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1 answer:
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Answer:
Step-by-step explanation:
<u>Item 1:</u>
Discount = Original price - discount price
= 22.50 - 13.50
= $ 9
Discount percentage =
= 40%
Discount percentage = 40%
Tax = 14.31 - 13.50 = $0.81
Tax% = = 6%
Tax percentage = 6%
<u>Item 2:</u>
Tax = 6% of 16.20
= 0.06 * 16.20
= 0.972
Tax = $ 0.97
Total price (including tax )= 16.20 + 0.97 = $ 17.17
x = $ 17.17
<u>Item 3:</u>
Discount = 40% of 32.50
= 0.4 * 32.50
= $ 13
y = 32.50 -13
y = $ 19. 50
Tax = 6% of 19.50
= 0.06 * 19.50
= 1.17
z = 1.17 + 19.50
Z =$ 20.67
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:
Step-by-step explanation:
let they travel the distance between them alone
d = common distance traveled by both motorcycle and car = 540 miles
= time taken by motorcycle to travel distance between them
= speed of the motorcycle = 48 mph
time taken by motorcycle to travel distance between them is given as
= d/
=540/48
= 11.25 h
= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h
= speed of the motorcycle
speed of motorcycle is given as
= d/
= 540/9
= 60 mph
when the car and motorcycle move towards each other, the relative speed is given as
v = +
v = 60 + 48
v = 108 mph
t = time taken to meet
Time taken to meet is given as
t = d/v
t = 540/108
t = 5 h
All but the first simplify to something rational.