Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.

By substituting the measures of the given sides,

2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
Answer:
x + (4/ x-2) + (2/ x-1)
Step-by-step explanation:
x + (6x/ x^2 + 2x - x -2)
x + (6x/ (x + 2) X (x - 1))
(6x/ (x + 2) X (x - 1))
(A/ x+2) + (B/ x-1)
(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)
6x = Ax + Bx - A + 2B
6x = (A+B)x + (-A+2b)
{0 = -A+2B
{6 = A+B
(A,B) = (4, 2)
(4/ x+2) + (2/ x-1)
x + (4/ x-2) + (2/ x-1)
Answer:
The number is 9.5
Step-by-step explanation:
Look at the picture above, it explains everything
Answer:
To find the mean: Multiply midpoints by frequencies, add the subtotals and divide by the total of the frequencies.
Step-by-step explanation:
Put the results in numerical order (in a frequency table this will already be done)
Count the total amount of results and add one.
Divide this by 2 to find the the position of the middle result.
Find the middle result in the numerically ordered list or frequency table.
Answer:
h = 5 and k = -8.
Step-by-step explanation:
The parent equation is f(x) = x², which is the equation of a parabola having the vertex at point (0,0).
The original equation is given by g(x) = (x - 5)² + k, ⇒ y = (x - 5)² + k
⇒ y - k = (x - 5)²
So, the vertex of the original equation is at (5, k) which is given to be (5, -8)
Therefore, h = 5 and k = -8. (Answer)