Two triangles are said to be congruent when the have the same sides and the same angles. When a figure is dilated by a value, the size of that figure changes.
Therefore, when Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle MꞌꞌNꞌꞌOꞌꞌ, the two triangles are similar but not congruent.
3,000 in.
(4 x 10) + (7.5 x 10) = 3000
The dimensions on the sketch are 10 times less than the actual rug.
40 in., 7.5 in.
The drawing lengths are ten times more, so you just multiply the dimensions by 10, and then multiply the product you find out to find the actual area of the rug.
Known facts:
- 50 dollars is the initial amount in the saving account
- 50 dollars is added every week into the savings account.
Variables:
- x: # of weeks
- y: total amount of money in savings
Set equation based on known facts and variables:
y = 50x + 50, 50x is the rate at which it grows depending on
the week and 50 is the initial amount there
Hope that helps!