Answer:
x = 15, ∠ B = 108°
Step-by-step explanation:
∠ A and ∠ B are alternate exterior angles and congruent, so
6x + 18 = x + 93 ( subtract x from both sides )
5x + 18 = 93 ( subtract 18 from both sides )
5x = 75 ( divide both sides by 5 )
x = 15
Then
∠ B = x + 93 = 15 + 103 = 108°
Answer:
a = 15
Step-by-step explanation:
The graph of function g(x) is described by g(x)=ax−7, or y = ax−7.
y = g(x)=ax−7 passes through (1/3, -2). We can subst. -2 for y and 1/3 for x to determine the value of the coefficient a:
-2 = g(1/3) = a(1/3) - 7
Solve for a. First, add 7 to both sides: 5 = a(1/3).
Next, multiply both sides by 3: 15 = a, or a = 15.
