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scoray [572]
3 years ago
7

Huntington Park officials approved a rectangular plot of land for a Japanese Zen garden. Is it sufficient to know that opposite

sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular? Explain
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer: No, it is not sufficient to know that opposite sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular.


Step-by-step explanation:

1. You have the following information given in the problem:

- Opposite sides of the garden plot are congruent.

- Opposite sides of the garden plot are parallel.

2. Therefore, keeping the information above on mind, you can conclude that the description is about a parallelogram, but to determine that it is rectangular, you need to know that the four interior angles measure 90° and the diagonals are congruent.


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Help Please, anyone good at domain values of composite functions.
Delicious77 [7]

Answer:

second choice

Step-by-step explanation:

(f \circ g)(x) =

= f(g(x))

= f(-7x + 7)

= \sqrt{-7x + 7 + 3}

= \sqrt{-7x + 10}

Let x = 5:

(f \circ g)(5) = \sqrt{-7(5) + 10}

(f \circ g)(5) = \sqrt{-35 + 10}

(f \circ g)(5) = \sqrt{-25}

Since using x = 5 gives the square root of a negative number, 5 is not in the domain of the composition of the functions.

Answer: second choice

3 0
3 years ago
Can anyone help me on this I would appreciate it
kaheart [24]

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

3 0
3 years ago
Read 2 more answers
The four hand of a clock moves from 12 to 5 o'clock through how many degrees does it move?
julsineya [31]
To find the answer you have to first find how many degrees are there in between each number in the clock. the clock is 360°degrees and there are 12 numbers marked in a clock., so you have to divide 360 by 12 to get the number of degrees in between each number,
360°÷12=30° so there are 30°degrees between each number. 

if a clock hand moves from 12 to 5, it pass 5 numbers, so to get your final answer you have to multiply 30° by 5=150°.

so your answer is 150°degrees.
hope you can understand what i said. :)
8 0
3 years ago
A punch bowl had 2\dfrac122 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction liters of juice in it. Liam drank \dfrac13 3
8_murik_8 [283]

Answer:

5/6 liters.

Step-by-step explanation:

Given that:

Amount of juice in a punch bowl = 2 * 1/2 liters

= 5/2 liters.

Part of juice drank by Liam from the bowl = 1/3

Amount of juice drank by Liam =

= 5/2 * 1/3 = 5\6 liters.

4 0
4 years ago
Determine all intervals on which f(x) > 0.
8_murik_8 [283]

Answer: [-7, -4]u[0, 3]

4 0
3 years ago
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