The answer is 80°.
If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.
In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.
When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.
The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.
So if HFG is 80°, HLK must be equal to 80°
2 Pies. If she cuts the first pie for 5 people she only needs one more pie for the 6th person
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
-18 + 9 = -9
-9 = -9
If you're looking for false or true.
The answer would be true
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