Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
given:
∠c, ∠f are rt. ∠'s; ac = df; ∠b = ∠e
hl
ll
ha
la

Name of postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

are right triangle,

From the figure,

are right angle triangle.

And

                { congruence rule}

Hence, Name of postulate or theorem that supports the conclusion that the triangles are congruent Angle-side-Angle.

Learn more about Congruency of triangle here:

link

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.