Divide 26 by 6 to get 4.33. Divide 60 by 3 to get 20.
It will take approximately 4 hours and 20 minutes to run the marathon.
Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.
He purchased 3 video games.
Let the cost one one video game be v.
The cost of each video game is same
So the cost of 3 video games is 3v.
Also he is left with $14 after paying for three games.
Hence
3v + 14 = 65
Subtracting 14 from both sides
3v + 14 -14 = 65-14
3v = 51
Dividing by 3 on both sides
v = 51/3
v = 17
Hence the cost of each video game is $17
Nothing except when it has been polluted
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x+16=3x-1
4x-3x=-1-16
x=-17
Hence final answer is x=-17
