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Serjik [45]
3 years ago
10

The Polygons below are similar. Find the value of z. A. 4.5 B. 7.5 C. 12 D. 16

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
The correct answer is B. 7.5
Similar polygons are polygons wherein its corresponding sides are proportional. All corresponding sides of the larger polygon are proportional to the corresponding sides to the smaller polygon, wherein segment HG is proportional to segment DC, and segment FG is proportional to segment BC. (See attachment for reference) A <span>proportion  is an equation that states two ratios are equivalent. By cross multiplying the two ratios, you get an equation for finding the value of z, which is 7.5</span>

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
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Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

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10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

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4(x + y) = (10y + x) - 21 - - - (4)

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x = 5 and y = 3

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3 years ago
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