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Answer:

The correct choice is the third one.

Step-by-step explanation:

The yearly sales total for mattresses equals 1,330.

The percentage of King size mattresses sold is 30% = 30/100 = 0.3

Now, we need to find the actual sales number using the following formula:

King size mattresses sold = Total mattresses sold in a year * Percentage of King size mattresses sold

King size mattresses sold = 1,330 * 0.3 = 399

King size mattresses sold = 399

Answer:

The correct statements are;

1) ΔBCD is similar to ΔBSR

2) BR/RD = BS/SC

3) (BR)(SC) = (RD)(BS)

Step-by-step explanation:

1) Since RS is parallel to DC, we conclude that;

∠BDC = ∠BRS (Angles formed on the same side of the transversal)

Furthermore;

∠BCD = ∠BSR (Angles formed on the same side of the transversal)

∠CBD = ∠CBD (Reflexive property)

Thus;

ΔBCD ~ ΔBSR by the Angle-Angle-Angle (AAA) similarity criterion.

2) Given that  ΔBCD ~ ΔBSR, we obtain;

BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1

1 + SC/BS = 1 + RD/BR thus, SC/BS = 1 + BR/RD - 1

SC/BS = RD/BR

By inverting both sides we find;

BR/RD = BS/SC

3) From BR/RD = BS/SC, we apply cross multiplication;

BR/RD = BS/SC leads to;

BR × SC = RD × BS → (BR)(SC) = (RD)(BS).

Aubrey's dinner totaled $85. For excellent service, she tips the waitstaff 30%. The tip amount is $25.5. To calculate the tip, we start with the total cost of the dinner, which is $85, and apply the 30% tip rate. So, 30% of $85 is calculated as: Tip = 30% of 85. This results in Aubrey tipping the waitstaff $25.5.