Answer:
x=11
Step-by-step explanation:
4x+11=5x (angle adb and edf are the same)
11=5x-4x
11=x
x=11
if you want you can check by doing...
(14*11-29)+(5*11)=180
We have been given that Judy’s brother Sam has a collection of 96 comic books. We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as 
. Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as 
. Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a <u>total of 10 ways</u> in which Sam can divide his comic books into equal groups.
Our question has been answered.
Answer:
r = 54 miles per hour
Step-by-step explanation:
Since we have been given the values for two of the unknowns, we can substitute them into the equation to find the third.
d = 405
t = 7.5
d = rt
405 = r (7.5)
405=7.5r
Now to find r, we need to get it by itself on one side so we have r = ...
We can do this by dividing 7.5 from both sides of the equation as this will cancel out the 7.5, leaving us with the r value, and everything you do to one side of an equation must also be done to the other side.
405/7.5=7.5r/7.5
54=r
The unknown value 'r' = 54
Since 'r' stands for 'rate', the units given must be appropriate for speed. As the distance was given in miles, and the time in hours, the unit for 'r' must be miles/hour. Therefore r=54miles/hour.
Hope this helped!
Using the intersecting secants theorem, QS*QR=QP*QM
3*13=2*(x+2)
39=2x+4
2x=35
x=17.5
Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08
sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25
∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°
