Answer:
D = 120° , E = 30° , F = 30°
Step-by-step explanation:
Let D = 4x
Let E&F = x
4x + x + × = 180°[angles in triangle is 180°]
6x = 180°
x = 180/6
x = 30°
E = 30°
F =30°
D =4(30°)
=120°
(Correct me if i am wrong)
Answer:
Step-by-step explanation:
Question 2
As far as I can see, you got it right. The general transformation for 90 ccw is
(x,y) ===> (-y, x)
What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.
The two tables are shown below.
Original
The transformed table is
- (-4,1)
- (-2,1)
- (-2,3)
- (-5,3)
- (-4,1) This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.
===========
Four
This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.
Original
- (-4,3)
- (0,3)
- (-2,0)
- (-4,3) Here again, this is just to close the figure.
The transformed figure in red I think is
- (4,-3)
- (0,-3
- (2,0)
- (4,-3) And this closes the figure as well.
==========
Six
The diagram is on the right
Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.
There is no closure.
Reflection
Answer:
The answer to your question is A) x = 1
Step-by-step explanation:
We know that f(x) = 2x + 3 and g(x) = -x + 6
But f(x) = g(x)
Then, 2x + 3 = - x + 6
2x + x = 6 - 3
3x = 3
x = 3/3
x = 1
The solution is circle in the graph below.
Step-by-step explanation:
I assume you meant :
the restaurant has 20 1/2 pounds of bananas.
one smoothie uses 1/8 pound of bananas.
how many smoothies can be made with the amount of available bananas ?
the answer is as many as the times 1/8 fit into 20 1/2.
so, we actually calculate
(20 1/2) / (1/8)
first we will convert the mixed number into a true fraction :
20 1/2 = 40/2 + 1/2 = 41/2
so we have
41/2 / 1/8
and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :
a/b / c/d = a×d / b×c
a/b / c/d = a/b × d/c = a×d / b×c
so,
41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164
they can make 164 smoothies.