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andrew-mc [135]
3 years ago
13

The dashed-line triangle is a dilation image of the solid-lined triangle.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0
Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\  \frac{AC}{A'C'}= \frac{12}{4}=3

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer:   reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

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Answer:

a) (11/7, 9/7)

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Step-by-step explanation:

a) x - 2y + 1 = 0

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To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

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We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

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