Scientific notation would be:
2.46315 * 10^7
Answer:
The two triangles to the right with the angle measures 53 and 37.
Step-by-step explanation:
We first need to make an equation that we can use to find the value of X. since we know that the interior angles of a triangle add up to 180 degrees we can create this,
2x-21+x+90=`180
In order to solve this, we need to isolate the variable. We can do this by adding 21 to each side then subtracting 90 from each side,
3x=111
next, we divide 11 by 3 to get the value of x alone.
x=37
we can now plug ex in to find the measures of the angles. when we do that we see the angles measure 90,37, and 53 degrees. these values match with the angle measure of the two triangles on the right side of the picture.
check the picture below.
so, those are the points, now, the line of symmetry, the red one, is the line that will cut the vertex is half and will be perpendicular to the opposite side.
now, the slope of the black line we can just get it off the grid, notice the rise and run, rise/run = 6/6 = 1.
now a perpendicular line to that one will have a negative reciprocal slope, thus
so the slope of that perpendicular line will be -1, so we're really looking for the equation of a line whose slope is -1 and runs through -6,3.
![\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad \qquad \qquad slope = m\implies -1 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=-1[x-(-6)] \\\\\\ y-3=-1(x+6)\implies y-3=-x-6\implies y=-x-3](https://tex.z-dn.net/?f=%20%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-6%7D~%2C~%5Cstackrel%7By_1%7D%7B3%7D%29%5Cqquad%20%5Cqquad%20%5Cqquad%20%20slope%20%3D%20%20m%5Cimplies%20-1%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-3%3D-1%5Bx-%28-6%29%5D%20%5C%5C%5C%5C%5C%5C%20y-3%3D-1%28x%2B6%29%5Cimplies%20y-3%3D-x-6%5Cimplies%20y%3D-x-3%20)
