Answer:
x=7
Step-by-step explanation:
The two triangles are congruent so the equation is
9x-15=7x-1
9x-7x=15-1
2x=14
x=7
Answer:
Left skewed
Step-by-step explanation:
Looking at the box and whisker plot attached showing the wait times and the number of times they occur, we can see that as we approach the left, the number of times the wait time occurs increases. The box plot also shows like as if the box was pushed to the right as the center line is closer to the right than left.
Thus, we can say it's left skewed.
Answer:
x = 36°
Step-by-step explanation:
The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:
5 * 2x = 360
10x = 360
x = 36°
The order in which gifts are received doesn't matter - if child X gets toy 1 then toy 2, it's the same as giving child X toy 2 then toy 1 - so we are counting combinations.
The eldest child receives 3 of the 7 gifts, so they have

possible choices of gifts.
The next child receives 2 of the remaining 4 gifts, so they have

choices.
The last child receives the remaining 2 gifts, and there is only

way to select the gifts for them.
By the multiplication using, the total number of ways of distributing 7 gifts among 3 children in the prescribed way is 35 • 6 • 1 = 210.
Answer:
SEE THE IMAGE ABOVE FOR ANSWER.