Rectangle ABCD is dilated by a scale factor of 3 with the origin as the center of dilation to create rectangle A'B'C'D'. Which statement about the perimeters of
rectangle ABCD and rectangle A'B'C'D' is true?
А
The perimeter of rectangle ABCD is 3 units more than the perimeter of
rectangle A'B'C'D'.
B
The perimeter of rectangle ABCD is 3 times the perimeter of rectangle
A'B'C'D'.
с
The perimeter of rectangle A'B'C'D' is 3 units more than the perimeter of
rectangle ABCD.
D
The perimeter of rectangle A'B'C'D' is 3 times the perimeter of rectangle
ABCD.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough