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kati45 [8]
2 years ago
15

Slove : 28/36 = 14/y

Mathematics
2 answers:
Dafna1 [17]2 years ago
7 0

Answer:

y = 18

Step-by-step explanation:

<h3><u>i</u><u>)</u><u> </u><u>redu</u><u>ce</u><u> the</u><u> fraction</u><u> </u><u>with</u><u> </u><u>4</u></h3>

\frac{28}{36}  =  \frac{14}{y}

\frac{28 \div 4}{36 \div 4}  =  \frac{14}{y}

\frac{7}{9}  =  \frac{14}{y}

<h3><u>ii</u><u>)</u><u> </u><u>simpl</u><u>ify</u><u> the</u><u> </u><u>eq</u><u>uation</u><u> </u><u>with</u><u> </u><u>cross</u><u> </u><u>multiplication</u></h3>

\frac{7}{9}  =  \frac{14}{y}

7y = 14 \times 9

7y = 126

<h3>iii) <u>divi</u><u>de</u><u> both</u><u> sides</u><u> of</u><u> the</u><u> equation</u><u> </u><u>by</u><u> </u><u>7</u></h3>

<u>\frac{7y}{7}  =   \frac{126}{7}</u>

<u>y = 18</u>

pychu [463]2 years ago
3 0

Answer:

Step-by-step explanation:

Apply proportions

y =(36*14)/28 = 18

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<h2>Answer:</h2>

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3 years ago
Use lengths |OQ| = 9.4 units and |OQ’| = 17.1 units to determine the scale factor r of dilation D (round to the nearest hundredt
NNADVOKAT [17]

Answer:

Scale factor = 1.82 units.

Step-by-step explanation:

We have been given that side length OQ of our prei-mage is 9.4 units and side length OQ' after dilation is 17.1 units. Since our pre-image (original image) is smaller than our new image, so our scale factor (r) will be greater than 1.

Since we know that in a dilation, the sides of the pre-image and the corresponding sides of the image are proportional, so we will use proportion to find a scale factor our given side lengths as:

\frac{OQ'}{OQ}=\frac{17.1}{9.4}

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Upon multiplying both sides of our equation by OQ we will get,

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Upon rounding our answer to nearest hundredths place we will get,

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3 years ago
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