Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
Answer:
- 3/20, with the assumptions below.
Explanation:
The question seems incomplete.
In order to show you the procedure, I make some assumptions.
Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.
The operation is:

Convert the whole number 5 into fraction using 1 as denominator:

Transform the division into multiplication changing the divisor into its reciprocal:

Multiply numerator with numerator and denominator with denominator:

Answer:
600
Step-by-step explanation:
How to do it in your head (secret):
3*2 = 6
add 2 zeros after the 6 since there are 2 zeros in total in this equation 2<u><em>0 </em></u>and 3<u><em>0</em></u> so:
30*20 = 600
:D
42 + 28 + 12 + 18 = 100 total beads
probability of not drawing a yellow or a green : (12 + 18) / 100 = 30/100 reduces to 3/10 or 30%
probability of drawing a red or green : (18 + 28) / 100 = 46/100 reduces to
23/50 or 46%
Answer:
18" X 18" X 36"
Step-by-step explanation:
Given a square base container of height h, let a side of the base =s
The volume of the container,
If the sum of its height and girth (the perimeter of its base) equals 108 in

Substituting h=108-4s into V

We are required to determine the maximum volume of such container, first we take the derivative:

Optimizing:

Recall that: h = 108-4s

The dimensions of the carton are 18" X 18" X 36".