What is a necessary step for constructing perpendicular lines through a point on a line?

draw a line that intersects the first line at an acute angle using a straightedge.

draw a ray that intersects the first line at an acute angle using a straightedge.

draw arcs on either side of a given point on the line.

draw arcs on either side of a given point off the line.

What number should be added to both sides of the equation to complete this square? x^2-10x=7

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Yahir designs bracelets. he uses between 9 and 15 red and yellow beads in the ratio of 2 red bead to 5 yellow beads. drag the beads into the container to meet these requirements