Answer:
Square
Step-by-step explanation:
Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.
1. Find all sides lengths:
All sides have the same lengths.
2. Find the slopes of all lines:
Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.
The slopes 
and 
have the product of
then lines are pairwise perpendicular.
This means PQRS is a square.
Answer:
10,11,aquarium
Step-by-step explanation:
Answer:
No. The ladder is too steep.
Step-by-step explanation:
Length of ladder = 17 feet. This is the hypotenuse.
Side a of a right triangle = 16.6
To answer this, you need one of the trigonometric functions.
Opposite = 16.5
hypotenuse = 17
The function you need is the sine function.
Sin(theta) = opposite / hypotenuse
sin(theta) = 16.5 / 17
Sin(theta) = 0.97059
theta = sin-1(0.07059)
theta = 76.07
No the ladder is too steep.
To determine which system of equations would have the same solution, we evaluate each system of equations.
System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11
<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7
System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17
System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7
</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.
4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4</span>
