Some steps to construct an angle mnt congruent to angle pqr are listed below. step 3 is not listed:

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.

which statement describes step 3 correctly?

adjust the width of the compass to ab, and draw an arc from point x such that it intersects the arc drawn from n in a point y.

adjust the width of the compass to aq, and draw an arc from point x such that it intersects the arc drawn from n in a point y.

adjust the width of the compass to bq, and draw an arc from point x such that it intersects the arc drawn from n in a point y.

adjust the width of the compass to nx, and draw an arc from point x such that it intersects the arc drawn from n in a point y.

answer: a

step-by-step explanation:

well what you have to do is divide 84 by 6 so theanswer

step-by-step explanation:

84 divided by 6 = 14

and that lightbulb changing party must be freaking lit!

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.