If a and b must be positive integers, what is the largest integer n such that 13a + 18b = n has no solutions?

Any integer that is not integer multiple of 234 is not a solution.

Step-by-step explanation:

We are required to find the largest integer n such that 13a + 18b = n has no solution, where a and b are integers.

13a + 18b = n

For a = 1, b = 0

n = 13

For a = 0, b = 1

n = 18

So, for the solution sets (1, 0), (0, 1), n will always have a solutions.

Consider n = 13 × 18 = 234

This means that any integer that is not integer multiple of 234 is not a solution.

(-5,-28)

i graphed to on desmos.

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.