The length of the rectangle is 7 and the width is 3.
Answer:
35° , 40° , 105°
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180° , then
3x + x + 40 = 180 , that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
3x = 3 × 35 = 105
the 3 angle measures are 35° , 40° , 105°
2x-15=3(x-15)
2x-15=3x-45
2x+30=3x
30=x
Let's check this work!
2(30)-15=3(30-15)
60-15=3(15)
45=45
She worked 45 hours each week
*the reason it is 2x-15 and not 15+2x is because "more than" is considered a "turn around word" meaning it is the opposite
R = kp/st
18 = 12k/(1/6 x 2)
18 = 12k/(1/3)
18 = 36k
k = 18/36 = 1/2
For this case we find the slopes of each of the lines:
The g line passes through the following points:

So, the slope is:

Line h passes through the following points:

So, the slope is:

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:

Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.