x is the 1st number, y is the 2nd number, z is the 3d number.
x+y+z = 2
x - y + z= -2
x - z = y +22 -----> x-y-z=22
x+y+z = 2
<u>x - y + z= -2</u>
2x + 2z =0
x + z = 0
x = -z
x - y + z= -2 and x = -z
-z - y + z = -2, y =2
x-y-z=22 and x = -z, and y = 2 -----> x -2 +x = 22 --->2x = 24 ----> x = 12
x= -z -----> z = - 12
The minimum value for 2x is 0
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>
<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>
<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>
<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>
<span>sin 2x = 22 (sin 34°)/30 </span>
<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>
<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>
<span>0 < x < 12.1°</span>
Answer:
$2229.27
Step-by-step explanation:
tax rate: 10.25%
tax amount: $228.50
price before tax: x
10.25% of x = $228.50
0.1025x = 228.5
x = 228.5/0.1025
x = 2229.27
Answer: $2229.27
