If two rational numbers, aa and bb, are ordered such that aa is less than bb, then what must be true about the order for their opposites: −a and −b?

Step-by-step explanation:

a is less than b which means

a<b

When we change the numbers to negative what happens is the -b is farther than -a to zero. Now, -b is less than -a. Whether, a number is smaller or larger is determined by the number's distance to zero. If the number is negative the farther the number the smaller it is. If the number is positive the farther the number the larger the number is.

Let us take an example

3<4

Now their opposites are

-4 and -3.

4 3 2 1 0 -1 -2 -3 -4

Now, it can be seen that -4 is farther hence -4 is smaller than -3.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.