A rational number equivalent to 3.12 with a line over 12 is: 103/33
A rational number is defined as any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.
In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.
A rational number equivalent to 3.12 with a line over 12 is 3 + 12/100.
The line over 12 indicates that 12 is repeating infinitely, so the decimal representation is 0.121212... (with 12 repeating).
To convert this repeating decimal to a rational number, we can use the following method:
Let x = 0.121212...
Multiply both sides of the equation by 100 to shift the repeating part two decimal places to the left:
100x = 12.121212...
Now, subtract the original equation from the shifted equation to eliminate the repeating part:
100x - x = 12.121212... - 0.121212...
99x = 12
Finally, divide both sides by 99 to solve for x:
x = 12/99 = 4/33
So, the rational number equivalent to 3.12 with a line over 12 is 3 + 12/100 = 3 + 4/33 = 103/33
Read more about Rational Number at: brainly.com/question/22221295
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The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Solution:
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
after a translation of up 3 minus 4 what would be the new coordinates
Answer:
Identify the location of each point on the number line.
0.5 is point
✔ D
.
A negative one-half is a point
✔ C
.
–1.4 is a point
✔ B
.
2 is point
✔ F
.
Step-by-step explanation: