3(-n+4)+5n=2n a. n=3 b. no solution c. infinitely many solutions
2 answers:
Answer:
B. No Solution
Step-by-step explanation:
First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).
Next, you collect the like terms, in this case, the like terms are -3n and 5n.
Finally, you will cancel equal terms on both sides of the equation (which is the 2n).
This makes the statement false for any value of n. Meaning that your answer is B, no solution.
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Answer:
They are similar by the definition of similarity in terms of a dilation
Step-by-step explanation:
The given vertices of triangle ΔABC are;
A(1, 5), B(3, 9), and C(5, 3)
The vertices of triangle ΔDEF are;
D(-3, 3), E(-2, 5), and F(-1, 2)
Therefore, we get;
The length of segment, = √((9 - 5)² + (3 - 1)²) = 2·√5
The length of segment, = √((9 - 3)² + (3 - 5)²) = 2·√10
The length of segment, = √((5 - 3)² + (1 - 5)²) = 2·√5
The length of segment, = √((5 - 3)² + (-2 - (-3))²) = √5
The length of segment, = √((2 - 5)² + (-1 - (-2))²) = √10
The length of segment, = √((2 - 3)² + (-1 - (-3))²) = √5
∴ /
= 2·√5/(√5) = 2
/
= 2·√10/(√10) = 2
/
= 2·√5/(√5) = 2
The ratio of their corresponding sides are equal and therefore;
ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.