Answer:
1824 square inches
Step-by-step explanation:
First, separate the figure into two sections. The triangle on top, and the rectangle on the bottom.
to get the area of the triangle, simply multiply height times width and divide by two.
48 x 12 = 576
576/2 = 288
the area of the triangle is 288 sq in
next, multiply the height and width of the rectangle to get its area.
32 x 48 = 1536
add 1536 to 288 to get the area of the complete figure
1536 + 288 = 1824
the answer is 1824 square inches
Y = -1 is a horizontal line going through "-1" on the y axis
Note that the point (1,2) is exactly 3 units of distance above the line y = -1
When we reflect across this line, the point (1,2) will just move straight down to exactly 3 units of space below the line y = -1. Since we are not shifting left or right, the x coordinate of our original point will not change. The y coordinate of our original point will now need to be reduced by 6(3 units down to get to the line of reflection and then 3 more down to get to the image location)
The coordinates of the image point will be (1, -4)
Now we need to do the same process with (1, -4) being reflected across y=1
Note (1,-4) is 5 units of distance below the line y = 1 , so we need to reflect the point upward so that the image point is located exactly 5 units of distance above the line y = 1 Again, the x coordinate does not change, and our final image coordinates are (1, 6)
I guess more simply stated, if you're just looking for the number in the green box it would be " 1 " .. Reflecting points across horizontal lines only result in changes of the "y" coordinate since there is no shift left or right.
Answer:
Depending on the type of triangle you form, the interior angles will either decrease or increase.
Step-by-step explanation:
if you move the vertices to form an equilateral triangle then the interior angles will change to 60°, 60°, 60° because all interior angles of an equilateral triangle are the same and the sum of the interior angles of any triangle always add of to 180°