Answer:11x + 5
Step-by-step explanation:1/3 times 9X is 3x. 1/3 times 15 is 5. Now you have 9x + 5 + 2x
9x + 2x = 11x
Final answer: 11x + 5
We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of 
and 
Finally, we can use the Pythagorean Theorem to find the length of 
:
Answer:
f(m) = 75-8m
Step-by-step explanation:
She began with $75. After the first movie, she had $67 remaining; this means she spent
75-67 = $8
After the second movie, she had $59 remaining; she spent
67-59 = $8
After the third movie, she had $51 remaining; she spent
59-51 = $8
Each movie costs $8. Letting m represent the number of movies, this gives us 8m.
Since she is spending money, we subtract this from the original amount, $75; this gives us
f(m) = 75-8m
