Answer:
6 dimes, 26 nickels
Step-by-step explanation:
The number of nickels is N, and the number of dimes is D.
N + D = 32
5N + 10D = 190
--
N + 2D = 38
D = 6
N = 26
The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are sides not opposite to the right angle, shown as a square. C represents the hypotenuse, or side opposite of the right angle
We see that a = 14 (it can also be b; both can be plugged in as both are adjacent and not opposite of the right angle)
c = 19; hypotenuse is opposite of right angle
14^2 + b^2 = 19^2
196 + b^2 = 361
b^2 = 361 - 196
b^2 = 165
b = square root of 165
b = 12.845
x = 12.845
It's important to have an order of operations because without it then you could solve the math equation however you want. For example, using order of operations: 5+6×4=29, without using order of operations: 5+6×4=44. Without the order
operations you could solve the math equation however you want. If there was no order then there would never be a correct answer to the equation.
Hello from MrBillDoesMath!
Answer:
75
Discussion:
A plane triangle has 180 degrees. Using this in the diagram gives
x + 81 + angle BAC = 180 (***)
(The diagram is a bit fuzzy but I think the above numbers are accurate)
The diagram also shows that (156 + angle BAC )= 180 as a straight line has 180 degrees. So
angle BAC = 180 - 156 = 24
Substituting this in (***) above gives
x + 81 + 24 = 180 =>
x + 105 = 180 => (as 81 + 24 = 105)
x = 180 107 = 75
Check: Does
x + 81 + angle BAC = 180 ?
75 + 81 + 24 = 180. Yes
Thank you,
MrB