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Romashka-Z-Leto [24]
2 years ago
9

Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral t

riangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S​
Mathematics
1 answer:
solniwko [45]2 years ago
6 0

Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

<em>Additional comment</em>

It is impossible to specify an equilateral triangle using rational coordinates.

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PLEASE HELP ASAP
leva [86]

Answer:

1. 68/89

2. 46/267

Step-by-step explanation:

1. The total number of people in drama or athletics can be found by adding up all categories where a person fits at least one of the criteria:

51+11+12+15+108+7=204

Now we need to add up the total number of people in all categories:

51+11+12+15+108+7+63=267

Finally, we divide the total number of people in either drama or athletics by the total number of people in all categories:

204/267 = 68/89

2. The total number of people in athletics and drama can be found by adding up all categories where a person fits both criteria:

15+12=27

The total number of people in music and athletics can be found by adding up all categories where a person fits both criteria:

7+12=19

Now, we add both of these numbers together and put it all over the total number of people:

27+19=46

46/267

7 0
3 years ago
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of
drek231 [11]
So basically, what this question is asking you for is the surface area of the entire cone.
To find it, we can use the formula:
SA = 3.14*r*l+3.14*r^2, where r is radius and l is lateral height
Now, all we have to do is plug all of the given values into the equation

Therefore, the equation we get is:
SA = 3.14*1.5*5 + 3.14*1.5^2
If we simplify, we find that the surface area is equal to 30.615
If we round this number to the nearest whole number, we get 31 square inches

Therefore the answer is 31

Hope this helped!! :D
4 0
3 years ago
Read 2 more answers
Lydia feeds her dog everyday from the same bag of dog food. She opened a new bag that contains 52 cups of food. if her dog eats
mariarad [96]

Answer:

15

Step-by-step explanation:

52 divided by 3 1/3 is 15 1/3, so it would last for 15 days

7 0
3 years ago
Find the volume of the figure
Lina20 [59]

Answer:

121.36

Step-by-step explanation:

L times W times H

8 0
2 years ago
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Help. Please. Thanks.
Musya8 [376]
950 * .05 = $47.5
550 * .04 = $22

$47.5 + $22 = $69.50 interest earned

answer: amount in 4% account = $550
6 0
3 years ago
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