Answer:
This figure is a quadrilateral, and therefore the sum of the interior angles must be 360°. Adding them up, we get 40° + 128° + x + 82° = 360°, or
168° + 82° + x = 360°, or 250° + x = 360. Subtracting 250° from both sides results in 110°, which is the measure of x.
Step-by-step explanation:
Answer:
5640
Step-by-step explanation:
The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
We can use a rule of three simple, direct proportion to solve this problem.
15 pounds correspond to $1.80, then the question is to find the price of one pound, the called unit rate. We state the rule of three:
15 pound ----> $1.80
1 pound -----> x
x = (1)(1.80)/15
x = 0.12
Therefore, each pound costs $0.12 that is the unit rate in pounds
