JK = MN because of Given
∠JLK = ∠MLN because of the vertical angle theorem
JL = LN because of definition of midpoint
ΔJLK = MLN because of SAS
∠K = ∠N because corresponding angles of congruent triangles are congruent.
Hope this helps!<span />
Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
<u>Gifts Bags --> 6/7 hours</u>
x = time together
= rate of completion
Aunt 1 =
Grandma 1 =

<u>Centerpieces --> 7/4 hours</u>
x = time together
= rate of completion
Mom =
Aunt 2 = 



<u>Balloons --> 15/16 hours</u>
x = time together
= rate of completion
You =
Grandma 2 = 



Shortest amount of time to complete all tasks is:
≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.
Answer:
-3
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Since there is an overlap, that does mean some people with brown hair do wear watches, but not all of them do. Hence it's independent.
Answer:
803.84 in^3
Step-by-step explanation:
First of all we have to find the base area
base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2
the volume can be find with this formula:
V = (base area x height)/3
V = (200.96 x 12)/3 = 803.84 in^3