Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:
We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:
Solve for x. On the right, combine like terms:
Subtract 3x from both sides:
So, the value of x is 10.
To find the value of FG, substitute 10 into its x:
Multiply:
Add:
And we're done!
Well, I'm way past the 15 min mark, but here's how to do the question.
With this, you will need to use the distance formula, , on XY, YZ, and ZX.
XY:
Firstly, solve inside the parentheses:
Next, solve the exponents:
Next, solve the addition, and XY's distance will be √29
(The process is the same with the other 2 sides, so I'll go through them real quickly)
YZ:
ZX:
Now that we got the 3 sides, we can add them up:
In short, your answer is 14.8, or the second option.