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19. Brian bought a new jacket at a discount of 30%. If the original price was $65, how
much did Brian pay for the jacket?

Brain paid $ 45.5 for the jacket.

Step-by-step explanation:

Given: Original price of jacket = $ 65

Discount -= 30%

Price after discount = Original price - 30% of Original price

= 65 - 30% of 65

= 65 - (0.3) x 65    [30% = 0.3]

= (65)   (1-0.3 )             [Taking 65 common]

= (65)(0.7)

= $ 45.5

Hence, Brain paid $ 45.5 for the jacket.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet