How many different integers can possibly be the third side length of a triangle in which the other two sides have lengths 7 and 19?

13

Step-by-step explanation:

let the third side be x, then the possible values for the third side is

difference of 2 sides < x < sum of 2 sides, that is

19 - 7 < x < 7 + 19

12 < x < 26

The possible integer values are

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

That is a total of 13 integer values

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

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.