Answer:x =8.3
Step-by-step explanation:
Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,
AB/DB = BG/BE = AG/DE
AB = 11
BG = 10 + x
Therefore,
11/6 = (x + 10)/10
Cross multiplying, it becomes
6(x + 10) = 11 × 10
6x + 60 = 110
Subtracting 60 from left hand side and the right hand side of the equation, it becomes
6x + 60 - 60 = 110 - 60
6x = 50
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 50/6
x = 8.3 rounded up to the nearest tenth
Answer:
the answer is A)Social Security tax: $2,194.80, Medicare tax: $513.30
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
To start, let's simplify the equations to slope-intercept form
y - 1/4x = =1
+1/4x +1/4x
y = 1/4x - 1
y - 2 = 4x
+2 +2
y = 4x + 2
As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.
Feel free to ask me any questions in the comments! :D
Your probability is a 30% chance of picking up a red marble then when getting a yellow one you have a 33.3% and so on of 3s chance of picking a yellow one
very low in my opinion
:D
Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
