Triangles ABC and DFG are similar. Which proportion can be used to find the value of DG¯¯¯¯¯¯? 74=20DG 75=25DG 45=20DG 420=7DG
Two triangles A B C and D F G. A B is 4 feet. B C is 5 feet. A C is 7 feet. D F is 20 feet. F G is 25 feet. Angle B is congruent to angle F.
2 answers:
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Answer:
Step-by-step explanation:
So we want to make x the subject of the formula:
First, distribute the left side:
Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:
Remove the -ab from the left. Add ab to both sides. The left side cancels:
Now, distribute out the x from the left side:
Divide both sides by (a-b). The left side cancels:
Therefore:
has critical points where
:
where is any integer. We get solutions in the interval
for
, for which
.
At this critical point, we have .
At the endpoints of the given interval, we have and
.
So we have the extreme values