Given:
In trapezoid
is the mid-segment of
.
To find:
The length of
.
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid
,




Isolate variable terms.


Now,




Therefore, the length of
is 230.
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
Answer:
Option B.
Step-by-step explanation:
Note: The function f(x) is not in correct format it must be
.
It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).
Let as consider the two functions,


Now, table of values is
Month(x)

1 3 17
2 9 22
3 27 27
4 81 32
From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).
In month 3, heights are equal.
In month 4, height of the f(x) plant exceed that of the g(x) plant.
Therefore, the correct option is B.
Answer: The answer is 9
Step-by-step explanation:
3p + 6 = 5p − 12
3(9) + 6 = 5(9) − 12
27 + 6 = 45 − 12
33 = 33
Answer:12
Step-by-step explanation: