Answer:
x = 54, so the vertical angles are 110°.
Step-by-step explanation:





I think that they will meet in 3 hours and 11 min but I’m not too sure
Okay, to find length CE, your going to know the value of <em>x</em>. Length BC + CE = BD + DE.
3x+47+x+26=27+x+10
Simplify the equation to get
4x+73=37+x
you can choose one of four ways to continue, but I will choose to subtract x
3x+73=37
Subtract 73 from both sides of the equal sign
3x=-36
divide by 3 on both sides of the equal sign to get the value of x
x=-12
Now, plug in -12 for x in length CE to get -12+26=14
So first we assume that half is adult and have is student.
So
215 adult 215 student
Now since it said they were 70 less student tickets than adult tickets we subtract 70.
215 - 70 = 145
Now we add the 70 we subtracted from student tickets to the adult tickets.
215 + 70 = 285
So there were
285 adult tickets sold and 145 student tickets sold
I hope this helped. Have a great day!
Answer:
B) (3, –2)
Explanation:
The inequality is y ≤ –x + 1
There are two ways to do this. You can try the four options by seeing where they lie on the graph, or by inputting them into the inequality and seeing if they check out. I am going to do a bit of both.
I know that the solution cannot have two positive coordinates because the first quadrant is not part of the solution, so I won't guess A or C.
I'll try (3, –2) (which is option B).
On the graph, (3, –2) is on the line, which means it is part of the solution because the line is solid and the inequality is a greater than or equal to sign.
Try it in the inequality:
y ≤ –x + 1
–2 ≤ –3 + 1
–2 ≤ –2 yes this checks out.