What step is similar when constructing a circle inscribed in a triangle and a circle circumscribed about a triangle?

The similar step is "place the compass on the intersection of the bisectors to draw the circle".

Step-by-step explanation:

Steps to draw a circle inscribed in a triangle.

1. Draw two angle bisector.

2. Place the compass the intersection of the bisectors, it is the center of the inscribed circle.

3. Draw a perpendicular from the center point to any side of the triangle.

4. Set the compass on the center point, adjust the length of compass to where the perpendicular is crossing the triangle, and draw inscribed circle.

Steps to draw a circle circumscribed about a triangle.

1. Draw two perpendicular bisector.

2. Place the compass the intersection of the bisectors, it is the center of the circumscribed circle.

3. Draw the circle with radius at the intersection point of the bisectors which goes through any of the vertices.

Therefore the similar step is "place the compass on the intersection of the bisectors to draw the circle".

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1