Answer:
The answer is 448 seconds
Step-by-step explanation:
Amount of money received when x tickets are sold=$Y
Number of tickets sold=X
Slope of line= 
And , y- intercept = 8
Equation of line having slope m and y-intercept c is given by,
y = m x + c,
Expressing the above statement in terms of linear equation in two variable i.e a line is
Y =
X + 8
Answer:
Stress sweat comes from nervous excitement. It usually hits you all at once. When something excites or scares you, your body releases stress hormones (adrenaline and cortisol).
Step-by-step explanation:
Answer: b) Large blue t-shirt & Medium RC jeans
<u>Step-by-step explanation:</u>
The subscript numbers attached to the matrix letter represents the:
ROW, COLUMN
![A=\left[\begin{array}{ccc}a_{1,1}&a_{1, 2}&a_{1, 3}\\a_{2,1}&a_{2, 2}&a_{2, 3}\\a_{3,1}&a_{3, 2}&a_{3, 3}\end{array}\right] \qquad B=\left[\begin{array}{ccc}a_{1,1}&b_{1, 2}&b_{1, 3}\\b_{2,1}&b_{2, 2}&b_{2, 3}\\b_{3,1}&b_{3, 2}&b_{3, 3}\end{array}\right]\\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B1%2C1%7D%26a_%7B1%2C%202%7D%26a_%7B1%2C%203%7D%5C%5Ca_%7B2%2C1%7D%26a_%7B2%2C%202%7D%26a_%7B2%2C%203%7D%5C%5Ca_%7B3%2C1%7D%26a_%7B3%2C%202%7D%26a_%7B3%2C%203%7D%5Cend%7Barray%7D%5Cright%5D%20%5Cqquad%20B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B1%2C1%7D%26b_%7B1%2C%202%7D%26b_%7B1%2C%203%7D%5C%5Cb_%7B2%2C1%7D%26b_%7B2%2C%202%7D%26b_%7B2%2C%203%7D%5C%5Cb_%7B3%2C1%7D%26b_%7B3%2C%202%7D%26b_%7B3%2C%203%7D%5Cend%7Barray%7D%5Cright%5D%5C%5C)
A₁,₃ = 1st row, 3rd column
1st row is Blue, 3rd column is Large
B₃,₂ = 3rd row, 2nd column
3rd row is RC jeans, 2nd column is Medium
A₁,₃ + B₃,₂ = Large blue t-shirt & Medium RC jeans
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: