Hey there!
2x + 1 < 5
SUBTRACT 1 to BOTH SIDES
2x + 1 - 1 < 5 - 1
SIMPLIFY IT!
2x < 5 - 1
2x < 4
DIVIDE 2 to BOTH SIDES
2x/2 < 4/2
SIMPLIFY IT!
x < 4/2
x < 2
Therefore, your answer is: x < 2
(The graph is down below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
- The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
- <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)
- Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
- Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
- Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)
- <u>Translation 1 unit down</u>: (x,y) → (x, y-1)
- (-11,2) → (-11, 2 - 1) = (-11, 1)
- (-9,7) → (-9, 7 - 1) = (-9, 6)
- (-7, 2) → (-7, 2 - 1) = (-7, 1)
- <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)
- (-11, 1) → (-11, -1), which are the coordinates of vertex X"
- (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
- (-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
Answer:
YZ=16
Step-by-step explanation:
Because they are parallel
This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building
x=200
200√3≈346.41
the answer is 346.41 feet
The amount of paint that would be contained in each of the can would be 8.
<h3>How to solve for the amount of paint.</h3>
Using the information in the question we have the following
We have to solve the equation as
(2 1/2) + 2(4) + 1(5 1/2) =
2.5 + 8 + 5.5
= 16
Each of these would have to hold 16/2 = 8 pints.
Read more on line plots here:
brainly.com/question/8989301
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