Select the mistake that is made in the proof given below. Theorem. The product of an even integer and any other integer is even. Proof. Suppose that x is an even integer and y is an arbitrary integer. Since x is even, x = 2k for some integer k. Therefore, xy = 2m for some integer m, which means that xy is even. ■
a. Assuming facts that have not yet been proven.
b. Misuse of existential instantiation.
c. Generalizing from examples.
d. Failure to properly introduce a variable.

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.

here is a big fat

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1