Answer:
180 Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
Answer:
(1,3) is a solution.
Step-by-step explanation:
You have to be a bit more specific than that
Answer:
Large books = 11
Small books = 6
Step-by-step explanation:
7x + 5y = 107
7x = 107 - 5y
x = 107/7 - 5y/7
5x + 7y = 97
5 (107/7 - 5y/7) + 7y = 97
535/7 - 25y/7 + 7y = 97
535/7 + 24y/7 = 97
535 + 24y = 679
24y = 679 - 535
y = 144/24 = 6: So x =
7x + 5(6) = 107
7x = 107-30
x = 77-7 = 11
Answer:
See attached picture
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The equation for g has been subtracted inside the parenthesis by 2 which will shift the graph 2 units to the right.
The equation for g has also been subtracted outside the parenthesis by 3 which will shift the graph 3 units down.
The graph is shown in black while f(x) is show in purple in the attached picture.