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
Answer:
False
Step-by-step explanation:
In this question, you roll 3 from the standard die and then add it with the next roll to see if the sums are greater than 4.
From this explanation you can see that you use the result from your first roll for the second event, so we can conclude that the event is dependent.
Imagine if we change the result of the first roll into 5, without adding the second roll we can know that the sum will be greater than 4. The first event result will influence the second event, so it is a dependent event.
Answer:
even?
Step-by-step explanation:
I dont really get it
First divide 3.7 by 0.006
Which is 616.666
The last 6 is the thousandths place. If it is 5 or bigger then the number to the left is rounded up. If its lower than 5 you round down
Since 6 is over 5 we tound up
616.67
Hello!
Let's check:
200 * 25% = 50
200 - 50 = 150
150 * 10% = 15
150 - 15 = 135
So, with the 25% and then an extra 10% off, the coat would cost $135.
200 * 35% = 70
200 - 70 = 130
So, Jenny's friend is incorrect, because that is not the same as a 35% discount.
