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2 years ago

Consider the diagram. Which line segment has the same measure as ST?

Mathematics

2 answers:

valentinak56 [21]2 years ago

8 0

SR because any point on a perpendicular bisecting line is equidistant from the ends of the bisected segment.

Yanka [14]2 years ago

7 0

Answer:

$SR$

Step-by-step explanation:

In this problem we have

$RX=XT$ -----> given problem

$XS$ ---> is a common side both triangles

In the right triangle RSX

Applying the Pythagoras Theorem

$SR^{2}=RX^{2}+XS^{2}$ ------> equation A

In the right triangle XST

Applying the Pythagoras Theorem

$ST^{2}=XT^{2}+XS^{2}$ ------> equation B

remember that -----> $RX=XT$

Substitute

$ST^{2}=RX^{2}+XS^{2}$ ------> equation C

Compare equation A and equation C

$SR=ST$

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Karolina [17]

Answer:

Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

3 0

2 years ago

A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range

maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, $\hat p$ .