What grade are you in so I know what level you are on to help
Answer:
Hence the area of each of the triangles are:
49 cm^2 and 16 cm^2.
Step-by-step explanation:
If the two triangles are similar; the perimeters of the two triangles are in the same ratio as the sides.
We are given that the ratio of the perimeters of two similar triangles is 4:7.
Let a and b denotes perimeter of two triangles.
i.e. here a:b=4:7.
Let A and B denote the area of two triangles.
also we know that for two similar triangles;
Hence,
Also the sum of their areas is 65 cm^2.
i.e.
on putting equation (2) in equation (1) we have:
49(65-B)=16B
49×65-49B=16B
49×65=49B+16B
49×65=65B
B=49 cm^2
Hence by equation (2) we have:
A=65-B
A=65-49=16 cm^2.
Hence the area of each of the triangles are:
49 cm^2 and 16 cm^2.
Answer:
- domain: {4, 7, 10, 13, 16}
- range: {3, 6, 9}
Step-by-step explanation:
The domain is the list of first numbers of the ordered pairs: {4, 7, 10, 13, 16}.
The range is the list of second numbers of the ordered pairs: {3, 6, 9, 6, 9}. The numbers only need to be listed once, so we can write the range as ...
{3, 6, 9}.