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Digiron [165]
3 years ago
6

Please help ASAP!!!!!!!!!!!

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

x = 3.76 ft

Step-by-step explanation:

To find the missing side, "x", solve using proportions.

In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the <u>scale factor</u>, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).

Therefore, if you divided the pairs of corresponding sides, they would be equal.

From the diagram, you can tell that the following sides correspond:

CB ~ GF

AB ~ EF

<u>Use the proportion</u>

\frac{EF}{AB} = \frac{GF}{CB}

\frac{x}{6ft} = \frac{3.3ft}{5ft}      Substitute values from diagram

6ft*\frac{x}{6ft} = 6ft*\frac{3.3ft}{5ft}       Multiply both sides by 6 ft

x = \frac{6ft*3.3ft}{5ft}        "x" is isolated. Multiply fraction by combining into numerator

x = \frac{19.8ft}{5ft}        Solved numerator. Divide for decimal answer.

x = 3.76ft

The value of 'x' is 3.76 ft.

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Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

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Collect like terms

8x + 2x + 3x = 180 + 5 + 10

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x = 195/13

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The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

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