Answer:
B. x = 15, m∠Q = 75°
Step-by-step explanation:
Given:
m∠P = 105°
m∠Q =
Angles P and Q are supplementary angles
To find value of and m∠Q.
Solution:
[Sum of supplementary angles =180°]
[Substitution ∵ m∠P = 105° and m∠Q =
]
Subtracting both sides by 105°.
Dividing both sides by 5.
∴
∴
Let y = f(x). By the fundamental theorem of calculus, differentiating f(x) twice yields
y is concave upward wherever f''(x) > 0. The denominator is positive for all real x, so the numerator determines the sign of f''(x). We have 6x + 1 = 0 when x = -1/6, and
• for x ∈ (-∞, -1/6), we have e.g. with x = -1, 6x + 1 = -5 < 0
• for x ∈ (-1/6, ∞), we have e.g. with x = 0, 6x + 1 = 1 > 0
Then y is concave upward on the interval (-1/6, ∞).