What is the result of factoring out the gcf from the expression (24 + 36)? a)12 × (12 + 18) b)12 × (2 + 3) c)6 × (8 + 12) d)12 × (4 + 6)

Option B is correct .i.e., 12 × ( 2 + 3 )

Step-by-step explanation:

we are Given  an Expression = 24 + 36

we have to find an Expresion after factoring out  GCF

Full form of GCF is Greatest Common Factor.

First we find factors of 24 and 36 then their GCF

factors of 24 - 1, 2, 3, 4, 6, 8, 12, 24

factors of 36 - 1, 2, 3, 4, 6, 9, 12, 13, 36

⇒ GCF = 12

W have,

   24 + 36

⇒ 12 × 2 + 12 × 3

⇒ 12 × ( 2 + 3 )

Therefore, Option B is correct .i.e., 12 × ( 2 + 3 )

its a straight line parallel to the time axis

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.