Using the fact that the triangles shown are similar, we can set up a proportion between the lengths of the sides.
The side length in question is QR, or "x". To find its corresponding side in the larger triangle let's look at the similarity.
MNO is similar to PQR
Vertices are always written in order of correspondence when stating similarities. Since QR are the last two letters of the triangle's name, and NO are the last two letters of the larger triangle's name, we know that QR and NO are corresponding sides. We can apply this same method to any other side.
NO/QR = MN/PQ
(MN and PQ are also corresponding sides)
Now we can substitute the side names with their values.
4.5/x = 5/2
Cross multiply
5x = 9
Divide both sides by 5
x = 9/5 or 1.8 or 1 4/5
Hope this helps!
Answer:
6,591,024,000
Step-by-step explanation:
Minutes in 24 hours=1,440
number of seconds in 24 hours=60*1440
=86,400..
number of cars made in each second=209
number of cars made in 86,400 seconds= 18,057,600
24 hours =one day
1 year =365 days
cars made in one year =365*18,057,600
=6,591,024,000
therefore, the number of cars made in one year =
6,591,024,000
Answer:
c=4
Step-by-step explanation:
c=23
Answer:
The inverse f-1(x) = ( x - 2) / 2.
Step-by-step explanation:
Let 2x + 1 = y
Now find x in terms of y:
2x = y - 1
x = (y - 1) / 2
Replace the x by the inverse f-1(x) and the y by x, so we have:
f-1(x) = ( x - 2) / 2.
