Answer:
Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)
Step-by-step explanation:
You first have to find the midpoints of AC and AB.
AC X coordinate:
X1+X2/2
Substitute the x points of AC in
1+(-5)/2=-2
AC Y coordinate:
Y1+Y2/2=3
Substitute the y points of AC in
5+1/2=3
You do the same thing with the AB line. I am pretty sure this works and I hope this helps!
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Hope this helps :)
Answer:
65
Step-by-step explanation:
You find the one equally in the center of the numbers after they are in order.
Answer:
- <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>
Explanation:
<u>1. Vertices of triangle FGH:</u>
- F: (-2,1)
- G: (-3,3)
- H: (0,1)
<u>2. Vertices of triangle F'G'H':</u>
- F': (-8,-4)
- G': (-12,-12)
- H': (0, -4)
<u>3. Solution:</u>
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:
- Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)
(0,1) → 4(0,1) = (0,4)
- Rule for a reflection across the x-axis:{ (x,y) → (x, -y)
(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
- Dilation by a scale factor of 4: multiply each coordinate by 4
4(-2,1) → (-8,4)
4(-3,3) → (-12,12)
- Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate
(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>
1000 is our constant because the truck was only used one day. We also know they charge a certain amount per hour, but we do not know how much. In this case they charged that amount 9 times because the truck was used for 9 hours. The total of the constant plus the 9hour fee is 2700 dollars:
1000(1) + 9x = 2700
The reason we multiply 1000 by 1, is because we only used the truck for one day.
Solve for x
9x = 2700 - 1000 = 1700
X = 1700/9 = 188.88
The hourly fee is $188.88
The question is asking for an equation for hours of use though, so the answer is
1000(1) + 9(188.88) = C
C represents cost or charge.
