Iwent to my favorite taco stand with some friends. between us we bought 6 tacos and 2 burritos, and i noticed that the ratio of the amount we spent on tacos to the amount we spent on burritos was 7: 4. later we went back and bought 4 tacos and 3 burritos and spent 1 dollar less. how much money did we spend that time?

  $32

Step-by-step explanation:

First, we'll use the given relations to find the costs of a taco and burrito, then we'll compute the bill for the second visit to the taco stand.

Let t represent the cost of a taco, and b represent the cost of a burrito. The first trip to the taco stand resulted in costs that have the relation ...

  (6t)/(2b) = 7/4

Multiplying by 4b, we get ...

  12t = 7b . . . . . [eq1]

On the second trip to the taco stand, the costs have the relation ...

  (4t +3b) = (6t +2b) -1 . . . . . . subtracting 2b+4t from both sides gives ...

  b = 2t - 1 . . . . . [eq2]

__

Substituting the expression for b in [eq2] into [eq1], we get ...

  12t = 7(2t -1)

  0 = 2t -7

  7/2 = t = 3.5

  b = 2t -1 = 6

__

The spending on the second trip was ...

  4t +3b = 4(3.5) +3(6) = 32 . . . . dollars

ghjmutmum

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.