Answer:
B
Step-by-step explanation:
Given that the function h(x) = 2x-9 is translated up 5 united to become a new function, i(x)
To find: Equation of new function
The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input.
Adding to the output of a function moves the graph up
Therefore,
Given function is:
h(x) = 2x - 9
Translated up by 5 units
Therefore, new function is:
i(x) = h(x) + 5
i(x) = 2x - 9 + 5
i(x) = 2x - 4
Thus Option B is correct
The sum of the measures of all the interior angles of the pentagon is 540°. Option B
<h3>How to determine the sum</h3>
Note that
Sum of Interior Angles in a Pentagon = 540°
A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°
If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°
The sum of the interior angles = 108° + 216° = 540°
Therefore, the sum of the measures of all the interior angles of the pentagon is 540°
Learn more about a pentagon here:
brainly.com/question/4222032
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Normally I'd put 0.1176 but since it's to the nearest tenth it is .1
Answer:
Let L be the length of the rectangle and w be the width of the rectangle.
"The lenght of a rectangle is one less than twice the width" means L=2W-1
Using perimeter formula of a rectangle which is P=2(L+W) you have:
P=2(L+W)
130=2(2W-1+W)
Solve equation above to find W
130=2(3W-1)
130=6W-2
130+2=6W
132=6W
W=22
From here you find L=2W-1=2x22-1=43
Only thing left is to find area A=LxW
The other angle would be 110 degrees. This is because a supplementary angle equals 180 degrees. So, 180-70=110<span />