"“We declare unto you glad tidings,” the apostle continued, “how that the promise which was made unto the fathers, God hath fulfilled the same unto us their children, in that He hath raised up Jesus again; as it is also written in the second psalm, Thou art My Son, this day have I begotten Thee. And as concerning that He raised Him up from the dead, now no more to return to corruption, He said on this wise, I will give you the sure mercies of David. Wherefore He saith also in another psalm, Thou shalt not suffer Thine Holy One to see corruption. For David, after he had served his own generation by the will of God, fell on sleep, and was laid unto his fathers, and saw corruption: but He, whom God raised again, saw no corruption.” AA 172.1"
"God hath fulfilled the same unto us their children, in that he hath raised up Jesus again; as it is also written in the second psalm, Thou art my Son, this day have I begotten thee."
The EGW passage directly quotes and references Acts 13:33, which itself quotes Psalm 2. This is a clear and direct allusion.
"preached unto them repentance and the remission of sin through the merits of Jesus their Saviour. “Be it known unto you,” he said, “that through this Man is preached unto you the forgiveness of sins: and by Him all that believe are justified from all things, from which ye could not be justified by the law of Moses.” AA 172.2"
"Be it known unto you therefore, men and brethren, that through this man is preached unto you the forgiveness of sins:"
The EGW passage directly quotes Acts 13:38. This is a clear and direct allusion.
"The Spirit of God accompanied the words that were spoken, and hearts were touched. The apostle's appeal to Old Testament prophecies, and his declaration that these had been fulfilled in the ministry of Jesus of Nazareth, carried conviction to many a soul longing for the advent of the promised Messiah. And the speaker's words of assurance that the “glad tidings” of salvation were for Jew and Gentile alike, brought hope and joy to those who had not been numbered among the children of Abraham according to the flesh. AA 172.3"
"Then Peter opened his mouth, and said, Of a truth I perceive that God is no respecter of persons: But in every nation he that feareth him, and worketh righteousness, is accepted with him."
Both passages emphasize that salvation is available to all, regardless of their background. The EGW passage highlights the inclusion of Gentiles, while Acts 10:34-35 states God is no respecter of persons. The connection is thematic and meaningful.