Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.
Okay. So let’s convert the 1/10 to something easier to work with. 1/10 is equivalent to 10/100. 10/100 + 8/100 = 18/100. But we can simplify that fraction by dividing by 2. When we divide the numerator and denominator by 2, the simplified fraction is 9/50. The sum is 9/50.
Answer: <em>f(x) </em>is a polynomial. The degree is 5 and the leading coeficient is -7.
Step-by-step explanation:
1. By definition a polynomial is the sum of terms that consist of a number (which is called "coefficient") that multiplies a variable with an exponent (This exponent is a whole number). Therefore, the function
is a polynomial.
2. To find the degree of the polynomial you must see the greatest exponent. In this case, this is 5. Therefore, the degree is 5.
3. The leading coefficient is the number that multiplied the variable with the greatest exponent. Therefore, the leading coefficient is -7.