Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
(n-21)/2=4n is the equation
First, divide what is in the parentheses by 2
0.5n-10.5=4n
Then, multiply the whole equation by 2 so we have all whole numbers
n-21=8n
Move N so that it is with 8n
7n=-21
Divide 21 by 7
n=-3
Solution: The number (n) is equal to -3
Answer: 15x^2+6xy
Step-by-step explanation: 3x(6y−4y+5x)
(3x)(6y+−4y+5x)
(3x)(6y)+(3x)(−4y)+(3x)(5x)
18xy−12xy+15x^2
15x^2+6xy
The given equation has a slope of
. Parallel lines have the same slope.
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is slope
y - y₁ = m(x - x₁)
y - (-4) =
(x - 2)
y + 4 =
x + 
<u> - 4</u> <u> -
</u>
y =
x - <u>
</u>
first and second part put 0.75, then multiply 0.75 by 2 to get 1.50, then write in the third part 1 and 1/2
hope this helps