<u>Answer</u><u> </u><u>:</u><u>-</u>
9(3+√3) feet
<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
Answer: Find the GCD (or HCF) of numerator and denominator. GCD of 70 and 20 is 10.
70 ÷ 1020 ÷ 10.
Reduced fraction: 72. Therefore, 70/20 simplified is 7/2.
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Answer:
Alternate exterior angles : ∠g = ∠b , ∠h = ∠a (opposite sides and on outer side)
Alternate interior angles : ∠c = ∠f , ∠e = ∠d (opposite sides and on inner side)
Consecutive interior angles : ∠c = ∠e , ∠d = ∠f (same sides and on same line)
Corresponding angles : ∠e = ∠a, ∠f = ∠b, ∠g = ∠c, ∠h = ∠d (same sides on the line)
Linear pairs : ∠c and ∠e, ∠d = ∠f, (they add to 180)
Vertical angles : ∠c =∠b, ∠d = ∠a, ∠g=∠f, ∠e = ∠h (vertical angles)