The answer is going to be 5
∠1 and ∠2 are supplementary // given∠3 and ∠4 are supplementary // given∠1 ≅ ∠3 // given m∠1 + m∠2 = 180° // definition of supplementary anglesm∠3 + m∠4 = 180° // definition of supplementary angles m∠1 + m∠2 = m∠3 + m∠4 // transitive property of equality m∠1 = m∠3 // definition of congruent angles m∠1 + m∠2 = m∠1 + m∠4 // substitution property of equality (replaced m∠3 with m∠1) m∠2 = m∠4 // subtraction property of equality (subtracted m∠1 from both sides) ∠2 ≅ ∠4 // definition of congruent angles
This is your generic run-of-the-mill sinusoidal function:
f(x) = sin(x)
This is the same sine function but with a phase shift of 3 units to the right:
f(x) = sin(x-3)
This is the sine function but with an amplitude of 4 units:
f(x) = 4sin(x)
This is the sine function but flipped across the x-axis:
f(x) = -sin(x)
Combine all these transformations to get:
f(x) = -4sin(x-3)
Answer:
-58
Step-by-step explanation:
The -58 inside the absolute value lines turns it into a positive 58, but the added negative sign on the outside turns the 58 into a -58