It takes emily eight hours to paint her house. mike can paint the same area in nine hours. find how long it would take them if they worked together.

7.58 hours

15.34 hours

3.56 hours

4.24 hours

It would take them 4.24 hours if they worked together.

Explanation:

We are given that

time taken by emily to paint her house = 8 hours and

time take by Mike to paint the same area = 9 hours

We have to find the time taken by them if the work together, let this be x so x will be given by,  

= 4.24 hours

which is the time taken by Emily and Mike to paint the house when they do it together.

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.