Dylan was ordering a set of numbers from smallest to largest: 675,981,120,230 675,981,012,230 675,981,120,231 His teacher told him he had an error. Explain the follwoing: What was Dylan's error? What tips can you give Dylan to help him order and compare numbers in the future?

For arranging a set of numbers from smallest to largest, first, write the smallest number, then write the number just bigger than the smallest number and proceeds in the same way as the previous number from any number must be a smaller number, finally, the largest number should be at the end.

If the numbers are equals, then is comes side by side.

Accordint to Dylan the arranged numbers are 675,981,120,230 675,981,012,230 675,981,120,231.

There are so many positions of number where the number at the preceding position is a larger number which is an error, like the smallest number, 012, is not at the first position. Similarly, the largest number, 981, is not at the end, also an error.

By the way, only one error is sufficient to make the ordered set wrong.

Tips: First write the smallest number, then write every next number which is just bigger than or equal to the previous number, as

013, 120, 120, 230, 230, 231, 675, 675, 675, 981, 981, 981.

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.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.