Use the distance formula to find the length of the segment between points (2,-3) and (5,-4)
A.10
B. square root of 50
C. square root of 10
D.58

Answer C:  √10

Step-by-step explanation:

Construct a right triangle whose hypotenuse represents the distance between the given points.  As we move from (2, -3) to (5, -4), x increases by 3 and y decreases by 1.  Thus, the lengths of the legs of this right triangle are 1 and 3.  Using the distance formula, we get d = √(1^2 + 3^2) = √10 (This matches Answer C).

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.

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.