Answer:
D
Step-by-step explanation:
Congruent means the same. Translating it just moves it somewhere else.
Answer:
The slope of the line must be 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
we know that
The volume of a rectangular prism is equal to
----> equation A
where
B is the area of the base of the prism
h is the height of the rectangular prism
step 2
The volume of a square pyramid is equal to
-----> equation B
where
B is the area of the square base of pyramid
h is the height of the pyramid
step 3
substitute equation A in equation B

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

therefore
The slope of the line must be 3
let's check it
To solve for the slope of the line, you must choose two coordinates first and use the formula

Choosing the points (2,6) and (3,9)
substitute
----> is correct
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:
brainly.com/question/11089283