A first number plus twice a second number is 13 Twice the first number plus the second totals 35 Find the numbers.

 the first number is 19 and second number is -3

Step-by-step explanation:

Let the First number be represented as  x

and  second number be represented as  y

Therefore, A first number plus twice a second number is 13 be expressed as

x + 2y = 13equation 1

also  Twice the first number plus the second totals 35

2x+ y = 35 equaton 2

Step 2 --- Solving

x + 2y = 13equation 1

2x+ y = 35 equation 2

By substitution, making x subject of formulae in equation 1

x+ 2y = 13

x= 13 - 2y

putting the value of x= 13- 2y in equation 2

2( 13 - 2y) + y= 35

26 - 4y + y= 35

-4y + y= 35- 26

-3y= 9

y = 9/-3

y= -3

To Find x , using equation 1

x + 2y = 13

x+ 2 x -3= 13

x-6=13

x= 13+6

x= 19

Therefore the first number = 19 and the second number = -3

sine

step-by-step explanation:

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.