<h3>
Answer: x = 14</h3>
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Work Shown:
Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.
The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).
Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180
z+z+56 = 180
2z+56 = 180
2z = 180-56
2z = 124
z = 124/2
z = 62
Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)
We'll use the same trick as before.
(x+z)+(x+z)+(y) = 180
(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28
2x+152 = 180
2x = 180-152
2x = 28
x = 28/2
x = 14
1.5 times 10 to the -8th power
Answer:
the answer should be d
Step-by-step explanation:
1 x 4 =4
2 x 4 =8
3 x 4 =12
Answer:
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Step-by-step explanation:
When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.
Given function is:
{(8,1), (-1,2), (10,5), (-3,-3)}
Reversing the order of elements of ordered pairs will given us the inverse function.
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}