Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
-----> equation A
-----> equation B
Substitute equation B in equation A
![3[15-y]+8y=55](https://tex.z-dn.net/?f=3%5B15-y%5D%2B8y%3D55)
Find the value of x
therefore
<u>the answer is</u>
the number of multiple choice question are 
the number of free response question are 
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
=========================================================
Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
Answer:
a.
the function we are working with
Step-by-step explanation:
f(x) is functions notation which means the output for the function being worked with. It is the y value hence y=f(x).
Answer:
Step-by-step explanation:
The GCF doesn't have to be a number. In this case, it is -y because both the -2xy and -9y share it. It's also easier when you take out a negative. Once you take the GCF out, your new expression should be:
Answer:
247 ft is the correct answer
