Which expression results from using the distributive property to rewrite −9.1(−4)−9.1(12)?

a. 9.1(−4+12)

b. −9.1(−4+12)

c. 9.1(−4−12)

d. −9.1(4−12)

B. −9.1(−4+12)

They distribute to make − 9.1 (− 4) − 9.1 (12)

Distribution is to multiply one value each from the value outside the parentheses (from the left side)

Ex. 1 (x + y) = 1(x) + 1(y) = 1x + 1y = x + y

Choice B.  -9.1(-4+12)

Step-by-step explanation:

The distributive property in general is

a*(b+c) = a*b + a*c

In this case,

a = -9.1

b = -4

c = 12

So we have

a*(b+c) = a*b + a*c

-9.1*(-4+12) = -9.1(-4) + (-9.1)*(12)

-9.1(-4+12) = -9.1(-4) - 9.1(12)

side note: the -9.1 shows up twice so that is factored out as its a common factor. The stuff left over (the -4 and the 12) is then added up.

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.