Answer:
2.236
Step-by-step explanation:
you could estimate it to be between 2 and 3 (because 5 is between 4 and 9)
or you just put it into a calculator
Step-by-step explanation:
7.3 when rounded to the nearest tenth
Draw a triangle on your paper and extend the base of the triangle so it extends past the base angle. The base angle inside the triangle is the interior angle and the one outside the triangle between the extended line and the outside of the interior angle is the exterior angle. A straight line has a measure of 180 degrees. That means that the interior angle + the exterior angle = 180. So they are supplementary by definition of supplementary angles. A is the only choice above that applies.
A 270° counterclockwise rotation leads to this transformation:
(x,y) → (y, - x)
So, we have
original point new point
J (-6,2) → J' (2,6)
K (-4,6) → K' (6,4)
L (-3,3) → L' (3,3)
M (-5,-1) → M' (-1,5)
So, you have the points J', K', L', and M' that define the new parallelogram.
Answer: The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).
9514 1404 393
Answer:
121/14 or 8 9/14
Step-by-step explanation:
The quotient of 1/8 and 1/4 is ...
(1/8)/(1/4) = (1/8)(4/1) = 4/8 = 1/2
The product of 2 2/3 and 3 3/7 is ...
(2 2/3)(3 3/7) = (8/3)(24/7) = (8·24)/(3·7) = 64/7
Subtracting the first result from the second gives ...
64/7 -1/2 = (128 -7)/14 = 121/14 = 8 9/14
_____
<em>Additional comment</em>
When subtracting fractions with denominators that have no common factors, I find it useful to make use of the formula ...
In this case, that gives us (64·2 -7·1)/(7·2) = (128 -7)/14.
