Answer:
B
Step-by-step explanation:
A contrapositive statement is one that switches the hypothesis and conclusion of a conditional statement and negates both. In our hypothesis,
"If it is past 5:00 p.m., Megan’s office building is not empty", we shall break it into two statements and show the contarpositive of each like shown below.
Hypothesis Contrapositive
Megan’s office building is not empty- Megan’s office building is empty
It is past 5:00 p.m - it is not past 5:00 p.m
And thus the contrapositive statement becomes
If Megan’s office building is empty, then it is not past 5:00 p.m.
Answer:
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Step-by-step explanation:
m<MON = 8x - 13°
m<LOM = 7x - 17°
To find : m <MON
First, we have to find the value of x :
Create an equation
( sum of angle in straight line )
Collect like terms

Calculate

Move constant to R.H.S and change its sign

Calculate the sum

Divide both sides of the equation by 15

Calculate

Now, let's find the value of m<MON

Plug the value of x

Calculate the product

Calculate the difference
°
Hope I helped!
Best regards!
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

So, the required distance is 225.16 feet.