A quadrilateral’s smallest side measures 29 mm and its largest side measures 38 mm. A similar quadrilateral’s largest side measures 95 mm. What is the measure of its smallest side?(1 point)
We know that the ratio between the sides of the two similar quadrilaterals is the same. So, if the smallest side of the first quadrilateral measures 29 mm and the largest side measures 38 mm, the ratio between their sides is 38/29.
We also know that in the second quadrilateral, the largest side measures 95 mm. To find the measure of the smallest side, we can set up a proportion:
38/29 = 95/x
Cross multiplying, we get:
38x = 95(29)
38x = 2755
Dividing both sides by 38, we find:
x = 2755/38
This simplifies to:
x = 72.5
Therefore, the measure of the smallest side of the similar quadrilateral is 72.5 mm.
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Puritans came to the Americas to escape religious persecution or the mistreatment or punishment of people because of their beliefs.
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To find the measure of the smallest side of the similar quadrilateral, we can use the concept of similarity.
Similar figures have proportional corresponding sides. This means that the ratio of the lengths of corresponding sides in similar figures is the same.
In this case, we have the ratio of the largest sides of the two quadrilaterals.
Let's denote the measure of the smallest side of the similar quadrilateral as x mm.
According to the given information, the largest side of the first quadrilateral is 38 mm, and the largest side of the similar quadrilateral is 95 mm.
So, we can set up the following proportion:
38 mm / 95 mm = 29 mm / x mm
To solve for x, we can cross-multiply:
38 mm * x mm = 29 mm * 95 mm
This simplifies to:
38x = 2755
Now, we can solve for x by dividing both sides of the equation by 38:
x = 2755 / 38
Using a calculator, we find that x is approximately 72.5 mm.
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 72.5 mm.