4:1/6 if you add all the instruments you get 120 then you divide it by six and you get 20 snare drums
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°
![\Large\boxed{x=50}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7Bx%3D50%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
x+ y+5/3 hope this helps
The directrix of the parabola is ![y = \frac {-49}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-49%7D%7B16%7D)
<h3>How to determine the equation of the directrix?</h3>
The parabola equation is given as:
![\frac 14(y + 3) = (x -2)^2](https://tex.z-dn.net/?f=%5Cfrac%2014%28y%20%2B%203%29%20%3D%20%28x%20-2%29%5E2)
A parabola is represented as:
![4p(y - k) =(x -h)^2](https://tex.z-dn.net/?f=4p%28y%20-%20k%29%20%3D%28x%20-h%29%5E2)
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
![y = -3 - \frac 1{16}](https://tex.z-dn.net/?f=y%20%3D%20-3%20-%20%5Cfrac%201%7B16%7D)
Take the LCM
![y = \frac {-16 * 3- 1}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-16%20%2A%203-%201%7D%7B16%7D)
Evaluate
![y = \frac {-49}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-49%7D%7B16%7D)
Hence, the directrix of the parabola is ![y = \frac {-49}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-49%7D%7B16%7D)
Read more about parabola at:
brainly.com/question/1480401
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