Answer:
a. 16
Step-by-step explanation:
Triangles = 180 degrees
180 - 80 = 100
100 = (4x - 4) + (0.5x + 32)
4x - 4 + 0.5x + 32 =100
(4x + 0.5x) +(-4 + 32) = 100
4.5x + 28 = 100
4.5x + 28 -28 = 100 - 28
4.5x = 72
4.5x/4.5 = 72/4.5
x = 16
See the attached picture for explanation and steps:
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Answer:
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Answer:
Possible derivation:
d/dx(a x + a y(x) + x a + y(x) a)
Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):
= d/dx(2 a x + 2 a y(x))
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))
The derivative of x is 1:
= 2 a (d/dx(y(x))) + 1 2 a
Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):
= 2 a + d/dx(x) y'(x) 2 a
The derivative of x is 1:
= 2 a + 1 2 a y'(x)
Simplify the expression:
= 2 a + 2 a y'(x)
Simplify the expression:
Answer: = 2 a
Step-by-step explanation: