Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion

Then we plug in the values

and
can be simplified to
, so that is our ratio of similarity
then we know

Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
The area of the larger ttaingle is 12 cm squared
The claim made by Kyle is not entirely true and unjustifiable because for the figures or solids to be similar, not only the corresponding sides should have the finite ratio but also the corresponding angles should be equal. Although, the claim depends on the type of quadrilateral.
Mr. Zelman gave 400 books to his nephew
<em><u>Solution:</u></em>
Given that, Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex
Mr. Zelman has 800 comic books
Number of books with Zelman = 800
Mr. Zelman wants to give 50% of books to Alex
Number of books given to nephew = 50 % of books of Zelman
Therefore, we have to find 50 % of 800


Thus he gave 400 books to his nephew