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Norma-Jean [14]
2 years ago
8

Mr. Lisa wants to hang a triangular banner at the entrance of the school. He performs an unknown dilation to include the banner

labeled ∆A'B'C' on a sketch. If side A'B' is 8 units, what will be the measure of B'C' if the measure of AB is 24 feet and BC is 6 feet?
Mathematics
1 answer:
Kamila [148]2 years ago
4 0

Answer:

B'C' = 2 units

Step-by-step explanation:

The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).

Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:

A'B'/AB = B'C'/BC

Substitute

8/24 = B'C'/6

Cross multiply

24*B'C' = 8*6

24*B'C' = 48

B'C' = 48/24

B'C' = 2 units

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Three of the choices are ways to express 0.50. Which is NOT?
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Option B

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<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}

\frac{50}{100} means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying \frac{50}{100} we can write,

\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}

\frac{1}{2} means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

\frac{5}{100} = 0.05

Therefore option B is wrong

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