Let x = Danielle, x + 5 = her sister, and .5x = her brother.
x + x + 5 + .5x = the sum of their ages.
Then we simplify to get 2.5x + 5 = the sum of their ages.
Answer:
D
Step-by-step explanation:
it is because each number is gotten by adding 12 to the previous number
Answer:
x = 14.4
Step-by-step explanation:
Similar means that the figures are proportional to each other. Because of this, we can form a problem.
(the short side lengths) =
(the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?
Step-by-step explanation:
The ratio of the two shorter legs of the top triangle is

The bottom triangle has the following ratio:

Since their ratios are the same, this means that the two triangles are similar.