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solniwko [45]
3 years ago
9

Can we add or subtract when we do equivalent ratios? YES or NO

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0

Answer:

the answer is yes

Step-by-step explanation:

yes

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Justin started eating lunch at 12:23 and finish at 12:45. How many elapse time while he was eating lunch
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the answer is 22 minutes

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because when you need to add 2 to get 12:25 and then u add 20 more minutes which then gives takes u to 12:45 then add the time u added and that is the answer, 22 minutes

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It was cloudy 12 out of 30 days in April. Which value is equivalent to the fraction of
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What is the solution of a system definded by y=-x+5 and 5x+2y=14?
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The answer to the question

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The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

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