Answer:
Option B 
Step-by-step explanation:
we know that
The area of the rectangle room, is equal to

where
L is the length
W is the width
we have


Remember that
1 yard= 3 feet
Convert yards to feet


The area is equal to

<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>
Answer:
Step-by-step explanation:
"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as
Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).
The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to zero:
4x + 9 ≥ 0, or
4x ≥ -9, or
x ≥ -9/4
This is the domain of the given function f(x) = √(4x + 9) + 2. So long as x is ≥ -9/4, the function f(x) will be defined.
Answer:

Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC

The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so

substitute

we have



remember that




The measures of triangle CGH are 
Triangle GHE


remember that

substitute and solve for m<GEH



The measures of triangle GHE are 