Answer: In a regular decagon, there are 10 lines of symmetry.
Step-by-step explanation:
Line of symmetry divides a figure into two equal halves so that if you flip the half image over the line of symmetry , the figure will look unchanged.
A regular decagon has 10 vertices and 10 edges.
To draw line of symmetry :
1.Draw lines to meet the exactly opposite point [shown by red color in the picture attached with the answer].
∴ 10 vertices will form 5 lines of symmetry.
2.Draw lines from the mid points of all the edges to the midpoint of the exactly opposite edge [shown by blue color in the picture attached with the answer].
∴ 10 edges will form 5 lines of symmetry.
⇒Total lines of symmetry in a decagon =5+5= 10
The correct answer is C, Nigel read fewer pages than Lucas, because 13 is less than 49
Let x=large boxes and y=small boxes.
x+y=110
60x+35y=5100
____________
You need to cancel out one of the variables to solve for one. Let's cancel out y.
-35(x+y=110)
-35x-35y=-3850
60x+35y=5100
____________
Add the two equations.
25x=1250
x=50
_____________
Plug in 50 for x into one of the equations to solve for y.
50+y=110
y=60
_____________
50 large boxes
60 small boxes
By law, sales tax is calculated on the discounted price of the shirts. Would the total cost of the shirts including the 6.5% sales tax be greater if the tax was applied before a 20% discount is taken, rather than after a 20% discount is taken?
Answer:
They will be the same
Step-by-step explanation:
<u>Sales tax applied before</u>
Total costs before discount = (2*$ 10.98)+$ 11.50+(2*$ 15.99)=$ 65.44
Discount of 20% will be
New price= 65.44-13.088=$52.352
Adding 6.5% sales tax we obtain
Total payment= 52.352+3.40288=55.75488
<u>Sales Tax applied after</u>
If 20% is taken after sales tax then the sales tax of 6.5 amounts to
New price= 65.44+4.2536=$ 69.6936
Then 20% discount is
Discounted price after sales tax= 69.6936-13.93872
=55.75488
Both systems come to the same value hence there's no difference
Answer:
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Step-by-step explanation:
what?