Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
If it's a geometric sequence then:
We calculate the fourth and fifth term of the sequence:
Answer:
In year 4 15.1875 animals.
In year 5 11.390625 animals.
Given:
- The product of two numbers is (-9/16).
- One of the numbers is (-4/15)
To find: The other number.
Answer:
Let's assume the unknown number to be 'x'.
(-4/15) × x = (-9/16)
× = (-9/16) ÷ (-4/15)
When we divide a fraction by another fraction, the divisor will be taken in its reciprocal form.
x = (-9/16) × (-15/4)
x = 135/64
Therefore, the other number is 135/64.
Hope it helps. :)
Think of this as (1/5)x - 4 = -75, where x is the number that we are trying to figure out. To figure this out, we want to get x by itself, so we can go:
(1/5)x=-71
x=-71*5
x=-355
So your number is -355
