Answer:
Their slopes are opposites
Answer:
Step-by-step explanation:
You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.
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Solving the fraction parts:
1/3 - 1/6 = ?
Find the LCD of 1/3 and 1/6 and rewrite to solve with the equivalent fractions.
LCD = 6
2/6 - 1/6 = 1/6
Combining the whole and fraction parts:
2 + 1/6 = 2 1/6
Solution by Formulas:
10 1/3 - 8 1/6
converting mixed numbers to fractions, our initial equation become:
31/3 - 49/6
Applying the fractions formula for subtraction:
(31 * 6 ) - (49 * 3 ) / 3 * 6
186 - 147 / 18
39 / 18
Simplifying 39/18, the answer:
Answer ======> 2 1/6 ========> Decimal: 2.167
Hope that helps!!!! : )
Answer:
Let the three numbers be x, y and z.
Sum of the numbers is 98.
x + y + z = 98………………(i)
The ratio of the first to the second is 2/3.
x/y = 2/3.
x = 2/3 × y.
x = 2y/3.
The ratio of the second to the third is 5/8.
y/z = 5/8.
z/y = 8/5.
z = 8/5 × y.
z = 8y/5.
Put the value of x = 2y/3 and z = 8y/5 in (i).
2y/3 + y + 8y/5 = 98
49y/15 = 98.
49y = 98 × 15.
49y = 1470.
y = 1470/49.
y = 30 .
Therefore, the second number is 30.
Answer: (c)
Step-by-step explanation: