Answer:
7/30
Step-by-step explanation:
Answer:
x = 49
Step-by-step explanation:
The third side of the largest of the inner triangles:
= 
=
The side that continues next to 33: x -33
Applying similarity property on right triangles:




Hope this helps
Answer:
A- X= 20÷5-3
B- 20÷5=4; 4-3=1
C- X=1
Step-by-step explanation:
Okay, well we have to work backwards. 20 cookies, and she makes 5 bags. We need to find out what 'x' means. To do that, we take 20 cookies and divide it by 5. 4 cookies. Then we want to take 3 cookies out of each bag to find out how many cookies she first put in. 1 cookie.
Let's check:
bag 1:
o (one cookie)
bag 2:
o (one cookie)
bag 3:
o (one cookie)
bag 4:
o (one cookie)
bag 5:
o (one cookie)
Now we have 15 cookies left. Now let's put 3 in each:
bag 1:
o (one cookie)
v v v ( three cookies)
bag 2:
o (one cookie)
v v v ( three cookies)
bag 3:
o (one cookie)
v v v ( three cookies)
bag 4:
o (one cookie)
v v v ( three cookies)
bag 5:
o (one cookie)
v v v ( three cookies)
Now we have no cookies left, and we put 4 cookies in each. (o representing the first cookie, v representing the next three cookies)
Factorize the numerator and denominator, then simplify:
10/45 = (2×5)/(9×5) = 2/9
Now,
1/9 = 1/10 + 1/90
1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900
1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000
and so on, which is to say
1/9 = 1/10 + 1/100 + 1/1000 + …
or
1/9 = 0.111…
so that multiplying both sides by 2 gives
2/9 = 0.222…