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NISA [10]
3 years ago
6

A pizza is to be cut into halves. Each of these halves is to be cut into sevenths. What fraction of the pizza is each of the fin

al pieces?
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer: \dfrac{1}{14}

Step-by-step explanation:

Given, A pizza is to be cut into halves.

Since half is represented by \dfrac12 .

So each piece is now \dfrac12 of the original.

if each of these halves is to be cut into sevenths, then the fraction of  final pieces would be: \dfrac{1}{2}\times\dfrac{1}{7}=\dfrac{1}{14} or we can say each half is divides into 7 pieces since there are two halves, so there will be 2 x 7 = 14 peices.

And the fraction of the pizza is each of the final pieces = \dfrac{1}{14} .

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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}

5 0
3 years ago
A basketball player attemps 15 free throws in a game. He makes 9 of the attempted free throws. Which ratio describes the number
Ber [7]

Answer:

1) 3: 5

Step-by-step explanation:

Hope this helps!!! :)

5 0
3 years ago
What is the percent of change from 500,000 to 20,000?
photoshop1234 [79]

Answer:

96 decrease

Step-by-step explanation:

5000000-20000=

480000/500000 x 100

96

96% decreased

8 0
2 years ago
Read 2 more answers
What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π
GrogVix [38]

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π r^{2}

r = 2.7 / 2 = 1.35

4 x 3.14 x 1.35^{2} = 22.8906

5 0
3 years ago
Which of the point-slope equations below are correct for the line that passes through points (-4,-14) and (1,3)?
Scrat [10]
(-4,-4)(1,3)
slope = (3 - (-4) / (1 - (-4)
slope = (3 + 4) / (1 + 4) = 7/5

y - y1 = m(x - x1)...using (-4,-4)
slope(m) = 7/5
y - (-4) = 7/5(x - (-4) =
y + 4 = 7/5(x + 4) <==here is one

y - y1 = m(x - x1)..using (1,3)
slope = 7/5
y - 3 = 7/5(x - 1) <== here is the other one
4 0
3 years ago
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