65:x = 13:15
Divide 65 by 13.
65/13=5
Multiply 15 by 5 for the proportionate factor.
75.
There are 75 girls in the classroom.
We're looking for the total so we need to add 65 with 75.
65+75= 140.
There are 140 total students.
3x + 3y + 2z = -5 ⇒ 3x + 3y + 2z = -5 ⇒ 3x + 3y + 2z = -5
1x + 1y + 3z = -4 ⇒ 1x + 1y + 3z = -4 ⇒ 3x + 3y + 9z = -12
3x - 1y + 5z = -8 -7z = 7
-7 -7
z = -1
3x + 3y + 2z = -5
1x + 1y + 3z = -4 ⇒ 1x + 1y + 3z = -4
3x - 1y + 5z = -8 ⇒ 3x - 1y + 5z = -8
4x + 8z = -12
4x + 8z = -12
4x + 8(-1) = -12
4x - 8 = -12
+ 8 + 8
4x = -4
4 4
x = -1
3x + 3y + 2z = -5
3(-1) + 3y + 2(-1) = -5
-3 + 3y - 2 = -5
3y - 3 - 2 = -5
3y - 5 = -5
+ 5 + 5
3y = 0
3 3
(x, y, z) = (-1, 0, -1)
Answer:
The solution is (-1,3)
Step-by-step explanation:
The Congruence transformations are related transformations performed on an object that create an congruent object for example Hence, reflection is a congruence transformation.