Answer:
The cost per ticket is<u> constant</u>.
Step-by-step explanation:
Given:
It costs $20 for 4 play tickets and $35 for 7 play tickets.
Now, to get whether cost per ticket is constant or not.
So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.
Now, we check it:
4 play tickets costs = $20.
1 play tickets costs = $20 ÷ 4 = $5.
So, 7 play tickets costs = $5 × 7 = $35.
Thus, the cost of ticket for play is not changing and it is constant.
So the cost per ticket is constant.
Therefore, the cost per ticket is constant.
Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°

Hope this helps!! :)
Please let me know if you have any questions
Ok first we can split it in two :

and

.
The derivative of

is 3.
For the first part, we use the chain rule :
![[f(g(x))]'=g'(x)f'(g(x))](https://tex.z-dn.net/?f=%5Bf%28g%28x%29%29%5D%27%3Dg%27%28x%29f%27%28g%28x%29%29)
hence

(since the derivative of the exponential is itself) hence
Answer:
•construction of buildings
•Interior designs
•Art
•Measuring of orbits and planetary •motions Interior designs
Answer:
Step-by-step explanation: I’m too lazy to do it but just substitute the values into the formula of a Rectangular prism Surface Area