Use A Calculator. They are Good Espically those chocolated smelled ones. :)
Answer:
The area of the smaller triangle is 75.
Step-by-step explanation:
Here, the ratio of the sides of the similar triangle are 5 : 6
The area if the larger triangle = 108
let us assume that the area of the smaller triangle = m
By the Theorem:
In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.
Similarly, here
= \frac{m}{108}[/tex]
⇒
or, ![\frac{25}{36} = \frac{m}{108} \implies m = \frac{108 \times 25}{36} = 75](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B36%7D%20%20%20%3D%20%5Cfrac%7Bm%7D%7B108%7D%20%20%5Cimplies%20m%20%3D%20%5Cfrac%7B108%20%5Ctimes%2025%7D%7B36%7D%20%20%3D%2075)
⇒ m = 75
Hence, the area of the smaller triangle is 75.
Answer:
P' (- 7, - 5 )
Step-by-step explanation:
A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus
P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(- 7, 5 ) → P'(- 7, - 5 )
-1 - (-7) = 6
5 - (-1) = 6
11 - 5 = 6
The common difference is 6.
If you add 6 to a term, you get the next term.
![a_0 = -7](https://tex.z-dn.net/?f=%20a_0%20%3D%20-7%20)