Am I supposed to divide or add?
2 answers:
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Answer:
The scale factor is 1/2
Step-by-step explanation:
Given
and
Required
The scale factor from to
Take a corresponding side in both triangles.
We have:
The scale factor from to
is:
Option A: >
Solution:
Given a triangle GHJ.
The line GH is perpendicular to line HJ.
This means the triangle is a right angled triangle.
In ΔGHJ, GH is the base of the triangle and
HJ is a height of the triangle.
Then the third side must be the hypotenuse of the right triangle.
We know that by the Pythagoras theorem,
This clearly shows that the hypotenuse is greater than the height.
⇒ GJ > HJ
Option A: > is the correct answer.
If line GH is perpendicular to line HJ, then GJ is > HJ.
2(x - 2) = -4x + 44
First, expand. / Your problem should look like:
Second, add 4 to both sides. / Your problem should look like:
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like:
Fourth, add 4x to both sides. / Your problem should look like:
Fifth, add 2x + 4x to get 6x. / Your problem should look like:
Sixth, divide both sides by 6. / Your problem should look like:
Seventh, simplify
to 8. / Your problem should look like: 
Answer: x = 8
First, expand. / Your problem should look like:
Second, add 4 to both sides. / Your problem should look like:
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like:
Fourth, add 4x to both sides. / Your problem should look like:
Fifth, add 2x + 4x to get 6x. / Your problem should look like:
Sixth, divide both sides by 6. / Your problem should look like:
Seventh, simplify
Answer: x = 8