Answer:
Step-by-step explanation:
hello : here is an solution
Answer:
Question 1:
The angles are presented here using Autocad desktop application
The two column proof is given as follows;
Statement Reason
S1. Line m is parallel to line n R1. Given
S2. ∠1 ≅ ∠2 R2. Vertically opposite angles
S3. m∠1 ≅ m∠2 R3. Definition of congruency
S4. ∠2 and ∠3 form a linear pear R4. Definition of a linear pair
S5. ∠2 is supplementary to ∠3 R5. Linear pair angles are supplementary
S6. m∠2 + m∠3 = 180° Definition of supplementary angles
S7. m∠1 + m∠3 = 180° Substitution Property of Equality
S8. ∠1 is supplementary to ∠3 Definition of supplementary angles
Question 2:
(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal
(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal
(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal
(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular
(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal
Step-by-step explanation:
Answer:
C. 16
Step-by-step explanation:
The distance between two points on the number line is the absolute value of the difference of their coordinates.
If the coordinates of two points on the number line are a and b, then the distance between the two points is
d = |a - b|
The coordinates here are -9 and 7.
distance = |-9 - 7| = |-16| = 16
Answer:
6) Option 4
7) Option 4
8) Option 1
Step-by-step explanation:
1.31×(10^-5) = 1.131/10⁵
= 1.132/100000
= 0.00001132 (option 4)
7) 3.76×10⁴ + 5.5×10²
10²(3.76×10² + 5.5)
10²(376 + 5.5)
10²(381.5)
10²(3.815×10²)
3.815×10⁴ (option 4)
8) (4×10³)(5×10⁷)
4×10³×5×10⁷
4×5×10³×10⁷
(4×5)(10^(3+7)
(4.5)×(10^(3+7)) (option 1)
That . represents multiplication
Further simplified below:
20×10¹⁰
2.0×10¹¹
• is eg. 5 is 10/2
• same as eg. 5 is the same as 10/2
• equivelant to eg. 5 is equivelant to 10/2