It's moving day, and lydia has packed her books into large and small boxes. the large boxes hold 35 books, and the small ones hold 20 books. she packed her 420 books into 18 boxes. how many are large, and how many are small?

The number of large boxes is 4 and the number of small boxes is 14.

Explanation

Suppose, the number of large boxes is and the number of small boxes is

As, the total number of boxes is 18, so the first equation is....

The large boxes hold 35 books, and the small ones hold 20 books and the total number of books is 420. So the second equation will be .....

Now solving equation (1) for itself , we will get....

We will plug this into equation (2). So.....

Now plugging this into the equation .......

Thus, the number of large boxes is 4 and the number of small boxes is 14.

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.