The ratio of the sales tax to the amount of a purchase is a fixed number in Town . The table shows the sales tax for a purchase of . Part A What is the sales tax for a purchase of ​ A $18.06\$ 18.06$18.06 B $34.72\$ 34.72$34.72 C $144.00\$ 144.00$144.00 D $150.00\$ 150.00$150.00 (b) ​ Part B What is the cost of an item with a sales tax of ? A $432\$ 432$432 B $648\$ 648$648 C $1,092\$ 1,092$1,092 D $1,800\$ 1,800$1,800 ​

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

step-by-step explanation:

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .