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jeka57 [31]
3 years ago
9

Solve the proportion and round your answer to the nearest tenth.

Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

  • Two equal fractions \frac{a}{b} = \frac{c}{d}
  • Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is \frac{7.7}{15.4} = \frac{y}{2.2}

→ Use the  cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ \frac{15.4y}{15.4} = \frac{16.94}{15.4}

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

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<u>Complete Question</u>

The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?

Answer:

(B)TU ≅ TS

(D)The length of line segment PR is 13 units.

Step-by-step explanation:

The diagram of the question is drawn for more understanding,

The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.

Therefore:

|PQ|=|PU|=8 Units

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(b)From the above, TU ≅ TS

(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units

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Jerry multiplied 3.04 x 7.091 and got the product 2.155664. Is his answer reasonable? Why or why not?
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Now the first number has two digits after the decimal and the second number has three digits after the decimal.

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So the answer would be 21.55664

So, the correct answer is 21.55664

Jerry calculated the answer correctly , but made an error in the placement of the decimal point.  The answer is not reasonable because 2.155664 and 21.55664 mean two completely different answer far apart from each other


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