4 10/7 as an improper fraction in 38/7
Answer:
The coordinates of P are (1,3.5)
Step-by-step explanation:
Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
where in this case m = 1, n = 3
(x1,y1) = (-1,2)
(x2,y2) = (7,8)
Thus, we have ;
(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)
(x,y) = (-3+7)/4 , (6 + 8)/4
(x,y) = 4/4, 14/4
(x,y) = (1,3.5)
Multiply both sides by 4, making it
-x<8
Switch the signs as you make 8 negative and x positive
x>-8
(Make sure to make the signs greater and less than or equal to
Answer:
It took him 6.75 hours
or 6 hours and 45 minutes
Step-by-step explanation:
The first two hours he travels
50 mi/h *2 h = 100 mi
then a 15 min break
then 2 more hours
50 mi/h *2 h = 100 mi
then a 30 min break
then 2 more hours
50 mi/h *2 h = 100 mi
Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
