Answer: Yes, she could be considered similar to herself at 6 months of age.
In mathematics, the concept of similarity is about proportion relationships. In this problem, we are discussing the relationships between age, height and diameter. We are not discussing the absolute value of the numbers themselves.
For example in Geometry, a very small triangle can be similar to a very large triangle if all the angles of the triangle are congruent. The size doesn't matter.
Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.
Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.
Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.
Have an awesome day! :)
Step-by-step explanation:
7x + 3 = 38
7x + 3 - 3 = 38 - 3
7x = 35
x = 5