Iwill award

given:
ab ≅ bc and ae = 10 in,
m∠fec = 90°

m∠abc = 130°30'

find: m∠ebc, ac

∠° and

Step-by-step explanation:

Given:

≅

From the given Data, we can conclude the following:

1. Since two sides of the triangle ABC are congruent, therefore its an isosceles triangle.

2. °. This shows that the line BE is perpendicular to AC. By property of isosceles triangle, the line which passes from the vertex of the largest angle of triangle and cuts the opposite side(base) perpendicularly is the perpendicular bisector of the side and angle bisector of the angle.

∴      [ Definition of Angle bisector]

∴       [ Definition of perpendicular bisector]

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!