Answer:
The correct options are;
1) ΔBCD is similar to ΔBSR
2) BR/RD = BS/SC
3) (BR)(SC) = (RD)(BS)
Step-by-step explanation:
1) Given that RS is parallel to DC, we have;
∠BDC = ∠BRS (Angles on the same side of transversal)
Similarly;
∠BCD = ∠BSR (Angles on the same side of transversal)
∠CBD = ∠CBD = (Reflexive property)
Therefore;
ΔBCD ~ ΔBSR Angle, Angle Angle (AAA) rule of congruency
2) Whereby ΔBCD ~ ΔBSR, we therefore have;
BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1
1 + SC/BS = 1 + RD/BR = SC/BS = 1 + BR/RD - 1
SC/BS = RD/BR
Inverting both sides
BR/RD = BS/SC
3) From BR/RD = BS/SC the above we have by cross multiplication;
BR/RD = BS/SC gives;
BR × SC = RD × BR → (BR)(SC) = (RD)(BR).
Answer: The area of the triangle is 24 square inches
Step-by-step explanation:
Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:
Area of a triangle; (base x height) /2
Replacing with the values:
A = (8x6 )/2
A = 48 /2
A = 24 square inches
The area of the triangle is 24 inches
Feel free to ask for more if needed or if you did not understand something.
Answer:
The equation that models this scenario 
Step-by-step explanation:
First we convert 50 cent into dollar,
1 cent =
dollar
1 cent = 0.01 dollar
50 cent = 0.5 dollar
According to question,
x is the number of 50¢=$0.5 price increases.
b(x) is the revenue generated
He currently charges $3 per book.
i.e. price of book = 3+0.5x
Quantity or average = 38 per day
According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.
i.e. quantity became 38-4x
Revenue = Price × Quantity
The required equation is given by,

Answer:
Yes, as there are 2 terms: x2 and a