The answer to the question is 4.5.
Answer:
A and D
Step-by-step explanation:
3x + 2 = x + x + x + 2
2(x+1)+x = 2x + 2 + x = 3x+2
After rotating a point C 90° counterclockwise about the origin the coordinates of C' would be (-2, 1)
In this question, we have been given a triangle ABC.
A point C is at (1, 2)
The triangle is rotated counter clockwise 90° about the origin.
We need to find the coordinates of C' which is image of vertex C after rotation.
We know that, if we rotate a point 90° counterclockwise about the origin a point (x, y) becomes (-y, x).
Here C(1, 2) is rotated 90 degrees counterclockwise about the origin.
So, the coordinates of C' would be,
C' = (-2, 1)
Therefore, after rotating a point C 90° counterclockwise about the origin the coordinates of C' are (-2, 1)
Learn more about the rotation here:
brainly.com/question/2763408
#SPJ1
Sally has 600 ml of drink
Karen has 600 ml of lime juice
When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:
pineapple = 2/12
orange = 7/12
lime = 3/12
Sally has 12 parts = 600 ml of drink
. . pineapple = 2/12*600ml = 100 ml pineapple
. . orange = 7/12*600ml = 350 ml orange
. . lime = 3/12*600ml = 150 ml lime
We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink
Karen has 12 parts = 2400 ml of drink
. . pineapple = 2/12*2400ml = 400 ml pineapple
. . orange = 7/12*2400ml = 1400 ml orange
. . lime = 3/12*2400ml = 150 ml lime
Thus . . . (for Karen) . . .
<u><em>A = 2400 ml of drink</em></u>
<u><em>B = 400 ml of orange juice</em></u>
<u><em>C = 1400 ml of pineapple juice</em></u>
Answer: A) 0 triangles
============================================================
Explanation:
Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2
For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.
I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.
As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.
In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm
