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Andrei [34K]
2 years ago
9

20m length of rope costs $12.40. Calucualte the cost of 12m of rope.

Mathematics
1 answer:
atroni [7]2 years ago
6 0

Answer:

$ 7.44

Step-by-step explanation:

20m rope costs $12.40

So, 12m costs = 12.40 x 3/5

= $ 7.44

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The answer is 75/150
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3 years ago
Read 2 more answers
1. Assume O P || NM.
ipn [44]

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  \frac{ON}{LO} = \frac{PM}{LP} = 3 using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

<h3>What is the Triangle Proportionality Theorem?</h3>

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

\frac{ON}{LO} = \frac{PM}{LP}

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, \frac{ON}{LO} = \frac{PM}{LP} = 3

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

\frac{3}{1} = 3\\\\\frac{6}{2} = 3

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

brainly.com/question/24804474

4 0
3 years ago
The sum of five consecutive numbers is 700, what is the first number?
Feliz [49]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

<em />

Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

We are given that their sum is 700. Therefore:

x+(x+1)+(x+2)+(x+3)+(x+4)=700

Solve for <em>x</em>. Combine like terms:

5x+10=700

Subtract 10 from both sides:

5x=690

Divide both sides by five. Therefore:

x=138

The first number is 138.

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