HELP ASAP 3.) Andy's Karpet Kleaning charges a $23 consultation fee, plus $17 per hour to clean carpets. Stanley Steemer charges a $37 consultation fee, plus $13 per hour. After how many hours will the total charge be the
same? What is the charge?

After 3.5 hours and the charge is $82.50.

Step-by-step explanation:

Setting up the equations equal to each other will give a solution (x-value) that makes both sides equal (the same price) after the same amount of hours (x-value).

13x + 37 = 17x +23

x = 3.5

Then plug the hours into either side to get the equal price.

13(3.5) + 37 = $82.50

OR

17(3.5) + 23 = $82.50

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

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.