Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
A circle exists as a curve sketched out by a point moving in a plane. The circle's perimeter exists the length of the line of the circle that creates the circle. It exists generally named the circumference of the circle.
<h3>What is a circle?</h3>
A circle exists as a curve sketched out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it exists as the shape created by all points in a plane that exists at a set distance from a provided point, the center.
A.) The statement that rejects this characterization of the circle exists that the given point should be at the circle's center.
B.) An illustration of an indefinite term exists in the perimeter of the circle, The circle's perimeter exists the length of the line of the circle that makes the circle. It exists generally named the circumference of the circle.
To learn more about Circle refer to:
brainly.com/question/11833983
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120% of 12 is 14.4.I got this by doing this:
12/x=100/120
<span>(12/x)*x=(100/120)*x - </span>we multiply both sides of the equation by x
<span>12=0.833333333333*x - </span>we divide both sides of the equation by (0.833333333333) to get x
<span>12/0.833333333333=x </span>
<span>14.4=x </span>
<span>x=14.4</span>
The answer is -4 because 4+2 is equal to 6 and then 6-2 is equal to 4 and then times into the number of 2 the answer is 4x2 is equal to 8 and then minus into the negative 5 an the answer is -4.
