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3 years ago

1. Yasmine earns $0.25 for each cup of lemonade she sells.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Answer:

It is 86/0.25. So she selled 172 cups of lemonade.

Step-by-step explanation:

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3 years ago

QUESTION :-

Galina-37 [17]

Answer:

92000

Step-by-step explanation:

Given:

I = 5% = 0.05
t = 2 years
Let the sum is x.

Simple interest:

SI = x*2*0.05 = 0.1x

Compound interest:

CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x

The difference is 230:

0.1025x - 0.1x = 230
0.0025x = 230
x = 230/0.0025
x = 92000

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3 years ago

In the given figure △ABC ≅△DEC. Which of the following relations can be proven using CPCTC ?

Serhud [2]

Option B:

$\overline{A B}=\overline{D E}$

Solution:

In the given figure $\triangle A B C \cong \triangle D E C$ .

If two triangles are similar, then their corresponding sides and angles are equal.

By CPCTC, in $\triangle A B C \ \text{and}\ \triangle D E C$ ,

$\overline{AB }=\overline{DE}$ – – – – (1)

$\overline{B C}=\overline{EC}$ – – – – (2)

$\overline{ CA}=\overline{CD}$ – – – – (3)

$\angle ACB=\angle DCE$ – – – – (4)

$\angle ABC=\angle DEC$ – – – – (5)

$\angle BAC=\angle EDC$ – – – – (6)

Option A: $\overline{B C}=\overline{D C}$

By CPCTC proved in equation (2) $\overline{B C}=\overline{EC}$ .

Therefore $\overline{B C}\neq \overline{D C}$ . Option A is false.

Option B: $\overline{A B}=\overline{D E}$

By CPCTC proved in equation (1) $\overline{AB }=\overline{DE}$ .

Therefore Option B is true.

Option C: $\angle A C B=\angle D E C$

By CPCTC proved in equation (4) $\angle ACB=\angle DCE$ .

Therefore $\angle A C B\neq \angle D E C$ . Option C is false.

Option D: $\angle A B C=\angle E D C$

By CPCTC proved in equation (5) $\angle ABC=\angle DEC$ .

Therefore $\angle A B C\neq \angle E D C$ . Option D is false.

Hence Option B is the correct answer.

$\Rightarrow\overline{A B}=\overline{D E}$

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3 years ago

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Answer:

The last one.

Step-by-step explanation:

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Answer:

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