Answer:
Slope is -2
Step-by-step explanation:
(y2-y1) / (x2-x1)
(6-10) / (-10+12) = (-4)/(2) = <u>-2</u>
Answer: A. 7x(2x + 5)
Step-by-step explanation:
7x * 2x = 14x^2
7x * 5 = 35x
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
Okay, so this is just like division. What you have to do is figure out, "If there are 36 flowers, how many vases should their be?" Study the 36 for a minute and think of a number that can be multiplied by the same number that would equal 36. (hint: it's between 2 and 7) Good luck!