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dimaraw [331]
2 years ago
12

Identify the shape and solve for X (will give Brainliest) PLEASE HELP

Mathematics
2 answers:
Paladinen [302]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

the figure has 4 congruent sides and 4 right angles and is therefore a square, then

8x - 15 = 3x + 11 ( subtract 3x from both sides )

5x - 15 = 11 ( add 15 to both sides )

5x = 26 ( divide both sides by 5 )

x = 5.2

Alekssandra [29.7K]2 years ago
4 0

Answer:

It's a square

x = 26/5

Step-by-step explanation:

Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.

Because the sides are equal, you would set up the equation by making the two expressions equal to each other:

3x + 11 = 8x - 15

The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.

3x + 11 = 8x - 15

-3x -3x

0 + 11 = 5x - 15

Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.

11 = 5x - 15

+15 +15

26 = 5x

Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.

x = 26/5

Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]

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bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

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Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

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Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

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3 years ago
A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

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\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

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3 years ago
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