3.) A map is made of a park. The scale from the park to the map is 6 mi. To 1 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 8 mi. To 1 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, the Great Oaks Trail or the Salamander Trail?

Salamander Trail is longer than The Great Oaks Trail.

Step-by-step explanation:

Scale factor =

For the actual length of Great Oaks Trail,

Actual length of Great Oaks Trail = 27 mi

Scale for the same park to the different map =

Actual length of Salamander Trail = 8 × 3.5 = 28 mi.

Therefore, Salamander Trail is longer than The Great Oaks Trail.

whose power in the senate is equal to the power of the speaker of the house?

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.