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>
One thousandths. make sure you add the ths because it is a decimal
The number is 999777888.
S<u>tep-by-step explanation:</u>
Reaching to the answer by solving the clues one by one.
The number is a 9 digit whole number. So it has to be 0 or greater than 0
The number is even .So its last digit will be even.
Each of the digit appears exactly thrice. So there will be three digits used three times each in the number.
Each digit is greater than 6. So there will be no digits less than 7 in the number.
All the digits in each period are same. So a period of three adjacent digits will have same the same digit.for ex.777 is a period
The number is greater than 7. So the digit in the millions place and higher is 9.
The number is divisible by 3. So the sum of all the digits should be divisible by 3.
The number is divisible by 4. So the number formed by last two digits of the number should be divisible by 4.
Thousands digit is 7.
The number that satisfies all the given conditions is 999777888.
C. multiply the second equation by two. Then add the equations
