Answer:
0.1667
Step-by-step explanation:
There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:
The probability is 0.1667.
Answer:
<DCA and <BCF
Step-by-step explanation:
The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.
- When two lines cross, two angles that are vertical two one another are equal.
- They are know as vertically opposite angles.
- When two straight lines cross each other, four angles are produced.
- The two vertically opposite have the same values.
Answer:
To find f-¹(x) of f(x) equate f(x) to y
That's
f(x) = y
So we have
Next interchange the variables that's x becomes y and y becomes x
That's
Next make y the subject
Cross multiply
We have
4y - 7 = 10x
Move -7 to the right side of the equation
4y = 10x + 7
Divide both sides by 4
We have the final answer as
So
Hope this helps you
Answer:
Step-by-step explanation:
<ACB = <ECD
These 2 angles are vertically opposite and are equal.
<B = <D
They are both right angles are therefore equal.
The answer is the AA postulate.
A
Note
ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.
SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.
SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.
You are intended to use AA as your answer.
1. add 40 to the 40 and 25
2. now you have
3. then you have
4. then square root
5.then round answer to nearest tenth which is
