What is the relationship between 2.57×10^4 and 2.57×10^−1 ? select from the drop-down menus to correctly complete the statement. a)1000 b)greater 10,000 less than 100,000 1,000,000

We have the numbers:

2.57×10^4 and 2.57×10^−1

The first thing we can see is that the first number exponent is 4, and the second number's exponent is -1, so the difference between is of 5.

If we calculate the quotient between the numbers we have:

(2.57×10^4)/( 2.57×10^−1) = (2.57/2.57)*(10^4/10^-1) = 1*10^(4 - (-1)) = 10^5

Then the first number is 10^5 times bigger than the second number, then the first number is 100,000 greater than the second one.

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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hand, ambitous, ace, genius.