Answer:
B,D and E
Step-by-step explanation:
E is the last option.
(4,3) shows how 3 is above the x-axis.
Answer:
SAS
Step-by-step explanation:
The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.
It is not SSS because we do not know the side lengths of FG and BC.
It is not AA because we do not know two angle measurements.
The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².
For the rectangular pen, we want the sides to be congruent. To minimize perimeter and maximize area, the figure needs to be equilateral.
400/4 = 100 m for each side
This means that the area is 100(100) = 10,000 m².
If the pen is circular, this means the circumference is 400 m. Circumference is given by the formula C=πd:
400 = 3.14d
Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d
The radius is half of the diameter:
r = 127.389/2 = 63.6945
The area of the circle is given by A=πr²:
A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²
Bill's Statement is Sometimes true.
Bill's statement is only true if 1 or both of the variables are positive but if both r and s are negative then it will be located on the left of r. Ex. r=-1 s=-2 (-1)+(-2)=-3
Work: -4y+3=19
Subtract 3 on both sides.
-4y=16
Divide -4 by -4 on both sides
y= -4