Let's draw a perpendicular GI from the point G on FJ.
So, GI = HJ = 24 ft
And IJ = GH = 24 ft
Let's assume FI = x.
Now we can use right triangle FIG to find the length of x.
By using Pythagorean formula we can set up an equation as following:
x² + 24² = 30²
x² + 576 = 900
x² = 900 - 576 Subtract 576 from each sides.
x² = 324
x = 18
Now FJ = FI + IJ
= 18 + 24
= 42
So, length of line segment FJ is 42 feet.
Hope this helps you!
Answer:
Here we can use the relationship:
Distance = time*speed.
When Jose walks, his speed is 4 mph.
Then if he walks for X hours, the distance that he will travel is:
D = 4mph*X
When Jose runs, his speed is 8mph.
Then if he runs for T hours, the distance that he will travel is:
D´ = 8mph*Y
And we know that he travels in total 20 miles, then we must have that:
D + D´= 20mi
This leads to:
4mph*X + 8mph*Y = 20mi
Where X is the time that he walked, and Y is the time that he runed.
Then the equation that represents the different amounts of times that Jose runs and walks is:
4mph*X + 8mph*Y = 20mi
Where we can not really find the solutions for Y and X, because there is only one equation and two variables.
Answer: 1584,
find area of the triangle (6 times half of 24) then
multiply by 22