Answer:
The value of k is greater than or equal to 0, i.e. k≥7.
Step-by-step explanation:
The given equation is
The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.
Subtract 48 from both the sides.
Using ![[\frac{r^m-1}{r-1}=r^{m-1}+r^{m-2}+...+1]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Br%5Em-1%7D%7Br-1%7D%3Dr%5E%7Bm-1%7D%2Br%5E%7Bm-2%7D%2B...%2B1%5D)
, we get
Divide both sides by 48k.
Note: The value of m can be 0 or 1.
The value of k is positive integer, so the right hand side of the above equation must be a positive integer.
Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.
Add 1 on both sides.
Therefore the value of k is greater than or equal to 0.
There are a couple of equations u can use
x = original price
15% off the original price of the purchase :
x - 0.15x
OR
if u get 15% off, then u are paying for 85%
0.85x
<h3>
Answer: C) Not congruent</h3>
We have 2 pairs of congruent angles, so we can prove the triangles are similar triangles (using the AA similarity theorem). But we don't have enough information to prove them to be congruent. We would need at least one pair of sides to be congruent so we could use either AAS or ASA.
For instance, if we knew that AT = AP, then we would use AAS. If we knew that HT = MP, then we would use ASA instead. However, we don't have either bit of information like this. The triangles may or may not be congruent. We simply don't have enough information to say either way. We can't definitively say they are congruent, so we just lean toward "not congruent".
namely what's 240⅛ - 215⅝.
firstly, let's convert the mixed fractions to improper, and then divide.
Answer:
9
Step-by-step explanation:
1. The formula to find constant of proportionality is k = y/x, where y = y-coordinate and x = x-coordinate.
2. Let's take the coordinate (1,9) and plug their values into that formula to get the constant of proportionality.
Therefore, the constant of proportionality is 9.
