Answer:
2 cookies
Step-by-step explanation:
let c represent cookies, m represent muffins. set up a system of equations:
2c+3m=16
m=2c
(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).
then solve the system of equations by substitution, substituting 2c for m in the top equation:
2c+3(2c)=16
2c+6c=16
8c=16
c=2
this means that lori bought 2 cookies.
The greatest common factor is 32
Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem
Since given AD=BC,let us plugin BC=x in above step.
6x=11
x=
Now we know AD=x= and given CD=√2.
Let us apply Pythagoras theorem for ΔACD
= 2.315cm
<span>3rd angle of a triangle = 180 -(44 + 72) = 180 - 116 = 64
answer
</span><span>3rd angle of a triangle = 64 degrees</span>
