Answer:
x=12 ADB= 56 BDC= 54
Step-by-step explanation:
ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation
(3x+10) + (4x-4) = 90
I combined like terms to give me 7x+6=90
Then I subtract 6 from both sides giving me 7x=84
Last I divide 7 on both sides. x=12
Then I input the x (12) into the equation and solve it from there
3(12)+10 and 4(12)-4
3(12)+10=56
4(12)-4=54
. . . I think. Hope this helps!
Answer:
x = 67.5 ft
Step-by-step explanation:
In ΔNMP
∵ AB // NP
∴ m∠ MAB = m∠MNP
∴ m∠MBA = m∠MPN
∵ ∠M is a comman angle
∴ ΔMAB is similar to ΔMNP
∴ MA/MN = MB/MP
∵ MA = 71.5 - 22 = 49.5
∴ 49.5/71.5 = x/97.5
∴ x = 
= 67.5
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 6x + 10y = 8 into this form by subtracting 6x from both sides
10y = - 6x + 8 ( divide all terms by 10 )
y = - 
x + 
← in slope- intercept form
with slope m = - → C
Answer:
240 inches squared.
Step-by-step explanation:
To find the surface area, find the area of each triangle and the square. Then add all the areas together.
Triangle - A = 1/2bh where b = 8 and h = 11. So the area of 1 triangle is A = 1/2*8*11 = 44. Since there are 4 triangles then 4*44 = 176 inches squared.
Square - A = s^2 where s = 8. So the area of the square is A = 2^2 = 8^2 = 64.
So all the areas add together to 176 + 64 = 240.
