What multiples into 4 and adds up to 5

(2x+1) (x+2)

Step-by-step explanation:

2x^2 +5x+2

(2x +   )   (x+   )

We need to determine what goes in the empty spots

2 factors into 2 and 1  so we have two options

(2x +   )   (x+   )  the first spot can be either 2 or 1  and the second spot can be the other

We need to get to 5  so I will put the 2 where it will multiply by the 2x

(2x+1) (x+2)

Check

FOIL

2x^2 +4x +x+2

2x^2 +5x+2

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

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.