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:
C 144
Step-by-step explanation:
multiply 8 and 6 you would get 48. Then multiply 48 by 3. you would get your final answer of 144.
-3(4x - 2) - 2x
-12x + 6 - 2x
-14x + 6
The correct answer is D. -14x + 6
Answer:
Answer in decimal is 5.6 or 56/100 as a fraction
Answer in decimal is 0.66666666666 or 2/3 as a fraction
Step-by-step explanation:
Just either add or subtract the fractions, whichever one you have to do.
Hope this helps, have a good day. c;
Answer:
(x-3)(x+3)
Step-by-step explanation:
We are given the expression 
:—
To factor this expression, we have a formula for it which is <u>difference of two squares</u>:—
You can also swap from 
to 
via multiplication property.
From the expression, factor using the formula above:—
Therefore, the factored expression is:—
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