Since it is a given that the angles are vertical, then that means they have to be congruent or = to each other so we can now set up an equation:
3x+7=x+53
Now we need to get the variable alone on one side so subtract 7 from the left (remember what you do, you must do to both sides)
3x=46
Now we can divide by three to get x alone
x=15.333333333 or rounded to 15.33
Answer:
1 1/3
Step-by-step explanation:
The problem express that the fraction of time
worked by the three people need to be equivalent to one person working full
time. This means that the fraction need to add up to one. We know one person
works ½ time on the project and another works one third 1/3 time.
Given:
A = the amount of time that the third person needs
to work on the job to add up to one
1 = ½ +1/3 + A
1 – ½ - 1/3 = A
To subtract the fractions put them all over a
common denominator. Use 3 * 2 as the denominator.
1=6/6, ½ = 3/6, 1/3 = 2/6
A = 6/6 – 3/6 – 2/6
<span>A = 1/6 , The third person must work on the project</span>
We have the next inequation
8-4x<56
-4x<56-8
-4x<48
-x<48/4
-x<12
x>-12
Solution: x>-12 or (-12,+∞)
Answer:
N= 9/2
Step-by-step explanation: