In a two digit number, the tens digit is 2 less than the units digit multiplied by 3. The reversed number is half of the original number plus 1/2. What is the original number?

73

Step-by-step explanation:

Original number: XY

x = 3y - 2

10y + x = (10x + y) / 2 + 1/2

substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2

* 2 both sides and simplify: 26y - 4 = 31y - 19

31y - 26y = -4 + 19

5y = 15

y = 3

x = 7

Original number: 73

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.

b

step-by-step explanation: