135.30 dollars is the total cost
Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
1. Each letter is paired with each of the other letters to produce all the permutations of 2 letters. There are 6×5 = 30 of them.
FA FB FR FI FC .. A.F AB AR AI AC .. BF BA BR BI BC .. RF RA RB RI RC .. IF IA IB IR IC .. CF CA CB CR CI
2. The linear regression function of a graphing calculator can be used to find the line of best fit. Generally, this involves entering the given coordinates and invoking the appropriate regression calculation.
... calories ≈ 13.9×(fat grams) + 191.3
By the Hinge Theorem, we know that
Angle ABD > Angle DBC
The "hinge" can be thought of the angle. A door opens and closes, which is attached to the hinge. The more the door opens, the larger the angle is. The value 11 is larger than 8, so the "door" so to speak is wider in angle. The larger the opposite side from an angle, the larger the angle itself.
So when comparing the two angles 58 and (5x+3), the 58 degree angle is larger.
58 > 5x+3
58-3 > 5x
55/5 > x
11 > x
x < 11
At the same time, the angle DBC can't be negative or zero, so
5x + 3 > 0
5x > -3
x > -3/5
-3/5 < x
Together -3/5 < x and x < 11 combine to the answer of -3/5 < x < 11
This means x can be any number between -3/5 and 11; however, x cannot be equal to -3/5, nor can it be equal to 11
