The <em><u>correct answers</u></em> are:
KL = 2*JL; JK = (√3)JL; and JK = ((√3)/2)KL
Explanation:
This is a 30-60-90 right triangle. This type of triangle has a special relationship among the sides. Let the smallest side, across from the 30° angle, be t. This means JL = t.
The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.
The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.
Comparing JK to KL, we have
The t on top and bottom cancel out, leaving us with the ratio (√3)/2. This means that JK = ((√3)/2)KL.
Answer:
24x+20
Step-by-step explanation:
perimeter is just the sum of all the sides
6x+5 +6x+5 +6x+5+6x+5= 24x+20
Answer: 11x + 11
Step-by-step explanation:
This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus
y - y₁ y₂ ₋ y₁ y₂ ₋ y₁
------ = ---------- or y ₋ y₁ = --------- ˣ ( x - x₁ )
x - x₁ x₂ ₋ x₁ x₂ ₋ x₁
Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.
y - 6 -5 - 6 -11 -11
------ = -------- = ---- = -----
x - (-1) -1 - (-1) -1 + 1 0
y - 6 -11
------ = -----
x + 1 0 ,
Now we cross multiply to have a linear equation
0( y - 6 ) = -11( x + 1 )
0 = -11x - 11, now multiply by -1
The equation now becomes
11x + 11
Answer:
V≈3619.11cm³
Step-by-step explanation:
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