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3 years ago

Based on your knowledge of right triangles and the Pythagorean Theorem, which statement is correct?

Mathematics

2 answers:

snow_lady [41]3 years ago

5 0

The answer is "The empty square has a side length of 10 and an area of 100 square units"

Rudik [331]3 years ago

5 0

Answer:

The 3rd Answer: The empty square has a side length of 10 and an area of 100 square units.

Step-by-step explanation:

The pythagorean theorem states that for any right triangle ith legs a and b and a hypotenuse of c that: $a^{2} +b^{2}=c^{2}$ therefore:

In the given right triangle if we apply this and see that $6^{2}+8^{2}=10^{2}\\$ meaning that the missing side must be 10. Because of this and the fact that the area of a square is $A=s^{2}$ then A=100 and it is obvious that: The empty square has a side length of 10 and an area of 100 square units.

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Alexa pays 7/20 of a dollar for each minute she uses her pay-as-you-go phone for a call, and 2/5 of a dollar for each minute of

9966 [12]

Answer:

The system of equations is x + y = 85 and 7/20x+2/5y=31
To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
B-She used 60 minutes for calling and 25 minutes for data.

Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

7/20x + 2/5y = 31.00

We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

-7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)

-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

y = 25 . . . . . . . . simplify

Then the value of x is

x = 85 -y = 85 -25

x = 60

7 0

4 years ago

Read 2 more answers

On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.

ivolga24 [154]

Answer:

If point C represents -1, then each space is 1 unit.

So, A = -10

B = -4

D=2

E=9

Let me know if this helps!

3 0

3 years ago

If two triangles have equivalent angle measures then they are congruent

const2013 [10]

If two triangles have equivalent angle measures then they are congruent isn’t enough to prove that the two triangles are congruent. Two triangles are congruent if they have both the same three sides and also with the same three angles however, the given is only specifying in angles therefore, it can’t assure the argument that is the two triangles with the same angle is congruent.

4 0

4 years ago

A study involved measuring the average IQ of Americans. What does the Central Limit Theorem say about the study? As long as the

Alexxx [7]

Answer:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

So the correct answer is:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

5 0

3 years ago

Three friends ate dinner at a restaurant. The friends decided to add a 15% tip and then split the bill evenly. Each friend paid

Hunter-Best [27]

Well the all paid 10.35×3=31.05 with the tip. The tip is 35.05/100×15=4.6575. To know how much they paid without the tip you just 31.05-4.6575=26.39

6 0

4 years ago