Answer:
9.45
Step-by-step explanation:
6 2/6 = 6.3
1 1/2 = 1.5
6.3 * 1.5 = 9.45
9.45
<h2>Answer: Step-by-step explanation:
_____
Good evening ,
_______________ Rational numbers are_not__ natural numbers
But ,we can say:
natural numbers ARE Rational numbers. ___________________________________
:)</h2>
Answer:
C
Step-by-step explanation:
The maximum/minimum values is simply the y-value of the vertex. Since both of the functions have a negative leading coefficient, they will both have maximum values.
For Function 1, we can see that the vertex is at (4,1). Thus, it's maximum value is at y=1.
For Function 2, we need to work out the vertex. To do this we can use:
To find the vertex.
Function 2 is defined by:
Therefore:
Thus, the vertex of Function 2 is at (2,5). Therefore, the maximum value of Function 2 is y=5.
5 is greater than 1, so the maximum value of Function 2 is greater.
The answer is choice C.
Answer: Any of the following angles are <u>not</u> congruent to angle 5.
- angle 2
- angle 4
- angle 6
- angle 8
The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).
========================================================
Explanation:
Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.
Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).
Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.
Similar logic can also show that angle 6 is not congruent to angle 5.
---------------------------
An alternative path is to find all the angles that are always congruent to angle 5 and they are...
- angle 1 (corresponding angles)
- angle 3 (alternate interior angles)
- angle 7 (vertical angles)
And everything else is not congruent to angle 5.
