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ella [17]
2 years ago
12

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square

Mathematics
1 answer:
mixer [17]2 years ago
3 0

Answer:

Prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals. Step-by-step explanation: In order to two segmets to be perpendicular, the slope of both lines must be opposite and reciprocals, having a 90° interception and forming a square.

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Can someone help me solve this?
julsineya [31]

Answer:

im sorry i cant see that

Step-by-step explanation:

8 0
3 years ago
A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
2 years ago
What is 8.275 rounded to the nearest hundredth.
miskamm [114]

Answer:

8.3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The product of a positive number and 2 more than that number is 63 find the numbers
Kobotan [32]
I really don't know how toowrk it out on paper, I'm afraid. I just looked at it, and somehow knew that the answers are 7 and 9.
6 0
2 years ago
Lord...... Help me god pleas I will be giving u guy's credit.
irinina [24]

Answer:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Step-by-step explanation:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

7 0
2 years ago
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