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nasty-shy [4]
2 years ago
6

In the figure, angle D measures 31° and angle A measures 27

Mathematics
1 answer:
patriot [66]2 years ago
3 0

The acute angles of a right triangle are complementary, so:

m\angle B=90-27=\boxed{63^{\circ}}\\m\angle F=90-31=\boxed{59^{\circ}}

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Step-by-step explanation:

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3 years ago
A pair of shoes which costs Rs 320 was sold at a loss of 5%what was the selling price if it is sold at profit of 20%find the gai
taurus [48]

Answer:

The Sell Price of the shoe at 5% loss is <u>Rs 304</u>.

The Sell Price of the shoe at 20% profit is <u>Rs 384</u>.

The Total Gain Percent is <u>12.5%</u> when shoes are sold at Rs.360.

Step-by-step explanation:

Given,

Cost Price(C.P.) of shoe = Rs 320

Case 1.

Loss = 5%

C.P. = Rs 320

Here loss percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.

For this we use the formula of  calculating S.P.

S.P. = \frac{C.P.(100-loss\%)}{100}

On substituting the given values, we get;

S.P. = \frac{320(100-5)}{100}\\\\S.P. =\frac{320\times 95}{100} =\frac{30400}{100} =Rs\ 304

The Sell Price of the shoe at 5% loss is <u>Rs 304</u>.

Case 2.

C.P. = Rs 320

Profit = 20%

Here profit percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.

For this we use the formula of  calculating S.P.

S.P. = \frac{C.P.(100+profit\%)}{100}

On substituting the given values, we get;

S.P. = \frac{320(100+20)}{100}\\\\S.P.=\frac{320\times 120}{100}=\frac{38400}{100}=Rs\ 384

The Sell Price of the shoe at 20% profit is <u>Rs 384</u>.

Case 3.

C.P. = Rs 320

S.P. = Rs 360

Now we need to find the gain percent.

First we will find the gain.

Gain is the difference of S.P with C.P.

Gain = 360-320 = 40

Now Gain Percent can be calculated by dividing gain with the cost price and then multiplying it with 100

Gain Percent = \frac{40}{320}\times 100 = 12.5\%

Hence The Total Gain Percent is <u>12.5%</u> when shoes are sold at Rs.360.

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H . E . L . P
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Answer:

A) 25

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Step-by-step explanation:

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