Answer:
see explanation
Step-by-step explanation:
(1)
x + 20 and 45 are vertically opposite angles and are congruent, so
x + 20 = 45 ( subtract 20 from both sides )
x = 25
Similarly 5y and 135 are vertically opposite angles and are congruent
5y = 135 ( divide both sides by 5 )
y = 27
(2)
x + 30 and 70 are vertically opposite angles and are congruent, then
x + 30 = 70 ( subtract 30 from both sides )
x = 40
Similarly y + 50 and 110 are vertically opposite and congruent , so
x + 50 = 110 ( subtract 50 from both sides )
x = 60
Answer:
g(3a – 6) = a - 4
Step-by-step explanation:
g(x) = 1/3x - 2
g(3a – 6) = 1/3(3a – 6) - 2
= a - 2 - 2
= a - 4
Answer:
D. Expression for Nick's distance from starting point= 6+(-4)+2
Step-by-step explanation:
Finding expression for each scenario:
A.
Number of boxes processed on on Monday =6 boxes
Number of boxes processed on on Tuesday =4 boxes
Number of boxes processed on on Wednesday =2 boxes
Expression for total boxes processed on these 3 days = 
B.
Temperature of Suma's city at noon = 6°C
Temperature of Suma's city at 8pm = 4°C
Temperature of Suma's city at noon next day = 2°F
Total temperature change = cannot be determined as all measurements are not in same units.
C
Money put on Monday = $6
Money put in Wednesday =$4
Money withdrew on Saturday = $2
Expression for balance of Re'onna's piggy bank = 
D
Distance ran north =6 miles
Distance ran south(back) = 4 miles
Distance ran north again = 2 miles
Expression for Nick's distance from starting point= 6+(-4)+2
The answer for this one is 29 and 13. Hope it help!
Answer:
x=10
m=3
Step-by-step explanation:
The angles are the same since the sides are the same length (isosceles triangle)
55 = 5x+5
Subtract 5
55-5 =5x+5-5
50 = 5x
Divide by 5
50/5 = 5x/5
10=x
The altitude is a perpendicular bisector so
5m-3 = 2m+6
Subtract 2m from each side
5m-3-2m = 2m+6-2m
3m-3 = 6
Add 3 to each side
3m-3 +3 =6+3
3m =9
Divide by 3
3m/3 = 9/3
m =3