here ZLS defines a line segment with end points Z and S.
so it represents line segment ZS
So option B is correct
Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer:
27+ x
Step-by-step explanation:
Answer:
11 tickets
Step-by-step explanation:
1. write an equation:
First, variable x symbolizes the number of adults who bought tickets. And variable y symbolizes the number of students.
If each adult paid $6, and each student paid $4, and the total dollars you've collected is 104, this is how we'll write our equation:
6x + 4y = 104
2. we can write another equation based on this information: "You sold 21 tickets". Which concludes that the number of tickets adults and students had paid for equals the number of tickets you've sold:
x + y = 21
3. now, we've got two equations. Let's compensate:
x + y = 21
x = 21 - y
6x + 4y = 104
6 (21 - y) + 4y = 104
126 - 6y + 4y = 104
-6y + 4y = -22
-2y = -22
y = -22 / -2
<u>y = 11</u>
So the number of student tickets is <u>11</u>.
