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
if you want to come bird 5 pints to 3 quarts it's 2.5 quarts
For this case we have a direct variation of the form:

Where,
- <em>k: proportionality constant
</em>
We must find the value of k.
For this, we use the following data:

Therefore, replacing values we have:

Rewriting:

Clearing the value of k we have:

Therefore, the direct variation equation is given by:

Answer:
The quadratic variation equation for the relatonship is:

11 Meters because squares have 4 even sides. So you divide 44 by 4 and you get 11. This means every side is 11 meters long.