Step-by-step explanation:
1. If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.
2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.
3. In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.
4. In triangles PRS and PQS, all three angles are equal.
P(x) = 12x – 180
Given:
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function C(x) = 180 +
8x
The revenue earned from selling x bracelets is represented by the function
R(x) = 20x.
Explanation of terms:
For x bracelets,
Cost of production is C(x); C(x) = 180 + 8x
Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown
Profit made = Revenue earned – Cost of production
∴ P(x) = R(x) – C(x)
P(x) = 20x – (180 + 8x)
P(x) = 20x – 180 – 8x
P(x) = 12x – 180
The profit made from selling x bracelets is represented by the function
<em> P(x) = 12x – 180</em>
Rotation and reflection are instances of transformation
See attachment for the new position of 
From the question, we have:
The rule of 90 degrees clockwise rotation is:
Using the above transformation, the new points would be
The next transformation is reflection over the x-axis
The rule of this transformation is:
So, the new points would be:
See attachment for the new points
Read more about transformation at:
brainly.com/question/11709244
Answer:
? = 4.28
Step-by-step explanation:
We know that tan theta = opp side / adjacent side
tan 35 = 3 / ?
Multiply each side by ?
? tan 35 = 3
Divide each side by tan 35
? = 3/tan 35
?= 4.28444402
To the nearest hundredth
? = 4.28
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