We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.
Their measures are given as:
∠UVW = x - 10
∠XYZ = 4x - 10
Adding these, we have:
(x - 10) + (4x - 10) = 90
Simplifying:
5x - 20 = 90
Adding 20 to both sides:
5x = 110
Dividing by 5:
x = 22
Substituting back:
∠UVW = 22 - 10 = 12°
∠XYZ = 4(22) - 10 = 78°
Therefore, the values are:
x = 22°
∠UVW = 12°
∠XYZ = 78°
Answer:
graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x
Step-by-step explanation:
The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

Where
signifies the starting quantity (
),
is the decay rate (
) and
denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".