Answer:

Step-by-step explanation:
Hello There!
The first thing we want to do is find the proportional relationship between to two triangles
The smaller triangles longest side is 18
Given the longest side of the similar triangle we can divide the longest side of the preimage by the longest side of the similar triangle
So the proportional relationship would be
36/18 or 2
Our next step is to find the the sides of the similar triangle
To do so we multiply the sides of the preimage by 2 (because 2 is the proportional relationship between the two triangles)
12x2=24
8x2=16
and we already know that the longest side measures 36
Now we can find the perimeter by adding all of the side lengths
36+24+16 = 76
So we can conclude that the perimeter of the dilated image is 76
Answer: g(-3) is 9 .
Step-by-step explanation:
So there are two functions and the first function says that to get the solution x has to be greater than 4 and -3 which is the input is not greater than 4 so you can't use that function to solve for g(-3).
using the second function , it says that x has to be less or equal to 4. And -3 is indeed less than 4 so you have to use the second function to solve for g(-3)
g(x) = -2x + 3 Input -3 and solve
g(-3) = -2(-3) + 3
g(-3) = 6 + 3
g(-3) = 9
Answer:infinite
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x−54=6(x−9)
6x+−54=(6)(x)+(6)(−9)(Distribute)
6x+−54=6x+−54
6x−54=6x−54
Step 2: Subtract 6x from both sides.
6x−54−6x=6x−54−6x
−54=−54
Step 3: Add 54 to both sides.
−54+54=−54+54
0=0
Answer: Reduction
(0,0)
1/3
Step-by-step explanation: