In the diagram below, overline AE cong overline BE overline DE cong overline DC and m angle D=32^ . Find m angle A .

Step-by-step explanation:

since the triangle CDE is an isoceles triangle (the 2 legs DC and DE are equally), the 2 angles at its baseline CE are equal.

combined with the fact that the sum of all angles in a triangle is always 180 degrees we can therefore say :

180 = 32 + 2× base angle

148 = 2× base angle

base angle = 74 degrees.

the angle DEC is one of these base angles and therefore 74 degrees.

and because of the symmetry of angles of crossing lines, this is equal to the angle AEB.

the triangle AEB is also an isoceles triangle. the angle A is one of its base angles at the baseline AB.

so, the same principle as before :

180 = 74 + 2× base angle

106 = 2× base angle

base angle = 53 degrees.

so, angle A is 53 degrees.

replication and blocking

step-by-step explanation:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).