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Yanka [14]
3 years ago
6

A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Mathematics
1 answer:
valkas [14]3 years ago
7 0

Answer:

8

Step-by-step explanation:

For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.

So, by the triangle inequality theorem, 1+x>8, which means x>7.

So, the smallest possible whole number length is 8.

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3 years ago
The sum of the measures of two interior angles of a triangle equals 150°. What is the measure of the third angle?
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8 0
3 years ago
Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At wha
Fiesta28 [93]

I've attached an image showing the coordinates of Ship A and Ship B.

Answer:

distressed vessel is located at (1, 1.5)

Step-by-step explanation:

From the image attached, we can see that;

Coordinate of ship A is (3, 4)

Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

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Now, if we do that, we will see that they will intersect at the point; (1, 1.5)

Thus,distressed vessel is located at (1, 1.5)

5 0
4 years ago
Please can you help me with this
AlexFokin [52]

9514 1404 393

Answer:

  85°

Step-by-step explanation:

The sum of arcs in a circle is 360°.

  FG +140° +80° +55° = 360°

  FG = 360° -275°

  FG = 85°

7 0
3 years ago
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