Answer:55
Step-by-step explanation: Whenever you see the word "sum" it means to add. So, 5+7+9+3+1+3+9+8+5+2+3=55
A) One
If the line is intersecting and is parallel then the line will only intersect once at one point
Answer:
1. (5,-8)
2. (7, -11)
3. 7 lines
4. (2,-8)
5. x = 15
Step-by-step explanation:
1. for translation over y=x you need to switch what is negative and what is positive
2. You add whatever number is said to be added to X and whatever number is said to be added to Y.
3. A regular heptagon has 7 equal sides so it has 7 lines of symmetry.
4. For over the x-axis you make the y negative (or if it is already negative you make it positive) you do the opposite for over the y-axis
5. When you have a mid-segment you take one side, 9 and 6, and you divide 9 by 6. You get 1.5, you then take 1.5 and multiply it by 10, that leaves you with 15
I hope I helped!
Given:
Height of Isabelle = 62 inches
Shadow of Isabelle = 93 inches
Shadow of tree = 279 inches
To find:
The height of the tree.
Solution:
Let height of tree be x.
Ratio of height to shadow for Isabelle and tree are


The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.

Multiply both sides by 279.



Therefore, the height of tree is 186 inches.
Answer:

Step-by-step explanation:
Given


Required
Determine the domain
First, we need to solve for p
Substitute 70 for t in 

Collect Like Terms


Solve for p


This implies that Larry can not invite up to 6 people.
Hence, the domain can be represented as: 