The answer is:
1- A line of symmetry will connect a vertex and a midpoint of an opposite side.
2- It has
-fold symmetry.
The explanation for this answer is shown below:
1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.
2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has
-fold symmetry.
15% more likely to be on time.
Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36
Answer:
Machine 1: 165
Machine 2: 210
Step-by-step explanation:
Machine 1: 11 bottle per minute
11 * 15 = 165 labeled bottles per minute
Machine 2: 14 bottles per minute
14*15 = 210 labeled bottles per minute
Answer:

Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:


