Answer:
0.4444
Step-by-step explanation:
Let's say the number is x.
The equation will be:
1/3x + 12 = x
(one third of a number + 12 equals to the number)
Solving the equation:
subtract 1/3x from both sides:
12 = 2/3x
divide by 2
6 = 1/3x
multiply with 3
18 = x
Your number is 18, its one-third is 6, which is 12 less than the number itself.
8 nickels, because 8 (nickels) × 5 (worth) = 40
24 dimes, because 8 × 3 = 24 24 × 10 = 240
240 + 40 = 280
Pick one question please so it's easier for us to read from here
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