Supplementary angles add to 180 so x + 128.7 = 180 subtract 128.7 from both sides; therefore, the answer is 51.3
I hope this helps!
Answer:
15
Step-by-step explanation:
3(2+3)=
3(2) + 3(3)=
6 + 9=
6 + 9 = 15
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
x= -18
Step-by-step explanation:
x + 2x + 3(x + 4) = 5x-6
Distribute
x+2x+3x+12 = 5x-6
Combine like terms
6x +12 = 5x-6
Subtract 5x from each side
6x+12 -5x= 5x-6-5x
x+12 = -6
Subtract 12 from each side
x+12-12 = -6-12
x= -18
