Measure the lines with small paper clips and then with a centimeter ruler. line 1, has 3 paper clips = 12 cm with ruler. line 2, has 2 paper clips = to 6 cm with a ruler. line 3 has 2 paper clips = 9 cm ruler. explain why each measurements require more centimeters than paper clips

Its because the paper clips used here are of same length (4cm long).

So the measurements of lines two and three need to be multiples of 4 to me measured accurately with the paper.

i.e Line two needs to be 6cm + 2cm = 8cm (eight is a muliple of 4)

Line three needs to be 9cm + 3cm = 12cm (twelve is a multiple of 4)

Step-by-step explanation:

Since line 1 has 3 paper clips and its 12cm in length, the size of the paper clips is 4cm.

Line 2 is 6cm long and will require two more centimeters to measured accurately by the 4cm-paper clips.

Line 3 is 9cm and will require three more centimeters to be measured accurately by the 4cm-paper clips.

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.

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8