Answer:
total number of students = 41
Step-by-step explanation:
A different class is made up of 66% women and has 27 women in it.
Let x be the total number of students in the class
66% of students are women
66% of women are 27 women
66 % of x is 27
![\frac{66}{100} x= 27\\\\66x=2700\\](https://tex.z-dn.net/?f=%5Cfrac%7B66%7D%7B100%7D%20x%3D%2027%5C%5C%5C%5C66x%3D2700%5C%5C)
divide both sides by 66
x=41
So total number of students = 41
Answer: Side one is 7 3/8
Side two is 8 2/8
Side three is 3 3/8
Perimeter is 19
Step-by-step explanation:
The first side is a+3 1/4
the second side is 2a
The third side is 7 1/2-a
Plug 4 1/8 in for a
First side 4 1/8+3 1/4
Find the common denomnator which is 8
4 1/8+3 2/8
7 3/8
First side is 7 3/8
Second side 2(4 1/8)=4 1/8 +4 1/8= 8 2/8
Third side is 7 1/2-4 1/8
Find the common denominator which is 8
7 4/8-4 1/8= 3 3/8
Third side is 3 3/8
The perimeter is adding all the three sides together
7 3/8+8 2/8+ 3 3/8=18 8/8
Reduce 18 8/8=18 +1=19
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)
x = 180° - 120°
x = 60°
✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.
Therefore,
50° + 60° = x + y
Plug in the value of x
50° + 60° = 60° + y
110° = 60° + y
y = 110° - 60°
y = 50°
Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)