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1 year ago

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

Mathematics

1 answer:

Mariulka [41]1 year 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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xxTIMURxx [149]

Answer:

formal proof

Step-by-step explanation:

https://quizlet.com/230868297/geometry-u2-review-flash-cards/

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3 years ago

Write the fraction as a decimal. 1/8

Contact [7]

Answer:

.125

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

M and m A) -9 C) 0 B) 10 D) -10 A B C С D

Mademuasel [1]

Answer:

Step-by-step explanation:

∠ BSR + ∠ TSB = ∠ TSR , substitute values

2x + 17 + 5x + 15 = 102 , that is

7x + 32 = 102 ( subtract 32 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10 → B

8 0

3 years ago

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work

pantera1 [17]

The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52

The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd

You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.

Then you only can tell the missing angles, as I have shown, but not the misssing lengths.

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8 0

3 years ago