Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. 
⊥ 
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and m∠SWT = 90°, therefore, the lines and are perpendicular to each other.
A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).
Answer:
is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base = 
, height of the box = x
Volume of square box = Area * height = 
Differentiating the above equation and equating it to zero, we get –
d/dx 
d/dx
= d/dx 
d/dx 
On solving above equation, we get –
Find the Mean, Median, Mode, and Range: 1. 52, 46, 63, 40, 56 2. 40, 24, 7, 37, 43, 16, 24, 25
kotykmax [81]
Mode= 24.
median = 40.
range= 62.
mean = 27.
