Correct Answer: D. 0

Explanation

∠PQR + ∠PSR = 180o (opp. angles of cyclic quad. are supplementary)

⇒ 5\(x\) - \(y\) + 10 + (-2\(x\) + 3\(y\) + 145) = 180

⇒ 5\(x\) - \(y\) + 10 - 2\(x\) + 3\(y\) + 145 = 180

⇒ 3\(x\) + 2\(y\) + 155 = 180

⇒ 3\(x\) + 2\(y\) = 180 - 155

⇒ 3\(x\) + 2\(y\) = 25 ----- (i)

∠QPS + ∠QRS = 180o (opp. angles of cyclic quad. are supplementary)

⇒ -4\(x\) - 7\(y\) + 150 + (2\(x\) + 8\(y\) + 105) = 180

⇒ -4\(x\) - 7\(y\) + 75 + 2\(x\) + 8\(y\) + 180 = 180

⇒ -2\(x\) + \(y\) + 255 = 180

⇒ -2\(x\) + y = 180 - 255

⇒ -2\(x\) + \(y\) = -75 ------- (ii)

⇒ \(y\) = -75 + 2\(x\) -------- (iii)

Substitute (-75 + 2\(x\)) for \(y\) in equation (i)

⇒ 3\(x\) + 2(-75 + 2\(x\)) = 25

⇒ 3\(x\) - 150 + 4\(x\) = 25

⇒ 7\(x\) = 25 + 150

⇒ 7\(x\) = 175

⇒ \(x = \frac{175}{7} = 25\)

From equation (iii)

⇒ \(y\) = -75 + 2(25) = -75 + 50

⇒ \(y\) = -25

∴ \(x\) + \(y\) = 25 + (-25) = 0

Correct Answer: C. time to complete one oscillation

Correct Answer: A. Ethene

Correct Answer: A) They were forbidden to teach in Jesus' name

Explanation

The apostles made the statement We must obey God rather than men because they were forbidden to teach in Jesus' name. This means that the authorities at that time did not allow the apostles to preach about Jesus or to talk about Him in public. The apostles believed that they had a duty to spread the word of God and share the message of Jesus with others, even if it meant disobeying the authorities. They believed that they were following God's commandments and that this was more important than following the laws of men.

It is important to note that the apostles were not encouraging disobedience or rebellion against the authorities. Rather, they were saying that when there is a conflict between what God commands and what the authorities are saying, they would choose to follow God's commands. This is because, as Christians, they believed that God's commands are always right and just, and that they should always strive to do what is right in the eyes of God.

To learn more about this, please read the relevant sections of the recommended textbooks. It is also important to note that the other options provided in the question are not correct, as they do not relate to the reason why the apostles made the statement.

Correct Answer: B. Benguela

Correct Answer: C. 0

Explanation

\(2\log_{4} 2 = x + 1\)

\(\log_{4} 2^{2} = \log_{4} 4 = 1\)

\(x + 1 = 1 \implies x = 0\)

Correct Answer: C. 15

Correct Answer: D. August

Correct Answer: A. Applet

Correct Answer: A. he loved her

Explanation

1 Samuel 1:5: But to Hannah, he gave a double portion because he loved her, and the LORD had closed her womb.