Find x if:
- B is between A & C;
-AB = x + 5;
-BC = 2(x-3); and
-AB ~= BC

The value of x = 11

Step-by-step explanation:

Given

Determining the value of x

As B is between A and C, so

≅

as

so

x + 5 = 2(x-3)

x+5 = 2x-6

2x-x = 5+6

x = 11

Therefore, the value of x = 11

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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