<h2>
Answer:</h2>
LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution
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Step-by-step explanation:</h2>
From this problem, we know that:
LR = 12
PR = 4
So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:
LP + PR = LR
By substituting LR = 12 and PR = 4, we have:
LP + 4 = 12
Subtracting 4 from both sides:
LP + 4 - 4 = 12 - 4
LP + 0 = 8
Finally:
LP = 8
Answer:
11
Step-by-step explanation:
Answer:
You are trying to find the x-value when the y-value is 2. On the graph, the x-value is -3 when the y-value is 2. So, the x-value when f(x)=2 is -3.
:)
The dimensions of the image are twice the dimensions of the preimage,
which indicates that the transformation is a dilation.
- The transformation <em>T</em> is; <u>a dilation transformation with a scale factor of 2, D₂</u>
Reasons:
The transformation applied to ΔABC = T
The image of ΔABC following the transformation, T = ΔA'B'C'
The perimeter of ΔA'B'C' = Twice the perimeter of ΔABC
Therefore, we have;
A'B' + B'C' + A'C' = 2 × (AB + BC + AC)
Which gives
A'B' + B'C' + A'C' = 2·AB + 2·BC + 2·AC
By similar triangles, we have the ratio of corresponding sides as follows;

Which gives;

A'B' = 2·AB
Therefore;
- Triangle ΔA'B'C' is twice the dimension of triangle ΔABC, and <em>T</em> is <u>a dilation transformation with a scale factor of 2, D₂</u>
Learn more about dilation transformation here:
brainly.com/question/2458912
Step-by-step explanation:
I hope this is correct.