To solve this problem you must apply the proccedure shown below:
1- You have the following information given in the problem above:
- <span>The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width.
- The length is 25 meters and the diagonal is 45 meters.
2- Therefore, you have:
x: diagonal of the rectangle.
x^2=l^2+w^2
3- You have:
w^2+l^2-x^2=0
w^2+(25)^2-(45)^2=0
w^2-1400=0
w=37.41
The answer is: </span>w^2-1400=0
Answer: I can help :)
Step-by-step explanation:
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