If Lines AC and ED intersect at point B, then ∠ABD and ∠EBC are vertically opposite angles
The point where two lines meet is known as an angle.
If line Lines AC and ED intersect at point B, then ∠ABD and ∠EBC will be vertically opposite to each other (They will be equal).
To show that the are equal
Given the angles
m∠ABD = 5x - 5
m∠EBC = 3x + 15
m∠ABD = m∠EBC (vertical angles)
5x - 5 = 3x + 15
5x - 3x = 15 + 5
2x = 20
x = 10
Substitute x = 10 into m∠ABD and m∠EBC
m∠ABD = 5x - 5
m∠ABD = 5(10)-5
m∠ABD = 50 - 5
m∠ABD = 45
Get m∠EBC
m∠EBC = 3x+15
m∠EBC = 3(10)+15
m∠EBC = 30+15
m∠EBC = 45 degrees
We can see that both angles are equal. Hence we can also conclude that they are vertically opposite angles
Learn more here: brainly.com/question/23466343
If you have anymore questions let me know. I’m sorry if it seems a little bit confusing, just follow the numbers 1,2, and 3.
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
Answer:
Step-by-step explanation:
<u>Given sets</u>
- R = {10, 15, 20}
- S = {20, 25}
<u>Intersection of sets</u>
