Answer:
x = 13, y = 7
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
x - 7 = 6 ( add 7 to both sides )
x = 13
and
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
Answer:
−20.25
Step-by-step explanation:
See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Answer:
The sum of the first 6 terms of the series is 504.
Step-by-step explanation:
Given that,
Common ratio in a geometric series is, r = 0.5
First term of the series, a = 256
We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

The sum of n terms of a GP is given by :

Here, n = 6

So, the sum of the first 6 terms of the series is 504.