Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 4, 5, 6. The sides of the triangle on the right are marked as 3, 2, and 2.5. For the triangle on the left, the angle between sides marked 6 and 5 is labeled as p, marked by a double arc, and the angle between the sides marked 6 and 4 is labeled as q, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 2 and 3 is labeled as r and the angle between the sides marked 2.5 and 3 is labeled as s, marked by a double arc. The angle between the sides 2 and 2.5 is labeled as t, marked by a triple arc and it is also the angle on the top vertex of this triangle.
Which two sets of angles are corresponding angles? (4 points)

Question 3 options:

1)

∠p and ∠r; ∠q and ∠s

2)

∠p and ∠s; ∠q and ∠r

3)

∠p and ∠t; ∠q and ∠s

4)

∠p and ∠t; ∠q and ∠r

answer. d.289 hope that

answer: idk

step-by-step explanation:

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.

x=25?

i think this is the answer hope this

step-by-step explanation: