Let

be the number of hours that the waitress works in the evening.
We know for our problem that she works

in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>

<span>Since </span>

, we can rewrite our expression:


We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:

hours.
Answer:
Point B
Step-by-step explanation:
Inside the darkest part where both inequalities are true
Answer:
Step-by-step explanation:
a). There are 8 points in the figure attached.
b). There are 9 lines in the given figure.
c). There are 5 planes in the figure attached.
d). Three collinear points are D,G and F.
e). Four co-planar points are G, F, H and C.
f). Intersection of planes ABC and ABE is the common line AB.
g). Intersection of planes BCH and DEF is the common line EF.
h). Intersection of AD and DF is a point D.
Answer = d
using the 30 - 60 - 90 triangle theorem
side across from the angle
across from angle 30 is x
across from angle 60 is x rad. 3
across from 90 is 2x
BC is across from angle 60
so BC is the x rad 3
set the given measurement equal to it
x sqrt 3 = 5
÷ sqrt 3 ÷ sqrt 3
x = (5/ sqrt 3)
multiply top and bottom by the radical to get rid of the radical in the bottom
x = (5/ sqrt 3) × (sqrt 3/sqrt 3)
x = 5 sqrt 3/ 3
since side BC is x
BC = 5 sqrt 3/ 3
* Drawing the triangle diagram would help*
Answer:
A=60, B=80, and C=67
Step by step explanation:
B= 2a
C= a+27
With the information, you get the equation:
A+A+27+2A=187
Then, you have to simplify.
You then get 4a+27=187.
Now, you subtract 27 from both sides to get: 4a=60.
Divide both sides by 4 to get A= 60.
If A=60, 2A=80, so B=80. A+27=67, so C=67.
You check this by adding them up to see if they equal to 187, which in fact, they do.
A=60, B=80, and C=67.
Hope this helped!