Answer: The opposite of -12 would be 12. You simply just turn the negative number, into a positive. Hope this helped you.
Step-by-step explanation:
B) (-1)(-1)(-1)(-1)
C) (-1)(-1)(-1)(-1)(-1)
D) (-1)(-1)(-1)(0)
Cindy's argument is incorrect. 1/3 is a rational number because it can be expressed as the ratio of two integers. The fact that the decimal representation of 1/3 does not terminate does not make it irrational.
Cindy's argument is incorrect. A fraction is considered irrational if it cannot be expressed as the ratio of two integers. In the case of 1/3, it can be expressed as the division of the integer 1 by the integer 3, so it is a rational number. The fact that the decimal representation of 1/3 (0.333...) does not terminate does not make it irrational. Irrational numbers are decimal numbers that do not repeat or terminate, such as π (pi) and √2 (the square root of 2).
Learn more about Rational and Irrational Numbers here:
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A Right Scalene Triangle
x + y = 180°
x + z = 180°
x = y
y + z = 180
we know that
If lines p and q are parallel
then
---------> by corresponding angles
-------> by consecutive interior angles
Let's verify all the equations to determine the solution to the problem.
Equations
case A)
The equation guarantees that the lines p and q are parallel (see the procedure)
case B)
The equation guarantees that the lines p and q are parallel (see the procedure)
case C)
The equation does not guarantee that the lines p and q are parallel. The only way would be that x-angle and z-angle are right angles
case D)
The equation does not guarantee that the lines p and q are parallel. The only way would be that x-angle and y-angle are right angles
case E)
The equation is always true, but toes not guarantee that the lines p and q are parallel.
therefore
the answer is
Answer: The correct options are
(A) x = z.
(B) x + y = 180°.
Step-by-step explanation: Given that the letters x, y and z are angle measures.
We are to select the correct equations that would guarantee that lines p and q are parallel.
Since the lines p and q are parallel, so
(i) the angles with measures x and y are interior angles on the same side of the transversal
and
(ii) the angles with measure x and z are corresponding angles.
We know that
if two parallel lines are cut by a transversal, then the measures of the corresponding angles are equal
and
the sum of the measures of the interior angles on the same side of the transversal is 180°.
Therefore,
x + y =180°, since they are interior angles on the same side of the transversal
and
x = z, since they are corresponding angles.
Thus, the correct options are
(A) x = z.
(B) x + y = 180°.
146 dan 105
Given:
Two numbers add to 251 and the second is 41 bigger than the first.
Question:
What are the two numbers?
The Process:
Let the first number we call x, and the second number is y.
Two numbers add to 251, We arrange it as Equation-1:
The second is 41 bigger than the first. We arrange it as Equation-2:
Let us solve the two equations above by eliminating the same variable. With the addition process, it appears that the variable y will be eliminated.
x + y = 251
x - y = 41
-------------- ( + )
2x = 292
Divide by two on both sides.
x = 146
The final step is to determine the variable y with the substitution of the value x into one of the two equations above. We choose Equation-1.
x = 146 → 146 + y = 251
y = 251 - 146
y = 105.
Thus, the two numbers are 146 and 105.