The kind of transformation the quadrilateral underwent is 180° rotation about the origin and the new vertex of Q is (4,5).
<h3>What is transformation of plane shapes?</h3>
Transformation is the change in the coordinates of the vertices that make up a plane shape.
This can be done either by translation, reflection or rotation.
Analysis:
since the x and y coordinates of P is the opposite of the coordinates of p' then there is a 180° rotation about the origin.
If vertex Q is (-4, -5), then Q' is the opposite which is (4, 5 )
In conclusion, the transformation is a 180° rotation and the coordinates of Q' are (4, 5).
Learn more about transformation: brainly.com/question/4289712
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Answer:
$1,149.75
Step-by-step explanation:
We can start this problem off by organizing the monthly and the annual expenses.
<u>Monthly:</u>
$725 - Condominium
$125 - Maintenance Work
<u>Annual:</u>
$468 - Insurance
$129 - Lost Interest
$3,000 - Utility Bills
Since we are solving for the average monthly expense, we should deal with the annual expenses first by dividing them all by 12 since there are 12 months.
Now, we simply add 299.75 to the monthly expenses to get our answer.
The average monthly expense is $1,149.75.
If Each side of an equilateral triangle<span> is 10 m. ... Thus </span>triangle<span> APC is a right</span>triangle<span>. The length of CA is 10 m, and the length of PC is 5 m, and hence you can use Pythagoras' theorem to find the length of AP, which </span>is the height<span> of the </span>triangle<span>ABC.
</span>If Each side of an equilateral triangle<span> is 10 m. ... Thus </span>triangle<span> APC is a right</span>triangle<span>. The length of CA is 10 m, and the length of PC is 5 m, and hence you can use Pythagoras' theorem to find the length of AP, which </span>is the height<span> of the </span>triangleABC.
Step-by-step explanation:
According to phythagorous theorem
c²= 8²+6²
= c²=64+36
= c²=100
= c= \/100
c = 10 mm
