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3 years ago

Right triangle similarity: Solve for x and y

Mathematics

1 answer:

OleMash [197]3 years ago

7 0

Answer:

x=4 $\sqrt{5}$ ,y=8 $\sqrt{5}$

Step-by-step explanation:

sin∠SRT = sin∠TSV,

SO $\frac{x}{20} =\frac{4}{x}$ , $x^{2}$ =80,x= $\sqrt{80} =4\sqrt{5}$ ;

In the same way:

sin∠RSV = sin∠RTS,

SO $\frac{16}{y} =\frac{y}{20}$ ， $y^{2}$ =320,y=8 $\sqrt{5}$

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Basile [38]

Answer:

NO SOLUTION

Step-by-step explanation:

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2 years ago

The circle below is center Ed at O. Decide which length,if any, is definitely the same as the length. a) AD. b) BC. Justify your

Mars2501 [29]

Answer:

Point O is the center of the circle.

Part (a)

$\overline{A\:\!F}$ is a chord.

$\overline{OD}$ is a segment of the radius and is perpendicular to $\overline{A\:\!F}$

If a radius is perpendicular to a chord, it bisects the chord (divides the chord into two equal parts).

Therefore, $\overline{AD}=\overline{DF}$

Part (b)

If $\overline{BE}$ was extended past point E to touch the circumference it would be a chord.

As $\overline{OC}$ is perpendicular to $\overline{BE}$ , it would bisect the chord, but as $\overline{BE}$ is only a portion of a chord, $\overline{OC}$ does not bisect $\overline{BE}$ .

Therefore, there is no length equal to $\overline{BC}$ .

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2 years ago

Which of the following points lies on the line perpendicular to

sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

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3 years ago

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Answer:

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Step-by-step explanation:

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Its y value is halfway between the two y values

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Add both "x" coordinates, divide by 2

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