Answer:
(x, y) = (25, 18)
Step-by-step explanation:
Use the angle sum theorem. You can write equations for the right angle and for the linear angle.
(x +11) +(3y) = 90 . . . . sum of angles making the right angle
(y +7) +90 +65 = 180 . . . . sum of angles making the linear angle
From the second equation, we have ...
y = 18 . . . . subtract 162
Substituting into the first equation gives ...
x + 11 + 3(18) = 90
x = 25 . . . . subtract 65
The values of x and y are 25 and 18, respectively.
_____
<em>Check</em>
VQ = 18+7 = 25
QR = 25 +11 = 36
RS = 3·18 = 54
ST = 65
The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.
The complement is 10%
<h3>How to determine the complement?</h3>
The proportion is given as:
p = 90%
The complement is calculated as:
Complement = 100% - p
This gives
Complement = 100% - 90%
Evaluate the difference
Complement = 10%
Hence, the complement is 10%
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Answer:
In step 1 she multiplied the numerators together and denominators together instead she should have done this
30*5 = 12*x
150=12x
150÷12=x
12.5=x
Answer:
17
Step-by-step explanation:
17x3=51
The z-score of the value is -0.79
<h3>How to determine the z-score of the value?</h3>
The given parameters are
Value = 86
Mean = 101
Standard deviation = 19
The z-score of the value is calculated using
z= (Value - Mean)/Standard deviation
This gives
z = (86 - 101)/19
Evaluate
z = -0.79
Hence, the z-score of the value is -0.79
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