Mathematics, 30.08.2019 07:10 Derrielle6451

The sides of abc are 30 units, 40 units, and 60 units long. the corresponding sides of axyz are times as long as the sides of -
the expression that gives the perimeter of axyz is
square units
if the area of aabc is n square units, the area of axyz is

Answers: 2

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Answer from: kmontanab00

The expression that gives the perimeter of triangle XYZ is 130*r

The expression that gives the Area of ∆XYZ is n*r^2 units^2

Step-by-step explanation:

Part A:

Perimeter of triangle ABC = 30+40+60

Perimeter of triangle ABC = 130 units

Triangle ABC = Triangle XYZ

Thus,

Scale factor = r

scale factor = Perimeter of triangle ABC/ Perimeter of triangle XYZ

Perimeter of triangle XYZ= perimeter of triangle ABC * scale factor

Perimeter of triangle XYZ = 130 * r

The expression that gives the perimeter of triangle XYZ is 130*r

Part B:

Area of triangle ABC = n units^2

As we know that scale factor = r

scale factor^2 = Perimeter of triangle ABC/ Perimeter of triangle XYZ

Perimeter of triangle XYZ = Perimeter of triangle ABC * scale factor^2

Perimeter of triangle XYZ = n*r^2 units^2

The expression that gives the Area of ∆XYZ is n*r^2 units^2

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Answer from: Quest

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation:

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