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Pavlova-9 [17]
3 years ago
11

What is the value of c? 4 units 5 units 6 units 7 units O

Mathematics
1 answer:
zmey [24]3 years ago
6 0
You need to provide more context to the question
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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5
Gnesinka [82]

\large\underline{\sf{Solution-}}

Given that,

In <u>triangle TPQ, </u>

  • RS || PQ,

  • RS = 3 cm,

  • PQ = 6 cm,

  • ar(∆ TRS) = 15 sq. cm

As it is given that, <u>RS || PQ</u>

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

\rm\implies \: \triangle TPQ \:  \sim \: \triangle TRS \:  \:  \:  \:  \:  \:  \{AA \}

<u>Now, We know </u>

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)}  = \dfrac{ {PQ}^{2} }{ {RS}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{ {6}^{2} }{ {3}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{36 }{9}

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = 4

\rm\implies \:ar( \triangle \: TPQ)  = 60 \:  {cm}^{2}

3 0
2 years ago
150 - x = 87 what does x equal here ?
Ainat [17]

Answer:

x=63

Step-by-step explanation:

<em>Subtract by 150 from both sides of equation.</em>

<em>150-x-150=87-150</em>

<em>Simplify.</em>

<em>87-150=-63</em>

<em>-x=-63</em>

<em>Divide by -1 from both sides of equation.</em>

<em>-x/1=-63/-1</em>

<em>Simplify, to find the answer.</em>

<em>-63/-1=63</em>

<em>x=63 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day!</em>

5 0
3 years ago
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A pair of socks is purchased
ycow [4]

There was a 200% increase

8 0
3 years ago
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PLZZZ HELP 3RD TIME ASKING THIS IS WORTH 40% OF MY GRADE
den301095 [7]

Answer:

112

Step-by-step explanation:

7 0
3 years ago
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a diver is exploring the water of the great barrier reef she is currently 25 feet from the surface of the water and plans to exp
11111nata11111 [884]

Answer:

6.25

Step-by-step explanation:

she is at 25

she needs to be at 75 which means she needs 50 more feet

at 8 per minute she will reach the depth in 50/8 = 6.25 minutes or 6 minutes and 15 seconds

6 0
2 years ago
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