Answer:
Here's how to do it.
Step-by-step explanation:
The two triangles must be similar, that is, corresponding angles must be equal, as in the diagram below.
1. Find a corresponding pair of sides
Assume that ∆ABC is the original and ∆DEF is its scaled image.
Then, AB and DE are corresponding sides, with lengths of 8 and 12 units , respectively.
2. Set up a ratio
Ratio = side length in image/side length in original = 12/8
3. Simplify the ratio
The simplified ratio is the scale factor (SF).
SF = 12/8 = 3/2 = 1.5
The scale factor is 1.5.
Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
I'll do something similar to this, and I challenge you to do this on your own!
<something>-7=-34
Making that something equal to x, we have x-7=-34. Adding 7 to both sides using the addition property of equality (and to separate the x), we have
-34+7=x=-27
Good luck, and feel free to ask with any further questions!
Answer:
Son in law
Step-by-step explanation:
