Answer:
1: 55 2: 40
Step-by-step explanation:
For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so
90+35+x=180
125 + x = 180
x = 55
Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180
55 + y = 180
y = 125
For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so
40 + 2x = 3x
x = 40
Given:
f(x) = 70n - 400 : equation for monthly profit.
n = number of students enrolled in the guitar class.
70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.
For the instructor to have a profit, the product of 70n must be more than 400.
400/70 = 5.7 or 6
There must be at least 6 students enrolled in class for the instructor to generate profit.
f(x) = 70(6) - 400 = 420 - 400 = 20
1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n
There must be 20 students enrolled in class for the instructor to earn 1000 in profit.
1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000
Answer:
17
Step-by-step explanation:
1+7p-40=80
-39+7p=80 Move constant to the right
7p=80+39 add the numbers
7p=119 divide both sides by 7
Answer:
150√3- 75π) ft². if you see it
Step-by-step explanation:
