For a right triangle with legs legnth a and b and hyptonuse c
a^2+b^2=c^2
9 feet from base, that's one leg
wire is hypotnuse, it's 1 more than height on tree
c=b+1
so
9^2+b^2=(b+1)^2
81+b^2=b^2+2b+1
minus b^2+1 from both sides
80=2b
divide both sides by 2
40=b
c=b+1
c=40+1
c=41
legnth of wire is 41ft
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Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
Answer:
1/2
Step-by-step explanation:
We can rephrase the question as "What percent of 50 is 20?".
"What percent ..." is an unknown. We'll use the variable x to represent this unknown.
The word 'of' in mathematics can mean 'multiply'. Likewise the word 'is' can mean 'equal'.
Now we have the phrase "20 equals to x times 50".
Or in an equation: 20 = x * 50
Solve for x.
20 = x * 50

= x <-- Divide both sides by 50
Simplify the fraction.

Convert the fraction into a decimal.

= 0.4
Convert the decimal into a percent.
0.4 = 40%
So, 40% is the answer.