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melamori03 [73]
4 years ago
6

Determine if is possible to form a triangle using the set of segments with the given measurements.

Mathematics
1 answer:
pochemuha4 years ago
3 0

Answer:

Not Possible

Step-by-step explanation:

This uses what is known as the triangle inequality.  Basically if you add two sides the sum will be greater than the third, then if you subtract two sides  it will be less than the third, keeping in mind to subtract the smaller one from the larger one.

Your sides are 7, 87 and 154

Now, I could go through each and every combination, but right away I can see 87 + 7 is less than 154, so this is not a valid triangle.  

Similarly 154-7 is greater than 87 AND 154 - 87 is greater than 7, so btoh of these also mean it is not a valid triangle.  

If you it doesn't make sense how I got to this conclusion I can explain.  

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at a certain real estate firm, realtor selling house recieve a comission:6% for the first 160,000 of the selling price, and 4% f
Natali [406]
Let the amount be x.

6% for the first 160000

= 6/100 * 160000 = 9600

4% for any amount exceeding 160000.

= 4/100 * (x -160000) = 0.04(x-160000)

The sum of both commission should be equal to 10560.

9600  +    0.04(x -160000)  = 10560

0.04(x -160000)  = 10560 - 9600

0.04(x -160000)  = 960  Divide by 0.04.

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8 0
3 years ago
The perimeter of a rectangle is 70. The length of the rectangle is represented by (x+3) and the width is represented by (3x-8).
otez555 [7]

Answer: length = 13

Width = 22

Step-by-step explanation:

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length × width)

The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that

2[(3x - 8) + (x + 3)] = 70

Dividing both sides of the equation by 2, it becomes

3x - 8 + x + 3 = 35

3x + x - 8 + 3 = 35

4x - 5 = 35

4x = 35 + 5 = 40

x = 40/4

x = 10

Length = x + 3 = 10 + 3

Length = 13

Width = 3x - 8 = 3 × 10 - 8

Width = 22

4 0
3 years ago
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