Answer: ( -∞ , - 21 )
Step-by-step explanation:
Let the number be x , so from the question , we have
5(x+27) ≥ 6 ( x + 26 )
expanding , we have
5x + 135 ≥ 6x + 156
5x - 6x ≥ 156 - 135
- x ≥ 21
Therefore :
x ≤ - 21
So , the numbers less or equal to -21 are -21 ,-22 , -23 ...
so the solution set is ( - ∞ , 21 )
Answer:
54
Step-by-step explanation:
3/(1/2)=6
6x9=54 mi
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<u>Given</u>:
The given triangle QPO is a right triangle.
The length of QP is 5 units.
The length of OP is (x + 5) units.
The length of QO is (x + 6) units.
We need to determine the hypotenuse of the triangle QPO.
<u>Value of x:</u>
The value of x can be determined using the Pythagorean theorem.
Thus, we have;

Substituting the values, we get;

Expanding, we get;

Adding the like terms, we get;




Thus, the value of x is 7.
<u>Length of the hypotenuse:</u>
The hypotenuse of the triangle QPO is QO.
Substituting x = 7 in the length of QO, we get;


Thus, the length of the hypotenuse is 13 units.
Hence, Option D is the correct answer.
Answer:
78°
Step-by-step explanation:
If the Vertex of the angle is ON the circle, then the arc is double the angle. See image.
What you do is plug the z value (first column) into the formula (second column), and solve for y. For instance, the first one would be y = -1-2, or -3. The x would be the x in the ordered pair, and the final ordered pair would be (-1,-3). Make sense?