Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the estimated and actual products compare? (Hint: use 18 for the denominator when estimating.) The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate. The actual product is about StartFraction 1 over 18 EndFraction less than the estimate. The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate. The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.

the answer

b. they are parallel and will never intersect.

i believe the correct answer is b.

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.

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