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3 years ago

Ravi has 214 meters of rope. He gives 93 centimeters of the rope to his brother. How much rope does he have left?

Mathematics

1 answer:

zmey [24]3 years ago

7 0

Answer:

213.07 m

Step-by-step explanation:

We need to convert to the same units before subtracting.

The length of Ravi's rope is 214 meters.

If he gave 93 centimeters to his brother, then he didn't give up to a meter.

The reason is that, 100cm makes 1m.

Therefore 93cm makes 0.93m

We now set up the subtraction problem:

$214m - 93cm = 214m - 0.93m = 213.07m$

Therefore Ravi has 213.07m of rope left.

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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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Dan puts $11 of his allowance in his savings account every week. how much money will he have after 15 weeks.

EleoNora [17]

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Answer:

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Step-by-step explanation:

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Help, this is so confusing.

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Answer:

D. $0.05

Step-by-step explanation:

Don't worry! I'll help you through it.

So we just have to find the unit rate (price) per apple.

$4 divided by 5lbs bag = $0.80 so, The 1st bag is $0.80 an apple.

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