Answer:
(i)
<u>Given</u>
<u>Also we see that</u>
- ∠ABC = ∠DBE as refer to same angle
<u>Since two angles of triangles are congruent, the triangles are similar by </u><u>AA similarity postulate</u>
(ii)
<u>In similar figures corresponding parts have same ratio. Use ratios to find the value of x:</u>
- AB/EB = AC/ED
- 12/8 = x / 4
- x = 4*12/8
- x = 6 cm
Answer with Step-by-step explanation:
We are given that A and B are two countable sets
We have to show that if A and B are countable then
is countable.
Countable means finite set or countably infinite.
Case 1: If A and B are two finite sets
Suppose A={1} and B={2}
={1,2}=Finite=Countable
Hence,
is countable.
Case 2: If A finite and B is countably infinite
Suppose, A={1,2,3}
B=N={1,2,3,...}
Then,
={1,2,3,....}=N
Hence,
is countable.
Case 3:If A is countably infinite and B is finite set.
Suppose , A=Z={..,-2,-1,0,1,2,....}
B={-2,-3}
=Z=Countable
Hence,
countable.
Case 4:If A and B are both countably infinite sets.
Suppose A=N and B=Z
Then,
=
=Z
Hence,
is countable.
Therefore, if A and B are countable sets, then
is also countable.
Answer:
85
Step-by-step explanation:
This is the same as asking:
What is 850 divided by 10?
When you divide it by 10 it's telling you how many times 10 can go into 850.
So, 850 / 10 = 85
Lol... I don't know if this is a joke, but it's basically just restating the precious problem, but switching numbers. So the answer would be 2,592.
Answer:
49.85
Step-by-step explanation:
41 is the mean, so half of the daily requests are above that number, half below, the question is about numbers above the mean, so the lower numbers won't be included in the percentage.
The difference between 59 and 41 is 18. The standard deviation given is 6.
18 ÷ 6 = 3 So that is 3 standard deviations. The empirical rule states that 99.7 of all values are within 3 standard deviations from the mean. But we are looking at only the upper half of those values so 99.7 ÷ 2 = 49.85 %
If the answer asks for approximate, you could round to 49.9 or 50.
And tell the math people to learn the correct spelling of fluorescent!