Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables. For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? number or guest

Number of guests = 10

Step-by-step explanation:

Given that:

Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.

Let,

x be the number of guests.

A(x) = 15x + 100

B(x) = 20x + 50

For the cost to be equal;

A(x) = B(x)

15x + 100 = 20x + 50

100 - 50 = 20x - 15x

50 = 5x

Dividing both sides by 5

Hence,

Number of guests = 10

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.

c. 1,233 miles