Answer:
40 feet by 80 feet.
Step-by-step explanation:
If the length is L and the width is W, we have:
L = 2W.
So as the length of the fencing is 160 feet:
L + 2W = 160
Substituting for L:
2W + 2W = 160
W = 40 feet.
L = 2W = 80 feet.
Answer:
Step-by-step explanation:
Top Problem:
Reason:
1. Given
2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)
3. Vertical angles are congruent
4. SAS (Side ZP≅XP Angle ZPY ≅ WPX Side WP≅YP)
Bottom Problem
Reason:
1. Given
2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)
3. Definition of angle bisector
4. Reflexive Property ( a line segment is congruent with itself)
5. ASA (Angle Side Angle Theorem of Congruency)
ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
![f(x) = \sqrt[3]{x - 6} + 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%206%7D%20%20%2B%205)
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
Answer:
True.
Step-by-step explanation:
A data set can have the same mean, median, and mode.
Four hundred eighty-five thousand eight hundred thirty