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olga55 [171]
3 years ago
10

Consider parallelogram WXYZ, where diagonal WY and XZ intersect at point Q. If WQ =8 and ZX = 20, which statement is true?

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

C) YQ = 8

Step-by-step explanation:

If WQ is 8 and XZ bisects this line, this means that YQ is also 8.

If this answer is correct, please make me Brainliest!

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aleksklad [387]

Answer:

y= 3x

Step-by-step explanation:

4 0
3 years ago
Which equation can be used to find n the distance between 3/8
GuDViN [60]

Answer:

3/8 - N = 61/64.

4 0
3 years ago
  Sarah Wiggum would like to make a single investment and have ​$1.7 million at the time of her retirement in 34 years. She has
vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

t = 35, I = 0.07, T = 1700000

She has to invest P today.

T = E + P

1700000 = E + P

E = 1700000 - P

So

E = P*I*t

1700000 - P = P*0.07*34

3.38P = 1700000

P = \frac{1700000}{3.38}

P = 502958.58

Sarah has to invest $502,958.58 today.

8 0
3 years ago
What function is shown by the graph below?
Airida [17]

Answer:

The function f(x)=\sqrt{x+2}  is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵  f(x)=\sqrt{x-2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2-2}

∴ f(-2)=\sqrt{-4} ⇒ it is impossible no square root for (-) number

∴ f(x)=\sqrt{x-2} is not the function shown by the graph

∵  f(x)=\sqrt{x+2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2+2}

∴ f(-2)=\sqrt{0}

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

∵ x = 2

- Substitute x by 2

∴ f(2)=\sqrt{2+2}

∴ f(2)=\sqrt{4}

∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2

∴ The function f(x)=\sqrt{x+2} is shown by the graph below

7 0
3 years ago
30 PTS!!! ANYONE GOOD AT MATH PLS HELP!
siniylev [52]

Answer:

\frac{2}{\sqrt{5} }

Step-by-step explanation:

To solve this, all we need to do is draw a triangle.  

From the arctan(2) we can deduce that tan(x)=\frac{2}{1}

From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is  \sqrt{5}

Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse

This gives us the value of \frac{2}{\sqrt{5} } which is our answer.

8 0
3 years ago
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