Someone help me please :)

9514 1404 393

  x = 25√2

Step-by-step explanation:

The Pythagorean theorem is used to relate the sides of a right triangle to the hypotenuse. The sides are marked as being the same length, so both are x. Then we have ...

  50² = x² + x²

  50² = 2x² . . . . . . . . collect terms

  2·(2500/4) = x² . . . . . multiply by 2/4*

  √(2·625) = x . . . take the square root

  25√2 = x

* We use a version of 1/2 that has a prefect square in the denominator (2/4) so that we don't end up with an irrational denominator when we take the square root. It's a little bit of planning ahead.

a

step-by-step explanation:

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.