Answer:
Step-by-step explanation:
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin
- Incorrect. It would work with 180-degree rotation.
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down
- Incorrect. It would work with the translation 5 units up.
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Equivalent equations are equations that have the same value
The equation in logarithmic form is 
<h3>How to rewrite the equation</h3>
The expression is given as:

Take the logarithm of both sides

Apply the power rule of logarithm

Divide both sides by log(10)

Apply change of base rule

Divide both sides by 2

Rewrite as:

Hence, the equation in logarithmic form is 
Read more about logarithms at:
brainly.com/question/25710806
The answer to 8 + 11 is 19
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

If we know that
and
, then:


The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:


If we know that
and
, then:


The length of BC is 51 units.
Step-by-step explanation:
Co interior angles' sum is 180°