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2 years ago

Which postulate proves that the triangles below are similar?

Mathematics

1 answer:

zaharov [31]2 years ago

6 0

Answer:

Option (4)

Step-by-step explanation:

From the picture attached,

Side lengths of the triangles have been given in the picture attached.

If these triangles are similar, their corresponding sides will be proportional.

By this property of similarity,

$\frac{19.5}{5}= \frac{20}{8}$

3.9 = 2.5

Which is not true.

Therefore, these triangles are not similar.

Option (4) will be the answer.

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2 years ago

Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.)

alexdok [17]

Answer:

Step-by-step explanation:

Using the compound interest formula to calculate the amount compounded after 10years.

$A = P(1+r)^{nt}$

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t = time (in years) = 10years

n = 1year = time used in compounding

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2 years ago

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Furkat [3]

Answer:

3.1782437e+42

Step-by-step explanation:

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2 years ago

Read 2 more answers

Distinguish whether the ordered pair (16, -3) is a solution to:

sammy [17]

I believe you should try to plug in the ordered pair to see if the solutions work.

The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.

Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.

Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.

(16,-3) is a solution to both equations.

Hope this helps!

5 0

2 years ago

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Pachacha [2.7K]

Answer:

p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is $p(x)=3x^5+2x^2 - 5$

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x + 5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

$p(x)=3x^5+2x^2 - 5 \implies p(\frac{-5}{3}) = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9}) - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9}) - 5\\= -38.580 + 5.56 - 5 = -38.02\\\implies p(\frac{-5}{3}) = -38.02$

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)

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2 years ago