Correct Answer: B. 2:1

Explanation

From the diagram, XYZQ is a parallelogram. Thus, |YZ| = |XQ| = |PX|; \(\bigtriangleup\)PXY, Let the area of XYZQ = A₁, the area of \(\bigtriangleup\)PXY

= Area of \(\bigtriangleup\)YZR = A₂

Area of \(\bigtriangleup\)PQR = A = A₁ + 2A₂

But from similarity of triangles

\(\frac{\text{Area of PQR}}{\text{Area of PXY}} = (\frac{PQ}{PX})^2 = (\frac{QR}{XY})^2\)

\(\frac{A}{A_2} = (\frac{2}{1})^2 = \frac{2}{1}\)

A = 4A₂ But, A = A₁ + 2A

A₁ = 4A₂ - 2A₂

A₁ = 2A₂

\(\frac{A_1}{A_2}\) = 2

A₁:A₂ = 2:1

Area of XYZQ:Area of \(\bigtriangleup\)YZR = 2:1

Explanation

(a) Taxable income = \(N150,000 - N40,000 = N110,000\)

Tax payment = \(N110,000 \times 0.25 = N27,500\)

Income left = \(N(150,000 - 27,500) = N122,500\)

(b) \(% gain = \frac{\text{actual profit}}{\text{cost price}} \times 100%\)

= \(\frac{SP - CP}{CP} \times 100%\)

\(\therefore \frac{75 - CP}{CP} = \frac{30}{100} \implies 0.3CP = 75 - CP\)

\(1.3CP = 75 \implies CP = N57.69\)

Total cost price = \(650 \times \frac{750}{13} = N37,500\)

350 copies sold at N75 ==> \(SP = 350 \times N75 = N26,250\)

300 copies sold at 5% discouunt ==> \((75 - \frac{5}{100} \times 75) \times 300\)

= \((75 - 3.75) \times 300 = N21,375\)

Total selling price = \(N(26,250 + 21,375) = N47, 625\)

Profit = \(N(47,625 - 37,500) = N10,125\)

\(% = \frac{10,125}{37,500} \times 100% = 27%\)

Correct Answer: D. aves

Correct Answer: B. a retailing business

Correct Answer: D) encounter difficulties

Explanation

This question is testing your understanding of the mission of the seventy as recorded in the Bible. Jesus told the seventy that they were being sent out as sheep among wolves. This means that they were being sent into a world that was hostile to their message and could potentially harm them.

The question is asking you to select the option that best describes the implication of Jesus' statement. Option A, which states that the seventy were being sent to live among wolves, is not correct. They were not being sent to live among wolves but to preach the gospel and heal the sick.

Option B, which suggests that the seventy were to be as meek as sheep, is also not the correct answer. Although the seventy were to be humble and gentle in their approach, Jesus was warning them of the dangers they would face.

Option C suggests that the seventy were to be properly equipped for the mission, but this is not the implication of Jesus' statement. The correct answer is option D, which states that the seventy were going to encounter difficulties. This is because they were being sent out into a hostile world, and Jesus was warning them of the challenges they would face.

In summary, the correct answer to this question is option D, which explains the implication of Jesus' statement to the seventy. To learn more about this, please read the relevant sections of the recommended textbooks.

Correct Answer: A. Good Samaritan

Correct Answer: A. Act of removing the guilt and penalty of sin while making a sinner righteous through Christ atoning sacrifice

Correct Answer: D. \(\frac{5}{18}\)x

Explanation

x kmh^-1 = y ms^-1

\(\frac{x km}{1 hr}\) = y ms^-1

\(x \times \frac{1km}{1hr}\) = y ms^-1

\(x \times \frac{1000m}{60 \times 60s}\) = y ms^-1

\(x \times \frac{1000}{3600} \frac{m}{s}\) = y ms^-1

\(x \times \frac{5}{18} ms^{-1}\)

\(x \times \frac{5}{18} ms^{-1}\) = y ms^-1

y = \(\frac{5}{18}\)x

Correct Answer: D. x <8

Explanation

\(\frac{1}{3}(2x - 1) < 5\)

\(2x - 1 < 15\)

\(2x < 16\)

\(x < 8\)

Correct Answer: B. hand