The area of a parallelogram = base(b) × height(h)
Here the base value = 12.0 in
while the value of the height is not given but the angle of the base with it adjacent side is given that is here 45°
Let the magnitude of height or altitude be x
So the value of x can be find out by trigonometry
Here we can write tan(45°) = x/6.5 in
then the value of tan(45°) = 1
so 1 × 6.5 = x
therefore the value of x= 6.5
Now we can find the area of the parallelogram such that base × height = (6.5×12) in^2 = 78.0 in^2 (ans)
Hope it helps
(x+3)/3 = (y+2)/2
Note: please add parentheses so you don't cause confusion. x+3/3 is totally different from (x+3)/3
2(x+3) = 3(y+2)
2x+6 = 3y+6
2x=3y
x = 3y/2
x/3 = (3y/2)/3 = y/2
X=10
First, remove the parentheses so it could turn into 150-2x-90=4x (the plus sign gets turned into a minus sign because of a certain rule.
Then do 150-90 which will result in 60-2x=4x.
Then subtract -4x on both sides. This will leave you with 60-6x=0.
Next, subtract 60 in both sides. This will leave you with -6x=-60.
Finally, divide by -6 on both sides. This will leave you with the answer x=10.
65+90=155
180-155=25
180-25=155
180 because it is the angle of a straight line
180 because it is the total angle of a triangle
