Elena and Tomas rented a room in a restaurant for their wedding reception. They had to pay a rental rate of $160 plus $15 for the dinner of each guest who attended. They could not afford to pay more than $520 for the reception. Which inequality can be used to find how many guests (

See explanation

Step-by-step explanation:

Let the number of guests be represented by x.

The information given can then be used to generate an inequality that goes thus:

160 + 15x ≤ 520

15x ≤ 520 - 160

15x ≤ 360

x ≤ 360/15

x ≤ 24

The number of guests should be at most 24

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.

32

step-by-step explanation: