If the width is w and the length is l, then 2w-2=l and 2w+2l=72 (using the perimeter equation). Plugging 2w-2 in for l, we get 2w+(2w-2)*2=72 and 6w-4=72. Adding 4 to both sides, we get 6w=76. After that, we divide both sides by 6 to get 74/6=w. Since l=2w-2=136/6, we get (136/6)(74/6)=656.75=area
First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°
(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
Answer:
I kept coming up with $3.56
Step-by-step explanation:
Answer: P ( 3/2, - 1 )
Step-by-step explanation: the formulae that defines the midpoint of a line is given below as
x = (x2 + x1)/2 and y = (y2 + y1)/2
Where x and y are the coordinates of the mid point.
Point A is (-1, 5) hence x1 = - 1 and y1 = 5
Point B is (4, -3) hence x2= 4 and y2 = - 3
For x coordinate, we have that 4 + (-1)/2 = 4 - 1/ 2 = 3/2
For y coordinate, we have that - 3 + 5 / 2 = - 2/2 = - 1
Hence, coordinate of midpoint is P ( 3/2, - 1 )
