Step-by-step explanation:
Line is passing through the points:
Equation of line in two point form is given as:
Triangles internal angles will always equal 180 degrees.
So, with that being said we can add up the known angles and subtract them from 180 to get our missing angle
28+67 = 95
180-95 = 85
so angle P is 85 degrees
The given graph is a straight line passing through points (-4, -3) and (1, 5)
Equation in point slope form is y + 3 = (5 - (-3))/(1 - (-4)) (x - (-4))
y + 3 = 8/5(x + 4)
y + 3 = 8/5x + 32/5
y = 8/5x + 32/5 - 3
y = 8/5x + 17/5
Multiplying through by 5 gives
5y = 8x + 17
-8x + 5y = 17
Options B and C are the correct answers.
The store owner sold 4/5 of the suitces. That means 1/5 of the suitcases are left. Multiple 225 to 1/5
There are 45 suitcases left
Answer: (8,8)
Step-by-step explanation:
First you need to get a x or y by itself.
I choosed to get y by itself since it would be faster.
-2x + y = -8 (first get -2x to the other side so add 2x)
y = -8 + 2x (then you want to insert that to the other equation)
-x + 4( -8 +2x) = 24 -> -x -32 + 8x = 24 -> 7x -32 = 24
(add 32 to the other side)
7x = 56 (divide 7 to 56 to get x) x = 8
now insert into the other equation
-2( 8 ) + y = -8 -> -16 + y = -8 ( move -16 to the other side, so add 16)
then you get your answer, y= 8
