Answer:
x = 18
y = 5
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and two transversal lines are intersecting these parallel lines at points A, B and C.
Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]
m∠ABC = 180° - (7x - 23)°
m∠BCA = (11y - 1)° [Vertical angles]
m∠BAC = 49°
In ΔABC,
m∠ABC + m∠BAC + m∠CAB = 180°
180° - (7x - 23)° + 49° + (11y - 1) = 180°
-7x + 11y = -71
7x - 11y = 71 ------(1)
Since, sum of consecutive angles is 180°
Therefore, m(∠ABC) + (3x + 49)° = 180°
180° - (7x - 23)° + (3x + 49)° = 180°
-4x = -72
x = 18
From equation (1),
7(18) - 11y = 71
11y = 55
y = 5
Answer:
The value of c is 3
Step-by-step explanation:
Here, we want to get the value of c
From the question, we can select a single x-point
when x = 16
f(x) = 2
g(x) = -1
Thus;
g(16) = f(16) - c
-1 = 2 - c
c = 2 + 1
c = 3
Answer: 4logw (x^{2} - 6) - 1/3logw (x^{2} + 8)
Step-by-step explanation: