An acute triangle has sides measuring 10cm and 16cm. The length of the third side is unknown.

Mathematics

1 answer:

Mariulka [41]2 years ago

8 0

What best describes the range of possible values for the third side of the triangle are

If the 3rd side is less than 6, it could never reach between the ends of the 10 and the 16.
If the 3rd side is more than 26, then the 10 and the 26 could never reach its ends.

This is further explained below.

<h3>What is the range?</h3>

Generally, After removing the sample maximum and lowest, we get the range of the data set. It shares the same measurement systems as the data.

In conclusion, Choose the options that best characterize the interval across which the third side may take on a value;

When the 10 and 16 are placed end to end, the third side can never be shorter than 6.

If the sum of the 10 and the 26 is more than the third side's value, then the 10 and the 26 will never sum to the side's value.

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Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10} B = {x|x ∈ U and 2x > 10} Which statements are true? 5 ∉

-Dominant- [34]

x+2 > 10 solves to x > 8 after we subtract 2 from both sides

So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.

Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.

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Summarizing everything, we can say...

5 is not in set A. True

5 is in set B. False

6 is in set A. False

6 is not in set B. False

8 is not in set A. True

8 is in set B. True

9 is in set A. True

9 is not in set B. False

5 0

3 years ago