What is the length of segment FG?
2 answers:
Answer:
D. 10.49
Step-by-step explanation:
(see attached for reference)
Here we have two right triangles formed by dividing a larger right triangle by the Altitude (height) of the larger right triangle.
In this special case, all 3 triangles (2 small and 1 large) are SIMILAR and hence we can use the ratios of similar triangles to solve this.
In our case, ΔGFE is similar to ΔGHF
hence FG/GE = GH/FG
We are given that GE = 10 and GH = 11, hence
FG/10 = 11/FG
FG² = (10)(11)
FG² = 110
FG = ±√110
FG= 10.49
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Answer:
<h2>The time needed is 10 months.</h2>Step-by-step explanation:
The given points are (0, 3500) and (5, 1750).
First, we use the formula below to find the slope of the line
Which means the function is deacrasing with a ratio of 350 feet per month.
Now, we use the slope and one point to find the equation
This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.
Therefore, the time needed is 10 months.