Answer:∠1=55° ∠2=55° ∠3=55° ∠4=70° ∠5=55°
Step-by-step explanation:
We know that opposite angles of rhombus are congruent and the diagonals of rhombus cut the vertex angles into half. So ∠4=70° and ∠2=∠3=∠1=∠5.
Let ∠2+∠3=x
the sum of four angles of rhombus= 360°
70+70+ x +x = 360°
140+2x = 360°
2x=220°
x=110°
∠2=110°/2=55°=∠3=∠1=∠5
Answer:
The total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
Step-by-step explanation:
The total movies are given as 19 mysteries +12 documentaries=19+12=31
Now the number of total combinations such that 4 movies are rented is given as 
Now the number of total combinations with no documentary is given as
So the number of combination such that at least one movie is documentary is given as
=Total Combinations-Combinations with no documentary
=31465-3876
=27589
So the total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
Answer:
The first graph. (an upside down U)
Step-by-step explanation:
The leading coefficient of a polynomial determines the direction of the graph's end behavior.
A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.
A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.
This graph has two evens. Because its negative, only one is possible - the first graph.
The other two graphs are odd with both starting down on the left and point up on the right which is a positive leading coefficient. These are not possible graphs.
The first graph is the solution.
