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 y=2x-6
Step-by-step explanation:
the diffrence in each one is two by using two as slope you get -6 as y intercept.
Answer:
0.5 m
Step-by-step explanation:
5÷20=0.25
0.25×2=0.5
Answer:
F(x)=−2x+C
Step-by-step explanation:
Answer:
The number of shirts to be purchased for price to be same is 6 .
Step-by-step explanation:
Given as :
The price for cool shirt = $ 8
The shipping charge for cool shirt = $ 13
The price for Tees = $ 7.50
The shipping charge for Tees = $ 16
Now, Let The number of shirts = S
So , According to question
∵ price to be same for both companies
∴ $ 8 × S + $ 13 = $ 7.50 × S + $ 16
Or, $ 8 × S - $ 7.50 × S = $ 16 - $ 13
Or, 0.5 S = 3
∴ S =
I.e S = 6
Hence The number of shirts to be purchased for price to be same is 6 . Answer