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
Answer:
-3x+4
Step-by-step explanation:
The answer is -3x+4 because first you have to compine like terms then you will get -3x , then you will get the answer -3×+4 .
Answer:
46/5 hope it helps!
Step-by-step explanation:
9x5= 45
45+1= 46
46/5
Answer:
x=3
Step-by-step explanation:
9x+5+2x = 38
Combine like terms
9x+2x +5 = 38
11x+5 = 38
Subtract 5 from each side
11x+5-5 = 38-5
11x = 33
Divide each side by 11
11x/11 = 33/11
x = 3
