Mark and david agree to purchase a beach house in south carolina at a cost of $378,000 which just had a price reduction of 10%. what was the original price of the house? how much did they save from the 10% reduction on the house?

a) Original price= $420000

b) Saving= $ 42000.

Step-by-step explanation:

Given: Purchase price of beach house= $378000

           Price reduction= 10%

Let the original price be `x`

Now, computing to find the value of original price.

Purchase price=

⇒

⇒

⇒

Cross multiplying both side

∴ x=

∴ Original price= $420000.

Saving= Original price - Purchase price

Saving=

∴ Saving made by Mark and David is $42000.

29.5977692753

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .