Hello my daughter needs help on her homework Thi is her question
Can you work out the diameter of these new planets using the clues below?
Vesta is 10 times bigger than Athena.
Athena has half the diameter of Vulcan.
Juno is 10 times bigger than Athena.
Ceres is 100 times bigger than Vulcan.
Vulcan is 20 530km in diameter.
Apollo is 100 times bigger than Athena
I hope you all can help my daughter as me and her father is confused as well

Athena = 10,265 km

Vesta = 102,650 km

Juno = 102,650 km

Ceres = 2,053,000 km

Apollo = 1,026,500 km

Step-by-step explanation:

Athena = 20,530 / 2 = 10,256

From there, you can work out the rest by multiplying accordingly.

Hope this helps and made sense! :)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.