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2 years ago

How do I find the answer?

Mathematics

1 answer:

Mazyrski [523]2 years ago

8 0

Answer:

Find the answer to what?

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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 triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

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

Now, We know 

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

The cost of 5 kg of potatoes is £3.20

Tom [10]

Answer:

12kg=7.68

1.5=87

Step-by-step explanation:

I found the cost per kg

4 0

2 years ago

To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?

Veronika [31]

Pretty sure it’s 6 miles

8 0

2 years ago

How many weeks will it take him to afford a car worth £1932

andreev551 [17]

7 hours a day
7 x €9.20 = €64.4 per day

6 days a week
€64.4 x 6 = €386.4 per week

Will:Mum = 5:2

386.4 / 7 = 55.2

Will: 55.2 x 5 = 276

After shares his wages, Will makes $276 a week

1932 / 276 = 7 weeks

answer

7 weeks

4 0

3 years ago

You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much mon

Viktor [21]

Answer:

5200 AED or 1404 USD

Step-by-step explanation:

You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.

5000 * 1.04 = 5200

If the question is asking in USD, the conversion rate from AED to USD is

AED * 0.27 = USD

We can substitute

5200 AED* 0.27 = 1404 USD.

6 0

2 years ago