Answer:
x =2
Step-by-step explanation:
The system has one solution.
If he can do 45 pages in 25 hours just divide the two 45/25=1.8 or round it to like 2
The first 5 terms of the arithmetic sequence with first term -10 and common difference -12 are ...
-10, -22, -34, -46, -58
Answer:
![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Step-by-step explanation:
Equation of the line CD is given as ![\[y=-2x-2\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x-2%5C%5D)
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
![\[y=-2x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2Bc%5C%5D)
But this line passes through (4,5)
Substituting the values in the equation:
![\[5=-2*(4)+c\]](https://tex.z-dn.net/?f=%5C%5B5%3D-2%2A%284%29%2Bc%5C%5D)
=> ![\[c=5+8=13\]](https://tex.z-dn.net/?f=%5C%5Bc%3D5%2B8%3D13%5C%5D)
So the overall equation of the parallel line is given by
Answer:
60°,60° and 60°.
Step-by-step explanation:
The sum of the interior angle of a triangle
=180°
So, let us test measured sets to get which of them could be the interior angles of a triangle.
The sum of the first measured set
= 90° + 42° + 58°
=190°
Also, the sum of the second measured set
= 60°+ 60° + 60°
=180°
The sum of the third measured set,
= 100°+ 48° + 43°
=191°
Finally, the sum of the fourth measured set
= 31° + 75°+ 70°
=176°
We can clearly conclude that, the measured set 60°,60°and 60° could only be the the set of interior angles of a triangle. Since it is the only set that add up to 180°
