The polygons are similar.
This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below
35/28 = 1.25
25/20 = 1.25
(15.5)/(12.4) = 1.25
So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.
You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.
After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.
Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.
Answer:
lol
Step-by-step explanation:
Answer:
<u>Kevin's height increased 19.05%</u>
Step-by-step explanation:
Height of Kevin at the beginning of sixth grade = 4’10”
Height of Kevin at the end of ninth grade = 5’9”
What was the percentage of increase in Kevin height?
For answering this question, we should convert Kevin's heights to decimal number, this way:
1 feet = 12 inches
4’10” = 4 10/12 = 4.83
5’9” = 5 9/12 = 5.75
Now, let's use the Direct Rule of Three:
Height Percentage
4.83 100
5.75 x
***********************************
4.83x = 5.75 * 100
4.83x = 575
x = 575/4.83
x = 119.05
119.05 - 100 = 19.05
<u>Kevin's height increased 19.05%</u>
Answer:
180.4 inches (15.033 feet)
Step-by-step explanation:
To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.
