Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°
Answer:
A. As the value of x increases, the value of f(x) moves toward a constant
Step-by-step explanation:
An exponential function with a base less than 1 will decay to zero. Here, the exponential has -2 added to it, so the decay is toward the value -2.
An exponential function is defined for all real numbers. This one has a y-intercept of -1.
Answer: -209
Step-by-step explanation:
Formula for arithmetic progression
= a + (n - 1)d
Since a10 = 1 and d = -6
a10 = a + 9d
a + 9(-6) = 1
a - 54 = 1
a = 1 + 54
a = 55
Therefore, 45th term = a + (n - 1)d
= a + (45 - 1)d
= a + 44d
= 55 + 44(-6)
= 55 - 264
= -209
