Answer:
AAA (angle-angle-angle) similarity theorem
Step-by-step explanation:
The two given triangles PSR and XYZ, are similar.
And all their angles are also similar.
We can conclude, that both are similar based on AAA similarity theorem.
The AAA (angle-angle-angle) similarity theorem states that two triangles have their corresponding angles equal, if and only if their corresponding sides are proportional.
XZ is proportional to SR. XY is proportional to SP and YZ is proportional to PR.
Answer: P: 6x - 6 + (pi * x/2) A: 3x^2 - 3x - (pi * (x^2)/4)
Step-by-step explanation:
The missing section is a quarter of a circle. It is the same length at 90 degrees difference following an arc. This radius is X, same as the smaller length of the rectangle. The longer length of the rectangle is 2x-3+x, or 3x-3.
Area: Rectangle area is X * (3x-3) or 3x^2 - 3x. Subtract the missing piece. The full area of the circle would be pi * x^2. Divide by 4 for a quarter circle. So the full area would be 3x^2 - 3x - (pi * (x^2)/4).
Perimeter. x + 2x-3 + 3x-3 + the arc. The arc is a quarter of the circle's circumference. pi * 2x over 4. So total perimeter would be 6x-6 + (pi * 2x/4 or pi * x/2).
Just my best guess tho
Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.
11 is a prime with factors 1 and 11.
Therefore, if the area of a (rectangular) garden is 11 square feet, then the possible dimension of the garden is 1 feet by 11 feet.
Answer:
3: 0.625
4: 2.2
7: 1.083
8: 4.285
11: 1.1
12: 0.08
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
