10

ac = ad, ab perpendicular to bd, m angle dac = 44 degrees and ce bisects angle acd. find m angle dec.

angle dec =

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

According to the angle sum property, the sum of interior angles of a triangle is 180°.

Divide both sides by 2.

CE bisects ∠ACD.

Use angle sum property in triangle CDE,

Subtract 102 from both sides.

Therefore, the measure of angle DEC is 78°.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )