Answer: 4/5
Step-by-step explanation: Just divide 132/165 and get 0.8 which we know is equal to 4/5.
Simplemente divida 132/165 y obtenga 0.8, que sabemos que es igual a 4/5.
Answer:
250
Step-by-step explanation:
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<u>Answer</u>
2nd diagram
<u>Explanation.</u>
When contraction a parallel line from a point say N, outside the line, the first thing is to draw a line from point N to the that line.
The point where this line from N intersect with line, name it say P. From this point you can use the properties of angles in a parallel lines to construct the parallel line.
The line NP can act like a transverse of the two parallel lines. The diagram 2 shows first step.
9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
- a+b > c ⇒ 3n+3 > 3n-2 . . . always true
- b+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2
- c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4
That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
To solve this problem you must apply the proccedure shown below:
1. You have the following logarithm:
<span>log(2)n=4
2. Therefore, you con rewrite it as below:
loga(b)=logb/loa
</span>
3. Therefore, you have:
log(2)n=4⇒log(n)/log(2)=4
4. Then, you obtain:
log(n)=4log(2)
5. Therefore, as you can see, the answer for the exercise shown above is the last option, which is:
log(n)=4log(2)