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2 years ago

CD is the perpendicular bisector of both XY and ST, and CY=20. Find SX.

Mathematics

2 answers:

Nostrana [21]2 years ago

8 0

Answer:

B.5

Step-by-step explanation:

In the figure, the measurement of $\dfrac{_}{CY}$ is 20. The measurement of $\dfrac{_}{CS}$ is 15.

In this triangle we can see that the measurement of $\dfrac{_}{CY}$ and $\dfrac{_}{CX}$ are the same.

We can then assume that $\dfrac{_}{SX}$ will be the different between $\dfrac{_}{CY}$ and $\dfrac{_}{CS}$

20 - 15 = 5

So $\dfrac{_}{SX}$ = 5.

34kurt2 years ago

6 0

<h2>Answer:</h2>

<u>SX will be equal to </u><u>5</u>

<h2>Step-by-step explanation:</h2>

As we see that CD is the bisector of XY and ST which means that XY and ST must be congruent to each other.

Since the length of CY is 20 so the length of its opposite side CX must also be 20.

If CX is 20 then CX = CS + XS so 20 = 15 + XS which comes out to be 5

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2 years ago

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

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Answer:

D. 5/3

Step-by-step explanation:

$\frac{1/6+1/2+1/3+x}{4} =2/3$

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1 year ago

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erica [24]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Which function has a greater y-intercept?

Natali5045456 [20]

Answer:

Option C, both functions have an y-intersect equal to 2.

Step-by-step explanation:

When we have a function f(x), the y-intercept is the value f(0). This is the point where the graph of the function intersects the y-axis.

Then, for f(x) = -x^2 + 5*x + 2

The y-intercept is:

f(0) = -0^2 + 5*0 + 2 = 2

f(0) = 2

And for g(x) we do not have the equation, but we have the graph, so we can just look at which value of y does the graph intersects the y-axis.

We can see that the graph intersects the graph at y = 2

Then the y-intersect is: g(0) = 2

So both functions have the same y-intersect. Then the correct option is C.

4 0

3 years ago

The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

Kobotan [32]

Answer:

% change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

$T = 2.5 x + 0.5 x^{2}$

We will approximate this distance using the relation

$f (x + dx) = f (x)+ f' (x)dx$

dx = 26 - 25 = 1

T' = 2.5 + x

Therefore

$f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x$

This is the stopping distance at x = 25

Put x = 25 in above equation

2.5 × (25) + 0.5× $25^{2}$ + 2.5 + 25 = 402.5 ft

Stopping distance at x = 25

T(25) = 2.5 × (25) + 0.5 × $25^{2}$

T(25) = 375 ft

Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft

% change in stopping distance = $\frac{27.5}{375}$ × 100

% change in stopping distance = 7.34 %

6 0

3 years ago