Shanika is thinking of a rational number, but tells you its opposite. what is true about the number she is thinking of?
a. it is located at zero on a number line
b. it is twice as far from zero as the number she tells you
c. it is to the right of zero on a number line
d. it is the same distance from zero as the number she tells you

d. It is the same distance from zero as the number she tells you

Step-by-step explanation:

Case 1: Let Shanika thought a positive rational number

Let the number that Shanika thought be c.

Then, the distance of it from zero = |c - 0| = c.

But, the number she told = -c

The distance of -c from zero = |0--(-c)| = c

Case 2: Let Shanika thought a negative rational number

Let the number that Shanika thought be -c (c > 0).

Then, the distance of it from zero = |0--(-c)| = c.

But, the number she told = c

The distance of -c from zero = |c - 0| = c

In both cases, the number she thought is the same distance from zero as the number she tells us

It is the same distance from zero as the number she tells you.

Step-by-step explanation:

It is the same distance from zero as the number she tells you.

Step-by-step explanation:

For this exercise it is important to remember the definition of opposite numbers.

Opposite numbers are defined as those numbers that are in opposite positions on a number line, but their distance from zero is the same. Then, one of them is positive and the other one is negative.

The sum of opposite numbers is zero.

For example, the following numbers are opposite:

  and

  and

  and

Therefore, if Shanika says the opposite of a rational number, you can conclude that the number she is thinking is the same distance from zero as the number she tells you.

x=14

step-by-step explanation:

3x

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)