Solve the equation for x. a. -10 b. 1 c. 1/10 d. -1
2 answers:
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Answer:
40 comic books
Step-by-step explanation:
Let x be the Jill comic books.
Given:
Jill sold half of her comic books and then bought sixteen more. She now has 36.
Therefore the algebraic equation of the given statement.
--------(1)
Now we solve above equation for x.
Subtract by 16 both side of the equation 1.
Multiply by 2 both side of the above equation.
Therefore, Jill had 40 comic books.
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
