Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket. 150x + 80y + 12z = 2,466 380x + 95y + 48z = 5,419 210x + 130y + 60z = 3,960 220x + 225y = 4,445 540x + 270y = 8,370 → y = −2x + 31 x = 11 finish solving the system using. what are y and z?

y =  9, z = 8

Step-by-step explanation:

Here, the given equations are,

150x + 80y + 12z = 2,466 (1)

380x + 95y + 48z = 5,419 (2)

210x + 130y + 60z = 3,960 (3)

4 × equation (1) - Equation (2),

220x + 225y = 4,445  (4)

5 × equation (1) - equation (3),

540x + 270y = 8,370

⇒ 270 y = 8370 - 540 x

⇒ y = 31 - 2 x

Substituting the value in equation (4),

220 x + 225 ( 31 - 2 x ) = 4445

220 x + 6975 - 450 x = 4445

- 230 x = - 2530

x = 11

By putting this value in equation (5),

we get, y = 31 - 22

y = 9

By putting the value of x and y in equation (1),

1650 + 720 + 12 z = 2466

2370 + 12 z = 2466

12 z = 96

z = 8

Y=9

Z=8

For the next one, the solution can be expressed as 11,9, and 8

Step-by-step explanation:

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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.