angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
What in mathematics is a parallelogram?
- A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).
- A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
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The expression that represents the value of z is ![\sqrt[3]{3 + i\sqrt 3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%20%2B%20i%5Csqrt%203%20%7D)
<h3>What are complex numbers?</h3>
Complex numbers are numbers that have real and imaginary parts
A complex number (n) is represented as:

From the above expression, we have:
- a represents the real part
- bi represents the imaginary part
Given that:

Rewrite the above expression as:

Take the cube roots of both sides
![z = \sqrt[3]{3 + i\sqrt 3 }](https://tex.z-dn.net/?f=z%20%3D%20%5Csqrt%5B3%5D%7B3%20%2B%20i%5Csqrt%203%20%7D)
The letters are not given.
Hence, the expression that represents the value of z is ![\sqrt[3]{3 + i\sqrt 3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%20%2B%20i%5Csqrt%203%20%7D)
Read more about complex numbers at:
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Answer:
<em>There are approximately 114 rabbits in the year 10</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given two measurements of the population of rabbits on an island.
In year 1, there are 50 rabbits. This is the point (1,50)
In year 5, there are 72 rabbits. This is the point (5,72)
Substituting in the general model, we have:

![50=P_o(1+r)\qquad\qquad[1]](https://tex.z-dn.net/?f=50%3DP_o%281%2Br%29%5Cqquad%5Cqquad%5B1%5D)
![72=P_o(1+r)^5\qquad\qquad[2]](https://tex.z-dn.net/?f=72%3DP_o%281%2Br%29%5E5%5Cqquad%5Cqquad%5B2%5D)
Dividing [2] by [1]:

Solving for r:
![\displaystyle r=\sqrt[4]{\frac{72}{50}}-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B72%7D%7B50%7D%7D-1)
Calculating:
r=0.095445
From [1], solve for Po:



The model can be written now as:

In year t=10, the population of rabbits is:

P = 113.6

There are approximately 114 rabbits in the year 10
Hi there!
The key in the question is "divide". Therefore, we divide 5 by 3
5/3=1.6 pounds
I don't think any of these are right.
For me, this is a strange question...
Any two circles are similar.
Step-by-step explanation:
<em>When two figures are similar, they have the same shape, and the ratios of the lengths of their corresponding sides (segments) are equal.</em>
Two circles have the same shape.
The radiuses are corresponding segments and the diameters are corresponding segments. The ratio of lengths radiuses and diameters are equal.
If you want calculate it, then.
Circle A: r₁ = 5, d₁ = (2)(5) = 10
Circle B: r₂ = 15, d₂ = (2)(15) = 30
r₂/r₁ = 15/5 = 3
d₂/d₁ = 30/10 = 3
r₂/r₁ = d₂/d₁