Answer:
<h2>Leah is actually wrong, because those rectangles are similar.</h2>
Step-by-step explanation:
Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.
In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.
As you can observe, both ratios are equal.
Therefore, those rectangles are congruent.
Answer:
Step-by-step explanation:
Given:
The number of men receiving degrees (in thousands)
y = 3.8x + 441
The number of women receiving degrees (in thousands)
y = 14.4x + 311
y = 14.4x + 311
y = 3.8x + 441
Solving the above equations simultaneously,
3.8x + 441 = 14.4x + 311
10.6x = 130
x = 12.24
Inputting the value of x into the initial equation to find y,
y = 3.8(12.26) + 441
= 487.6
Therefore, the point (12.26 , 487.6) will be the solution of our given equations.
Answer:
Diameter = 2 Circumference = 2π
Step-by-step explanation:
The diameter of a circle is the radius*2 and the radius of a unit circle is 1 so the diameter is 2. The circumference of a circle is the diameter*π. Since you are allowed to express it in terms of π. Just leave it at 2π, though the actual value of π is approximately 3.14
We assume you intend that cars shipped to Japan are modeled by
j(n) = 2·3^(n-1)
and that those shipped to Vietnam are modeled by
v(n) = 5 + 11·(n-1)
The value of j(n) will exceed the value of v(n) in
month 4.
Answer:
x => y
-6 => 9
3 => 5
15 => -3
-12 => 15
Step-by-step explanation:
Given the domain function, {-12, -6, 3, 15}, and the equation of the function, 
, we can complete the given table by simply plugging in the value of either x to find y, or y to find x in the table given. The domain values are all x-values you have in the table.
Find y when x = -6:
Find x when y = 5:
Find y when x = 15:
Find x when y = 15:
