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3 years ago

Similar triangles assignment

Mathematics

2 answers:

mestny [16]3 years ago

6 0

Answer:

Not similar

Step-by-step explanation:

cluponka [151]3 years ago

4 0

Answer:

D. Not Similar

Step-by-step explanation:

It's not A because AA doesn't prove congruence.

It's not B because SSS is not on the diagram, unless it's given that three sides are congruent to each other.

It's not C because there's not any sides that are congruent to one another unless it is given.

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What is the result of subtracting the second equation from the first?

dusya [7]

Answer: $11x-8y=-9$

Step-by-step explanation:

For this exercise you need to remember:

1) The mulitplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

2) By definition, like terms contain the same variables with the same exponent.

Then knowing this, and given the equations:

$8x - 4y = -4$ and $-3x+ 4y = 5$

You must subtract the like terms, which means that you must subtract the numerical coefficients of each term.

Then, you get the result is:

$8x - 4y = -4\\-3x+ 4y = 5\\...............................................\\8x-(-3x)-4y-4y=-4-5\\8x+3x-8y=-9\\11x-8y=-9$

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3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

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3 years ago

There is a total of 80 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North

andreev551 [17]

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2 years ago

Which is a true statement? A. -15 > -5 B. -4 > 0 C. -12 < -3 D. 2 < -5

Svet_ta [14]

The true statement is C -12 < -3

6 0

3 years ago

Read 2 more answers

6, 9, 12, 15 which pair of numbers has an odd product and an even sum?

amid [387]

The only way for two integers to have an odd product is each integer is odd.
For example, 1*3=3 (odd), 1 and 3 are both odd.
Or,
5*11=55, all of 5,11,55 are odd.
The sum of two odd integers is always even, so the condition of even sum is automatically satisfied when the product is odd.
Out of the four integers, there are only two odd numbers, so choose the pair to be these two odd numbers and you'd get the right answer.

8 0

3 years ago