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Tanzania [10]
3 years ago
14

What is the value of X in the following parallelogram?

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer: x = 35

Step-by-step explanation:

In a parallelogram, the opposite sides and the opposite angles are equal and parallel.

Also, the consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle (2x - 10) and angle (2x + 50) are consecutive angles. Therefore,

2x - 10 + 2x + 50 = 180

2x + 2x - 10 + 50 = 180

4x + 40 = 180

4x = 180 - 40 = 140

x = 140/4

x = 35

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Answer: 75 meters

Step-by-step explanation: In this problem, we're asked to convert 7,500 centimeters into meters which means we use the conversion factor for centimeters and meters.

Conversion factor ⇒ <em>100 centimeters = 1 meter</em>

Next, notice that we're converting from a smaller unit "centimeters" to a larger unit "meters" and when we convert from a smaller unit to a larger unit we divide by the conversion factor.

So we divide 7,500 by the conversion factor which is 100.

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Step-by-step explanation:

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In this particular example, you can divide 182 by 7 and get 26 and 21 by 7 to get 3. This symbols that they are equal. If you try the inverse operation (multiplication), you could multiply 26 by 7 and get 182. Same goes for 21 and 3: you multiply 3 by 7 to get 21. Just remember to multiply or divide the two numbers (numerator and denominator) by the same number to get an equivalent fraction.

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9,032,504.75 in word form
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