The vertices of an isosceles triangle are a (-10, 1), b (-6, 3) and c (-4, 7). what is the equation of the triangle's line of symmetry? y = - x - 3 y = - x + 3 y = x + 3 y = x - 3

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.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1