Answer:

Step-by-step explanation:
Scalene triangle are the triangle with no side are equal in length also each angle have different measure.
As given there are two scalene triangle, which are similar.
∴ Side of both the triangle will be propotionally equal.
Scale is given for both the triangle, which is 5:2.
We know, scale factor= ratio of the side.
Looking the option provided, we see 
As the sides of both the triangle is propotionally equal
Hence,
.
Answer:
15 : 31
Step-by-step explanation:
750 g : 1550 g ( divide both parts by 50 )
= 15 : 31 ← in simplest form
Answer:
y = -14
y = 39
Step-by-step explanation:
Answer:
f(x) = 0.25(5.25)ˣ
Step-by-step explanation:
In order to show exponential growth, the numbers must be positive and the base of the exponent must be larger than 1.
Think of it as a percentage. The base of the exponent will be the percentage of the original amount taken each time; if it is less than 1.00 then it would shrink. Larger than 1.00 will grow. The only one with positive numbers and a growth factor of greater than 1 is f(x) = 0.25(5.25)ˣ.
Answer:
Puppy Liz runs 34.61 ft.
Step-by-step explanation:
From the figure we can extract two triangles: one with angle 34° and adjacent 40ft, the other with angle 34°+23° and adjacent 40ft.
Let us call the distance from the pole to the fire hydrant
, and the distance from the pole to the bench
, then the distance
from the fire hydrant to the bench is

which is the distance the Puppy Liz runs.
Now, from trigonometry we have

and


Therefore, the distance
Puppy Liz runs is

