Answer:
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles <em>inside</em> a triangle add up to 180°.
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Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°
Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)
Ask in the comments below if you are not sure about something.
I hope that helps you! :D
Answer:
wdwd
Step-by-step explanation:
Hi there!
Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.
2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16
Now that we know what x is, we can plug that in for x in the equation for ZY.
2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units
And here is the work to show that XZ is also 16.
1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer: $3,400
Step-by-step explanation:
There are 400 seats in the auditorium which means that there are 400 tickets to be sold.
85% of these tickets are sold. The number of tickets sold is:
= 85% * 400
= 340 tickets were sold.
Each ticket sells for a total of $10.
The amount of money made from ticket sales is therefore:
= No. of tickets sold * price of ticket
= 340 * 10
= $3,400
Divide 3/4 by 1/8 and you should get 6 hurdles.
