if EF=9x+14, FG=56, and EG=250, find the value of x.
Just label the line segments and add them up:
9x+14 + 56 = 250
9x+14 = 194
9x = 180
x = 20
To find the value of x, we can use the fact that the sum of the lengths of two consecutive line segments is equal to the length of the third line segment in a straight line.
Here, EF and FG are two consecutive line segments that form a straight line with EG. We are given that EF = 9x + 14, FG = 56, and EG = 250.
Using the fact mentioned above, we can write the equation: EF + FG = EG.
Substituting the given values, we get: (9x + 14) + 56 = 250.
Simplifying the equation, we have: 9x + 70 = 250.
Now, let's solve for x. Subtracting 70 from both sides of the equation, we get: 9x = 180.
Finally, dividing both sides of the equation by 9, we find: x = 20.
Therefore, the value of x is 20.
To find the value of x, we need to use the information given about the lengths of EF, EG, and FG.
We know that EF = 9x + 14 and FG = 56. Also, EG = EF + FG.
Substituting the given values, we get:
EG = EF + FG
250 = (9x + 14) + 56
250 = 9x + 70
Now, let's isolate the variable x by subtracting 70 from both sides of the equation:
250 - 70 = 9x
180 = 9x
Finally, divide both sides by 9 to solve for x:
180/9 = x
20 = x
Therefore, the value of x is 20.
Why did the math book need a therapist? It had too many problems!
Now, let's tackle this math problem. We have the information that EF is equal to 9x + 14, FG equals 56, and EG equals 250. We can use these equations to create an equation involving x.
First, let's find the value of EF by adding up the lengths of FG and EG:
EF = FG + EG
EF = 56 + 250
EF = 306
Now, we can substitute the value of EF into the equation EF = 9x + 14:
306 = 9x + 14
Subtract 14 from both sides of the equation to isolate 9x:
306 - 14 = 9x
292 = 9x
Finally, divide both sides of the equation by 9 to solve for x:
292/9 = x
x ≈ 32.44
So, the value of x is approximately 32.44.