Which of the following is a step in constructing a circle inscribed in a triangle? (6 points) use a compass to locate the intersection of the midpoint of each side. use the perpendicular bisectors to find the center of the circle. use a compass to locate the intersection of the altitude of each side. use the angle bisectors to find the center of the circle.

d) Use the angle bisectors to find the center of the circle.

Step-by-step explanation:

Given that for a triangle a circle inscribed in a triangle is to be drawn.

For a incircle we must have the centre of the circle equidistant from the sides.

Then only the circle will touch all the three sides.

To get a point equidistant from all the three sides we must choose a point which lie on the three angle bisectors of the triangle.

Since angle bisectors are concurrent in a triangle, we can draw any two angle bisectors.

Option d is right

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.