Zachary is starting a business selling handmade necklaces. he has
decided to invest an initial amount of $31 for advertising, and materials
cost 56 for each necklace he makes. zachary can sell his creations for
537 per necklace. once he makes and sells a certain number of
necklaces, he will break even, with identical expenses and sales. how
many necklaces would that take? what would the total expenses and
sales be then?

answer:

photo math ur welcome

step-by-step explanation:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.