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ch4aika [34]
3 years ago
8

ABCD is a rectangle. Its diagonals are AC and BD. If AC = 12cm, then BD = _______cm

Mathematics
1 answer:
defon3 years ago
8 0

Answer:

BD = 12\ cm

Step-by-step explanation:

Given

Shape: Rectangle

Diagonals: AC and BD

AC = 12\ cm

Required

Determine BD

From the question, we understand that the shape is a rectangle and its diagonals are AC and BD

Every rectangle has 2 diagonals, both of which are equal.

This implies that:

BD = AC

Recall that:

AC = 12\ cm

Hence,

BD = 12\ cm

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natka813 [3]

Answer:

3. The equivalent fractions are presented as follows;

\dfrac{2}{3}  =  \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

4.  The equivalent fractions are presented as follows;

\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

5. The reason why it works is because \dfrac{1}{8}  + \dfrac{1}{8}   =  \dfrac{1}{4}

Step-by-step explanation:

3. Based on the shaded region of the given figures, the two fractions are equivalent

Mathematically, we can show the equivalency of the two fractions as follows;

\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{2}{3} \times \dfrac{2}{2} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

Therefore;

\dfrac{2}{3}  =  \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

4. From the shaded region of the given figure, the fractions are equivalent

Mathematically, we have;

\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{4}{4} \times \dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

Therefore;

\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

5. The amount of salt required by the recipe = 1/4 teaspoon of salt

The measure of the spoon Jonas has = 1/8 teaspoon

When Jonas adds two 1/8 teaspoons, he gets;

\dfrac{1}{8}  + \dfrac{1}{8}  = \dfrac{1 + 1}{8}  = \dfrac{2}{8}  = \dfrac{2 \times 1}{2 \times 4}  =  \dfrac{2}{2} \times \dfrac{1}{4}  = 1 \times \dfrac{1}{4} =  \dfrac{1}{4}

Therefore;

\dfrac{1}{8}  + \dfrac{1}{8}   =  \dfrac{1}{4}

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