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Nadya [2.5K]
3 years ago
14

Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

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Step-by-step explanation:

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Find the perimeter and area of each figure.​
Sergio039 [100]

Answer:

  1. A = 2x; P = 4x+2. A = 4; P = 10.

  2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

  A = x + x

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The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

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When x=2, these values become ...

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2. Again, the area is the sum of the marked areas:

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The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

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4 0
4 years ago
Trigonometry: <br>1) Work out the bearing from B to C. <br>2) Calculate the bearing of D from B
kakasveta [241]

Answer:

see below

Step-by-step explanation:

a bearing is the angle in degrees measured clockwise from north.

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tan C = 1

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tan ^ -1 tan C = tan ^ -1 ( 1)

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135 degrees from north

Tan B = opp side / hyp

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D = 56.30993247

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4 years ago
Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorte
vlada-n [284]

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Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

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Now let's solve this for P.

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(30/7)*7ft = P = 30ft.

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