Does this have one solution, no solution or infinite solutions? 5(x-3)+1=5x-14

In order to find out how many solutions the equation has, you have to solve for x.

The first step is to distribute the 5 into the parenthesis. Since 5 times x is 5x and 5 times -3 is -15, the equation becomes:

5x-15+1=5x-14

You can group the terms on the left side even more to combine the like terms:

5x-14 = 5x-14

As can be seen, the two sides are equal. Any number can be put into the equation and it would still be equal. An infinite amount of numbers can be put in, therefore there's infinite solutions.

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.