Write the equation for the perpendicular bisector of the given line statement a) y= x+1 b) y= -x +1 c) y= -x+3 d) y= -x+4

C

Step-by-step explanation:

Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the line, we count the rise/run which is 1/1. The slope is 1. This means the slope of the other line will be the negative reciprocal which is -(-1/1)=-1.

To bisect the line segment, the line must cut exactly half way through it. We count from point to point the distance between points. Between -2 to 4 is a distance of 6. Halfway will be 3 units or where x=1. We count the vertical distance from -1 to 5 as 6. Halfway is exactly 3 units or y=2. THe line will intersect at (1,2).

If we draw the line it will cross through a y-intercept of 3.

This makes the equation in y=mx+b as y=-1x+3. Answer C.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

i think it would be 42cm