Answer:
n = 10
Step-by-step explanation:
The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.
For exponential functions
y=ab^x,
where
a is the scale vertical stretch factor,
b is the base, and
x the exponent (also independent variable)
It is a know fact that if the scale factor (1/2 or 2 in the answer choices) is positive, the graph is increasing if the base (3 or 1/3) is greater than 1.
This means that the base cannot be equal to 1/3. This eliminates choices 3 and 4.
Next, for a base greater than 1 (3>1), and the scale factor positive, it is a dilation (image gets bigger) if the scale factor is greater than 1. This eliminates the first choice where a=2.
This leaves us with the second choice where a=1/2, b=3, which is a shrink of the given exponential base function.
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Answer:
$
Step-by-step explanation:
Use the compound-interest formula:
Where:
FV=Future value or the ending amount
PV=Present value or the initial amount=750
n=Number of compoundings in any one year=2
t=Total number of years=4
r=interest rate=0.0425
Now, replacing the data in the equation:
$
The new coordinates of the dilated polygon would have coordinates at M'(1.6, 3.2) and N'(3.2, 4).
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Given that Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin. If point M(2, 4) and N(4, 5). The new coordinates would be at M'(1.6, 3.2) and N'(3.2, 4).
The new coordinates of the dilated polygon would have coordinates at M'(1.6, 3.2) and N'(3.2, 4).
Find out more on equation at: brainly.com/question/2972832
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