A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.
Setting up the equation you would have: 132 = x + (3x-24)
Now solve for x:
132 = x + (3x-24)
Simplify:
132 = 4x -24
Add 24 to both sides:
156 = 4x
Divide both sides by 4:
x = 156/4
x = 39
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
Answer:
48 + 8x = 9
Step-by-step explanation:
4 + 
x = 
multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
48 + 8x = 9
