The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem. an alternative proof of this construction is shown below. complete the proof

Statements:

5. Angle CAD is congruent to angle DCA;

Angle DAE is congruent to angle AED

11.Angle ADC and Angle EDA are supplementary

18.Angle CAE is 90 degrees

20.AE is perpendicular to AC

Reasons:

3.Definition of isosceles triangle

4.Sum of interior angles of a triangle is 180 degrees.

9.Subtraction

16.Definition of complementary angles

21.Converse of Radius-Tangent Theorem

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions