Find the greatest common factor of -30x^4 yz^3 and 75x^4 z^2
fill in the blanks.

__ x^_ z^_

Hello from MrBillDoesMath!

15 x^4 z^2

Discussion:

Only x and z appear in both expressions so I am looking for the highest power of x and z in both terms. This is clearly

x^4z^2

but 30 and 75 (constant)  are both divisible by 15 so the final gcf is  15 x^4 z^2

Thank you,

MrB

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.