Answer:
see below
Step-by-step explanation:
1. m∠DEF = m∠_FEK___ = 44° = Def. of ∠ bisector
2. m∠DEK = m∠_DEF___+m∠FEK___= _angle addition postulate________________
3. m∠DEK = _44___ + _44___ = 88° = Substitution, Algebra
4. DE = _KE____ = Given
5. EF = _FE____ = Reflexive property
6. △DEF ≅ △_KEF____ = _SAS postulate________________
7. DF = FK_____ = ___CPCTC (corresponding parts of congruent triangles are congurent)______________
8. KF = 1/2DK =8 _____ = Algebra, 7
Answer:
Let's assign the variable x to cosA. The expression then becomes x² - 5x + 6. To factorize this we need to find two numbers that have a sum of -5 and a product of 6; these numbers are -2 and -3 so the expression becomes (x - 2)(x - 3). Since we know that x = cosA the final answer is (cosA - 2)(cosA - 3).
Question 1.x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.Question 3.The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =
![\sqrt{Area}](https://tex.z-dn.net/?f=%20%5Csqrt%7BArea%7D%20)
For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option
Answer:
its B- 6 sq. cm.
Step-by-step explanation:
1/2 times base times height
1/2 x 4 x 3
6
Flip the fraction to make the -3 exponet positive then it will be 9x^5/3x^3 which the answer would then be 3x^2