Given: angle a b c and angle f g h are right angles; line segment b a is parallel to line segment g f; line segment b c is-congruent-to line segment g h
prove: triangle a b c is-congruent-to triangle f g h

triangles a b c and f g h are shown. triangle f g h is slightly lower and to the left of triangle a b c. lines extend from sides b a and g f to form parallel lines. another line connects points f and c. angles a b c and f g h are right angles. sides b c and g h are congruent.

step 1: we know that angle a b c is-congruent-to angle f g h because all right angles are congruent.
step 2: we know that angle b a c is-congruent-to angle g f h because corresponding angles of parallel lines are congruent.
step 3: we know that line segment b c is-congruent-to line segment g h because it is given.
step 4: triangle a b c is-congruent-to triangle f g h because of the

asa congruence theorem.
aas congruence theorem.
third angle theorem.
reflexive property.

lo.lll

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180