Coach henry tied a rope to the top of a 6 ft pole and
secured the rope to the ground 6 ft from the base of
the pole. how long is the rope?

8.49 feet

Step-by-step explanation:

From this scenario, a right triangle is created, where,

Pole (6ft) is left side of triangle,

Ground Distance (6ft) from pole to where rope is secured is the base of the triangle

Hence, the rope itself is the HYPOTENUSE of the triangle (hypotenuse is the side oppose of 90 degree angle -- this angle is created with ground and pole)

Now that we know both legs of the triangle are 6 each and we need to find hypotenuse, we use the Pythagorean Theorem to solve this:

Pythagorean Theorem is Hypotenuse ^2 = Leg^2 + AnotherLeg^2

Here,

Leg = 6

AnotherLeg = 6

So we write and equation and solve for Hypotenuse (h):

The rope's length is 8.49 feet (rounded to 2 decimal places)

d

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.