Answer:
A=20 degrees
D=70 degrees
E=110 degrees
Step-by-step explanation:
A=20 because a right angle always = 90 so 90-70=20
D=70 because I believe that angles C and D make a right angle, and C = 20 degrees, so we now subtract. 90-20=70
E=110 because D and E = a straight line, which is 180, and sense D is 70 degrees, all we need to do is subtract. 180-70 is 110, so our answer is 110
Hoped this helped, and let me know if I messed up somewhere.
Answer:
15/4
Step-by-step explanation:
The formula for slope is:
(y₂-y₁)/(x₂-x₁)
Now we plug in the coordinates given to us into the equation:
(5-(-10))/(-1-(-5))
15/4
Answer: The required derivative is 
Step-by-step explanation:
Since we have given that
![y=\ln[x(2x+3)^2]](https://tex.z-dn.net/?f=y%3D%5Cln%5Bx%282x%2B3%29%5E2%5D)
Differentiating log function w.r.t. x, we get that
![\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B1%7D%7B%5Bx%282x%2B3%29%5E2%5D%7D%5Ctimes%20%5Bx%27%282x%2B3%29%5E2%2B%282x%2B3%29%5E2%27x%5D%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B1%7D%7B%5Bx%282x%2B3%29%5E2%5D%7D%5Ctimes%20%5B%282x%2B3%29%5E2%2B2x%282x%2B3%29%5D%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B4x%5E2%2B9%2B12x%2B4x%5E2%2B6x%7D%7Bx%282x%2B3%29%5E2%7D%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B8x%5E2%2B18x%2B9%7D%7Bx%282x%2B3%29%5E2%7D)
Hence, the required derivative is 
Billy, let's recall what a linear pair of angles is:
• They are formed when two lines intersect.
,
• Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
,
• The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Upon saying that we have that:
• CAD and DAE are linear pairs
,
• CAD and CAB are linear pairs
,
• DAE and BAE are linear pairs
,
• DAE and DAC are linear pairs
Now, you are ready to select all the options that actually apply.
30, radius is equal to half the diameter, so to get diameter from the radius, multiply the radius by two.