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saw5 [17]
3 years ago
10

In the diagram, PN¯¯¯¯¯ is the perpendicular bisector of AB¯¯¯¯¯ and is also the angle bisector of ∠CPD. If m∠CPD = x, which qua

ntity is equal to sin ∠DPB?
sin x2

sinx2

cosx2

cos x2
Mathematics
2 answers:
zaharov [31]3 years ago
8 0

Since ∠CPD = x and segment PN is the angle bisector of this angle, therefore segment PN equally divides ∠CPD into two angles. Which means that:

∠CPN = ∠NPD = x / 2

Further, segment PN is also the perpendicular bisector of AB which further means that the intersection formed by PN and AB creates a right angle (90°). Therefore:

∠NPD + ∠DPB = 90°

x/2 + ∠DPB = 90°

∠DPB = 90 – x/2

Therefore:

sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>

However we know that the relationship of sin and cos is:

sin(π/2 - θ) = cos θ

Where,

π/2 = 90

θ = x/2

Therefore:

sin(90 – x/2) = cos(x/2)

 

Answer:

<span>cos(x/2)</span>

igor_vitrenko [27]3 years ago
6 0

Answer:

cox (x/2)

explanation:

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Answer:

216

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The Porter family used an online family budget estimator to compare the costs of living in Baltimore and San Francisco for a fam
alexandr402 [8]

The cost of living in San Francisco, California is greater than the cost of living in Baltimore.

Given that

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Where is the cost of living higher?

According to the question

Cost of living is the amount of money needed for fixed expenses such as housing, food, taxes, and health care, as well as variable expenses.

Big cities tend to have a higher cost of living than smaller cities.

From a business perspective, we need to consider the cost of living and rent index (considering they will rent in both cities) difference in response to net earnings.

According to recent statistics, the cost of living in Baltimore is about 40 percent lower than in San Francisco.

Also, it should be noted the Porter Family would have to earn quite more than they do in Baltimore before they can maintain the same standard of living.

Supposing Porter's family is earning $50,000 in Baltimore, they would need about $89,000 to maintain the same lifestyle they lived in Baltimore.

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