Answer:
(x, y ) → (- y, - x )
Step-by-step explanation:
Consider the coordinates of corresponding vertices of the 2 triangles, that is
A(1, 7 ) → D(- 7, - 1 )
Note the coordinates of D are the negative reversals of A
Thus (x, y ) → (- y, - x )
Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
Answer:
x<16
Step-by-step explanation:
number<em> n
</em>
eight less than four times a number ... 4 x <em>n</em> - 8
is less than 56 ... < 56
4 x <em>n</em> - 8 < 56
4 x <em>n</em> < 56 + 8
4 x<em> n</em> < 64/4
<em>
n</em> < 64 / 4
<em>n</em> < 16
Step-by-step explanation:
There are 2 questions in one.
1)
<u>Roberta is 20 years older than Julian. In 4 years, Roberta's age will be twice Julian's age:</u>
---------------------------
2)
<u>Roberta is twice as old as David. In 10 years, Roberta will be 8 less than three times David's present age:</u>
Correct choice is A
To find the answer, you have to make a proportion. 210 out of 700, or 210/700 is equal to x/100. So, 210/700=x/100. Then to solve the proportion, you must cross multiply. 210 times 100 is 21,000. Then, you must divide 21,000 by 700, which is 30. The 30 represents 30/100, which is 30%
The answer is 30%.