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Mashcka [7]
3 years ago
6

Triangle ABC is dilated by a scale factor of 1.5 to form Triangle DEF. Are Triangles ABC and DEF congruent? Why or why not?

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

Yes, they will be.

Step-by-step explanation:

Congruent means when they are the same shape and same size.

If triangle ABC is dilated to <u><em>form</em></u> triangle DEF, that means that they will have the same shape and the same size.

So yes Triangles ABC and DEF will be congruent to one another because they will be the same shape, and they will have the same size as well.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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Answer:

See attached image for the drawing of the first four trees (circled in green)

The patterns is:

x = 2+3n  and  y= 3+2n

Position of 7th tree is: (20,15) (circled in orange in the image)

Step-by-step explanation:

Starting at the location (2,3) the next x and y positions are given by:

x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,

and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration

being n= 1 through 6 (to account for the next 6 trees that need to be planted)

With such pattern, the location of the seventh tree would be:

x = 2 + 3*6 =2 + 18 = 20

y = 3 + 2*6 = 3 + 12 = 15

That is, the point (20,15) on the plane.

Also see attached image.

8 0
3 years ago
The ratio if the base edges of two similar pyramids is 3:4 the volume of the larger pyramid is 320 in^3. What is the volume of t
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What is the simplest way to explain scale drawings for middle school math?
Allushta [10]

Answer:

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Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2
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Answer:

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}.

Step-by-step explanation:

Using first order linear differential equation:

\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2

\frac{\mathrm{d} y}{\mathrm{d} t} - 2y =t^2

finding integrating factor:

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now,

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hence the solution is

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