Step-by-step explanation:
angle MRP
angle PRS=angle RPN (alternate angles)
2x+x+x+78°=180°(sum of angles of a triangle)
4x+78°=180°
4x=180°-78°
4x=102°
4x/4=102°/4
x=25.5
The mark up percentage of each order is 400%
<h3>How to determine the percentage mark up?</h3>
The given parameters are:
Cost price = $4
Selling price = $20
The mark up percentage is calculated as:
Mark up percentage = (Selling price - Cost price)/Cost price * 100%
Substitute the known values in the above equation
Mark up percentage = ($20 - $4)/$4 * 100%
Evaluate the difference
Mark up percentage = $16/$4 * 100%
Evaluate the quotient
Mark up percentage = 4 * 100%
This gives
Mark up percentage = 400%
Hence, the mark up percentage of each order is 400%
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Answer:
the second one........the shape of the conic section os circle
Answer:
This system has no points of intersection.
Step-by-step explanation:
The lines are parallel, so they don't intersect.
I graphed the equations below to show you how they are parallel.
3x + 8(x + 9) = -5
3x + 8x + 72 = -5
11x + 72 = -5
11x + 72 - 72 = -5 - 72
11x = -77
11x/11 = -77/11
x = -7
All you have to do for this equation is to substitute the y in the second equation with what y equals to. Then you distribute and combine like-terms.