4. which equation describes the line that contains the points (6,2) and (12,4)?

a. y=1/3x
b. y = 3x + 2
c. y = 3x

(a) y = 1/3 x is the correct equation.

Step-by-step explanation:

The given points are (6,2) and (12,4)

Now, if these points lie on any equation then they should satisfy the equation on which they lie.

CHECK FOR  equation  y = 1/3 x

if x = 6, y = 2 , then 2 = 1/3(6)  , True

if x = 12, y = 4, then 4 = 1/3(12). True

So, y = 1/3x contains both the points.

CHECK FOR  equation  y = 3x + 2

if x = 6, y = 2 , then 2 ≠ 3(6) + 2  

if x = 12, y = 4, then 4 ≠ 3(12). + 2

So, y = 3x  + 2  do not contain both the points.

CHECK FOR  equation  y = 3x  

if x = 6, y = 2 , then 2 ≠ 3(6)  

if x = 12, y = 4, then 4 ≠ 3(12).

So, y = 3x  do not contain both the point

Hence,  (a) y=1/3x is the correct equation.

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.

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.