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Klio2033 [76]
3 years ago
9

In triangle DEF. DF = 16 and m<F = 45Find the length of a leg. Leave your answer in simplest radical form.

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
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you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the fi
tangare [24]

Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

<u>Find the value of x</u>

x=y-6 -------> equation 2

x=24-6=18 in

<u>Find the value of z</u>

z=6+y -------> equation 3

z=6+24=30 in

therefore

<u>the answer is</u>

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in

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3 years ago
In one season a basketball team won 60 games and lost 20 games what are the ratios of games won to games lost
Nutka1998 [239]

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7 0
11 months ago
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Consider f(x) = -(x+7)^2 +4. check all that apply
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dalvyx [7]

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What is the error in the equation
dimulka [17.4K]

Answer:

The fifth line contains the error.

Step-by-step explanation:

Line 1 is the equation.

Lines 2, 3, and 4 are correct.

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