Sara has 4\frac{3}{4}4 4 3 ​ yards of red fleece and 2\frac{2}{3}2 3 2 ​ yards of blue fleece fabric. How many yards of red and blue fleece fabric does she have altogether? Write your answer as an improper fraction.

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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.