Which set of steps could be used to solve this story problem? helen read 4 books per week for the first 3 weeks of her summer vacation. she read 2 books per week for the last 4 weeks. she also read 2 magazines each week. how many books did helen read over summer vacation? a. multiply 4 by 3. then multiply 2 by 4. add the two products. b. add 3 and 4. then add 2 and 4. add the two sums. c. multiply 3 × 4. then add 4 to that product. then subtract 2. d. add 4 and 4. then divide that sum by 2 and add 3 to the quotient.

  A.  Multiply 4 by 3. Then multiply 2 by 4. Add the two products.

Step-by-step explanation:

As with many rate problems, ...

  quantity = rate · time

The total quantity will be the sum of quantities associated with different rates or time periods:

  total quantity = quantity1 + quantity2

  = (rate 1)(time 1) + (rate 2)(time 2)

  = (4 books/week)(3 weeks) + (2 books/week)(4 weeks)

  = 4·3 books + 2·4 books . . . . . . units of (weeks/weeks) cancel

  = (4·3 + 2·4) books . . . . . . formula matches selection A

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.