Constructing an a circle inscribed in a triangle involves these steps:
i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O
ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.
iii) Draw a circle with center the incenter, and radius the distance OT.
Answer: B) Only perpendicular bisectors are not involved.
Answer:
C. 1.5w^2 + 7.5w + 9
Step-by-step explanation:
Without frame:
The width is w. The height is 1.5w.
With frame:
The width is w + 1.5 + 1.5 = w + 3
The height is 1.5w + 1.5 + 1.5 = 1.5w + 3
The area of the framed portrait is height * width
area = (1.5w + 3)(w + 3)
area = 1.5w^2 + 4.5w + 3w + 9
area = 1.5w^2 + 7.5w + 9
When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32
twice as old 32*2 = 64
The father will be 64.
Step-by-step explanation:
Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Answer:
C
Step-by-step explanation: