons of gas, it is 2/5 full. How many gallons can Omar's tank hold?
castortr0y [4]
1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons
4 0
3 years ago
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
Yuki888 [10]
The perimeter of a square is the sum of its sides.
 Then the perimeter is
 P = 4L
 Clearing the side we have:
 L = (P / 4)
 L = (12x + 52) / 4
 L = 3x + 13
 answer:
 The side length of the square is 3x + 13 units
8 0
3 years ago
Read 2 more answers
Plz answer quick ..........
ira [324]

Answer:

Shade the first row (the row of three) going down.

Step-by-step explanation:

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5 0
3 years ago
When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?
jarptica [38.1K]
E\alpha fg
e=mfg
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e=4, f=2 and g=8
Then;
4=m*2*8
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8 0
3 years ago
Calculate the area of the following figure correct to 2 decimal places if can show or explain work
grin007 [14]
The way we approach a question like this, is by looking at what portion of the circle we actually have to calculate the area of. We know that a circle is a shape that goes 360 degrees around a point. Therefore we know that, for example, a semicircle, or half a circle, would cover half the amount of degrees. This is important, because as well as covering half the number of degrees, it also covers half the area. For the figure in your picture, we are told that the portion missing from the circle is 90 degrees (shown by the right angle symbol in the center).
this means that 90 degrees worth of the circle is missing, so if we do 360÷90, we find that the answer equals\frac{3}{4}. This means that we are dealing with \frac{3}{4} of a circle. So, we simply find the area of the circle normally, and then multiply by <span>\frac{3}{4}:
The formula for area of a circle is </span>\pi  r^{2}, so in this case, it can be said to be \pi  (10^{2} ), which is equal to 314.15
Now we simply take that area and multiply it by the fraction we established earlier:
314.15 x \frac{3}{4} = 235.61
Therefore the area of the figure is 235.61 cm^{2}
I hope this helped and please remember to try and not only understand the answer, but the maths that worked it out too :))
3 0
4 years ago
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