Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
4x is the answer for this one
For this case, the first thing we must do is define variables:
x = number of quarters
y = number of dimes
We now write the system of equations:
x + y = 28
0.25x + 0.10y = 4.05
Solving the system of equations we have:
x = 8.33
y = 19.66
Rounding:
x = 8
y = 20
Answer:
the college student has:
8 quarters
20 dimes
