Answer:
Of two numbers, The largest whole number which is a factor of both.
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
by pythagorean formula, the last side is √(61)
by cos rule
cos A
A = 39.81
Answer:
x = 45.6
Explanation:
-10(x + 21) = -15x + 18
-10x - 210 = -15x + 18
-210 = -5x + 18
-228 = -5x
x = 45.6
(I’m not sure if this is what you’re looking for, but I hope it helped a bit)
Answer: -10x
Explanation: Multiply -2 by 5x