Jose can eat more doghnuts because austin eats 3 a minute and jose eats 2 at a time
Answer:
use the symmetric and transitive properties of congruence
Step-by-step explanation:
(1) ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF; given
(2) ∠DEF ≅ ∠GHI; symmetric property of congruence
(3) ∠ABC ≅ ∠GHI; transitive property of congruence (QED)
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<em>Additional comment</em>
The transitive property says if A≅B and B≅C, then A≅C. We used the symmetric property to swap sides of the congruence symbol with DEF and GHI to put the statement in the form to match the transitive property.
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You will note we used the form ...
(statement number) statement; reason
with statement and reason separated by a semicolon.
Part A:
The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).
Part B:
The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.
Part C:
As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.
Part D:
From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
there are 64 ways to rearrange books on a shelf
