What value could be added to 2/15 to make the sum greater than 1/2?A. 1/15B. 8/30C. 5/15D. 8/15

In order to find the required fraction, you can write the following inequality:

Solve the previous inequality for x by subtracting 2/15 both sides and simplifying:

Then, you hava that x must be greater than 11/30.

You can notice that from the given choices, 8/15 is the only number that is greater than 11/30 (you can check it by subtracting 11/30 to 8/15, you'll get a positive number).

Hence, 8/15 is the value you can add to 2/15 to get a greater number than 1/2

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.