50 !
consider the picture below. find the measure of ∠a

103°

Step-by-step explanation:

∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.

Vertically opposite angles are angles that form when two lines intersect

From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning

∠CEA=∠DEB and ∠CED=∠AEB

Replacing ∠CED=∠AEB, we get

(14x+7)°=(12x+17)°

Solve for x

(14x-12x)=17-7

2x=10

x=10÷2=5

value for x in ∠CED=∠AEB, we get (14×5)+7=77°

To calculate ∠CEA and ∠DEB

Let ∠CEA=∠DEB=y

∠DEA=180°since its a straight line therefor

(14x+7)°+y=180°

77+y=180

y=∠CEA=∠DEB=103°

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: