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3 years ago

R,S, and T are collinear, and S is betrween R and T. If RS=x+1, ST=2x-2, and RT=5x-5, find RT.

2 answers:

5 0

If you put and label the three points in a line, you will see that RS + ST = RT.

Then you only need to substitue with the expressions given for RS and ST to find RT.

RT = x +1 + 2x - 2 = 3x - 1

Also, RT = 5x - 5

Then, 3x - 1 = 5x - 5

5x - 3x = 5 - 1

2x = 4

x = 4/2 = 2

NOw substitute x in any of the expressions for RT:

RT = 5x - 5 = 5(2) - 5 = 10 - 5 = 5

Answer: RT = 5

Snezhnost [94]3 years ago

4 0

Answer:

correct answer is RT=5x-5

Step-by-step explanation:

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ABC has coordinates of A(-8,-8) B(4,-2) C(2,2). Find the coordinates of its image after the dilation centered at the origin with

garri49 [273]

Answer:

A' ( -12 , -12 )

B' ( 6 , -3 )

C' ( 3 , 3 )

Step-by-step explanation:

To find the coordinates of a point after a dilation simply multiply the x and y values of the points by the scale factor

Points: A(-8,-8) B(4,-2) C(2,2)

Scale factor: 1.5

Coordinates after the dilation

A' = (-8,-8) --------> (-8 * 1.5 , -8 * 1.5 ) ------------> (-12 , -12)

B' = (4,-2) ---------> (4 * 1.5 , -2 * 1.5) -----------> (6 , -3 )

C' = (2 , 2) ----------> (2 * 1.5 , 2 * 1.5) -----------> (3, 3)

So inclusion the coordinates of ABC after a dilation centered at the origin with a scale factor of 1.5 are A' ( -12 , -12 ) B' ( 6 , -3 ) C' ( 3 , 3 )

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