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.
7,500 ÷ 100 = 75
Therefore, 7,500 centimeters = 75 meters.
When working with very large or very small numbers, scientists, mathematicians, and engineers use scientific notation to express these quantities. Scientific notation is a mathematical abbreviation, based on the idea that it is easier to read an exponent than to count many zeros in a number. Very large or very small numbers need less space when written in scientific notation because the position values are expressed as powers of 10. Calculations with long numbers are easier to do when using scientific notation
Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.
<h3>How to Apply the Linear Pair Theorem?</h3>
Given the following angles in the image above:
Measure angle RSU = (17x - 3)°,
Measure angle UST = (6x – 1)°
To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:
m∠RSU + m∠UST = 180 degrees (linear pair]
Substitute the values
17x - 3 + 6x - 1 = 180
Solve for x
23x - 4 = 180
23x = 180 + 4
23x = 184
x = 8
m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]
m∠TSV = 180 - 2(6x - 1)
Plug in the value of x
m∠TSV = 180 - 2(6(8) - 1)
m∠TSV = 86°
Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.
Learn more about the linear pair theorem on:
brainly.com/question/5598970
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11 1/4 or 11.25 is the answer
M5 minus M6 will get M1
So 62 - 38 = 24
24 x 3 = 72
So M3 is 72
