Answer:
Statements:
m<b = 180 - m<a
m<c = 180 - m<d
m<b = m<c
180 - m<a = 180 - m<d
Reasons:
The measure of m<b is the angle of a straight line subtracted with m<a. The measure of m<c is the angle of a straight line subtracted with m<d. If m<a and m<d are equal, m<b and m<c are equal.
Step-by-step explanation:
We know, m<a = m<d
So, we need to prove m< b = m<c
Let's start by defining what b and c is
m<b + m<a = 180 This is because a straight line is 180 degrees
m<b = 180 - m<a
m<c + m<d = 180
m<c = 180 - m<d
With this, we can substitute in proof
m<b = m< c
180 - m<a = 180 - m<d
180 - m<a = 180 - m<a
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Answer:
0.17 !!!!!!!
Hope this helps you!!!!!
Step-by-step explanation:
Answer:
The two numbers of rolls are 25.2 and 46.8.
Step-by-step explanation:
The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have

Here
Then we know that,
.
Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.
Compute the two values between which at least 75% of the contestants lie as follows:

Thus, the two numbers of rolls are 25.2 and 46.8.
Answer:
3/8
Step-by-step explanation:
1- 1/4 +(1/2 x 3/4)
1. subtract 1/4 to get 3/4 (how much time she has left in class).
2. multiply 3/4 by 1/2 to find how much half of 3/4 is.
3. Half of 3/4 is 3/8 so that's how much time she spent on the balance beam.
Answer:
23 x + 62
Step-by-step explanation:
Simplify the following:
5 (4 x + 12) + 3 x + 2
5 (4 x + 12) = 20 x + 60:
20 x + 60 + 3 x + 2
Grouping like terms, 60 + 20 x + 3 x + 2 = (20 x + 3 x) + (60 + 2):
(20 x + 3 x) + (60 + 2)
20 x + 3 x = 23 x:
23 x + (60 + 2)
60 + 2 = 62:
Answer: 23 x + 62