Answers:
0.444444....=4/9
0.13131313131313.....=13/99
Answer:
Step-by-step explanation:
s=18, t=18 the s gives t x sweets
s=18-x, t=18+x, s eats 5 and t eats half
s=18-5-x, t=(18+x)/2
Reamining sweets is
R=s+t
R=18-5-x+(18+x)/2
R=13-x+(18+x)/2
R=(26-2x+18+x)/2
R=(44-x)/2
Not sure what you mean by dot product, maybe explain and I can help better but the two make an equation of y= 4/1 x + -27, that is the equation of the line.
Assuming you need an answer to question #7, here it is.
The sum of all angles inside a polygon depends on the number of sides it has. (n-2) x 180°, where n is the number of sides. Knowing there are 5 sides to the polygon, we can figure out the sum of its interior angles :
(5-2) x 180° = 3x180° = 540°
We know the values of the two right angles on the right side of the shape. They both are of 90° (aka right angle) and add up to 180°. This means that the other angles must make up the rest : 540° (Total) - 180° (right side) = 360° (total of angles A, B and C).
Now we need to make relations between these unknown angles.
1. A=B They were described as having the same size;
2. A=2C A and B were described as being twice as big as C, so we would need two times C to equal A;
3. A+B+C = 360° Which we figured out earlier.
Since B=A we can replace B in the third equation :
A+A+C = 360°
2A+C = 360°
We also know that A=2C :
2(2C)+C=360°
4C+C=360°
5C=360°
We solve for C :
C=72°
Now that we know the value of angle C, we can work our way up towards angles A and B.
A=2C
A=2(72°)
A=144°
B=A
B=144°
We can verify our values to see if it all makes sense.
Is A+B+C=360° still true?
144°+144°+72°=360°
360°=360°
Thus, angles A, B and C are respectively 144°, 144° and 72°.
Lets try to draw a line here, now, I can draw the tick marks but you can imagine them that there are above the numbers
__________F________________________________________________
-10 -9 -8 <u><em>-7</em></u> -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 1 0
the answer is C
