Select the correct answer. A parallelogram has coordinates A(1, 1), B(5, 4), C7, 1), and D(3,-2). What are the coordinates of parallelogram A'B'C'D'after a 180° rotation
about the origin and a translation 5 units to the right and 1 unit down?
ОА A(-4,-2), BIO,-5), C12,-2), DI-2, 1)
B A14,-2), BIO, -5), C(-2,-2), D12, 1)
OCA[4,2), B(0,5), C[-2, 2), D12, -1)
OD. AL-4, 2), BIO, 5), C12, 2), D1-2, -1)
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ne hord

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240