Answer:
5.734
Step-by-step explanation:
Here is something to help you with this.
Please do not report
https://www.calculator.net/triangle-calculator.html?
20×3 is 60 and if Sarah counted 45 beats in 20 seconds you'd multiply 45 by 3 so it would be 135.
If the 4 states have to be in a specific order say ABCD,
then the total number of different possible routes is:
43P4 = 2,961,840
So the probability is:
1 / 2,961,840 = 3.38 x 10^-7
But if the 4 states can be in any order such as DBAC,
ACBD etc, then the total number of different possible routes is:
43C4 = 123,410
So the probability is:
1 / 123,410 = 8.1 x 10^-6
No I don’t think it is practical to list all the
different possible routes to select the one that is best. We can simply use
mathematical models to solve for that one.
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Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
45 / 3 = 15
45 - 15 = 30
30 / 5 = 6
6 x 2 = 12
30 - 12 = 18
The answer is D:18
