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
0.5 is the first way
1/2 is the second way
50% is the third way.
Hope that helps bud :).
First, we must express the ratio of rent to Joel's total earning. 375 out of 1500 in its simplest form is 1/4. To express a value in percentage, we must multiply it to 100. Thus, for this case, we have
1/4 x 100 = 25%
That means, out of a total of 100%, Joel spends 25%<span>of his income on rent.</span>
The expression 8(-3) represents the recession of the coastline after 8 years if the coastline recedes 3 centimeters each year. 8(-3)=-24. So, the coastline's new position is 24 centimeters farther inland than it was 8 years ago.
answer= 24