What is the scale factor from the original design to the enlarged design?
2 answers:
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Answer:
Step-by-step explanation:
This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of and set that expression equal to the midsegment:
2x + 10 = 3x
-2x - 2x
____________
You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.
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Answer:
x =
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x =
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = |
| =
right side = - 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = |
| =
right side = - 5 = -
right side ≠ left sides, hence not a solution