Answer:
x = <u><em>8</em></u>
The missing measures are <em><u>85</u></em> degrees
Step-by-step explanation:
Since 9x + 13 and 11x - 3 are on opposite sides, they are equal, so
9x + 13 = 11x - 3
Subtract 13 from both sides:
9x = 11x - 16
Subtract 11x from both sides:
-2x = -16
Divide both sides by -2:
x = 8
The angle measures are
9(8) + 13 = 72 + 13 = 85
11(8) - 3 = 88 - 3 = 85
The given equations in this item are,
x² - y² =25
and
x + y = 25
It can be deduced that the first equation is a difference of two squares and can be factored out as that one shown below.
(x - y)(x + y) = 25
From the second equation, x+y = 25. Substituting this to the equation above,
(x-y)(25) = 25
Hence, x - y = 1
The system of linear equations is,
x + y = 25
x - y = 1
Adding the equations together,
2x = 26
x = 13
The value of y is 12.
Since both x and y are positive values then, this solution lies in the first quadrant.
ANSWER: (13,12)
Expected number of wins=number of plays times the probability of winning
w=20(14.5/100)
w=20(0.145)
w=2.9
w≈3
So you would expect to win 3 times out of 20 attempts (rounded to the nearest whole number of wins)
It’s 42 if you need work tell me