Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Answer:
6 hours
Step-by-step explanation:
First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.
You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.
You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours
Answer:
<em>The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.</em>
Step-by-step explanation:
Material for a dress costs £5.50 per meter.
We know that, <u>1 meter = 100 cm</u>.
Suppose, the cost of 10 cm material is
and the cost of 70 cm material is 
Now, <u>according to the ratio of "cost" to the "length of material"</u> , we will get.......

and

So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85
Answer:

Step-by-step explanation:
Given


Required
The probability model
To do this, we simply calculate the probability of each container.
So, we have:





So, the probability model is:

Answer:
21
Step-by-step explanation:
I dunno, I used a calculator B)