Answer:
1. 9
2. -3
Step-by-step explanation:
Answer:
the answer for A is 27 and B is 36 and C is 82
No The people in a football game would not be a random sample from the school
Answer:
The origination fee on a mortgage of $400,000 is $7,000.
Step-by-step explanation:
Here, the mortgage value = $400,000
The origination fee = 1.75%
Now, the origination fee is calculated on the amount mortgaged.
⇒ 1.75 % of ($400,00) = Origination Fee
Now, 1.75 % of ($400,00) = 
or, 1.75 % of ($400,00) = $ 7,000
Hence, the origination fee on a mortgage of $400,000 is $7,000.
Following transformations on Triangle ABC will result in the Triangle A'B'C'
a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units
In Triangle ABC, the coordinates of the vertices are:
A (1,9)
B (3, 12)
C (4, 4)
In Triangle A'B'C, the coordinates of the vertices are:
A' (3, -3)
B' (5, -6)
C' (6, 2)
First consider point A of Triangle ABC.
Coordinate of A are (1, 9). If we reflect it across x-axis the coordinate of new point will be (1, -9). Moving it 2 units to right will result in the point (3, -9). Moving it 6 units up will result in the point (3,-3) which are the coordinates of point A'.
Coordinates of B are (3,12). Reflecting it across x-axis, we get the new point (3, -12). Moving 2 units towards right, the point is translated to (5, -12). Moving 6 units up we get the point (5, -6), which are the coordinate of B'.
The same way C is translated to C'.
Thus the set of transformations applied on ABC to get A'B'C' are:
a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units
