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kakasveta [241]
3 years ago
6

Help me! How to do number 2?

Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Answer:look closely

Step-by-step explanation:

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The diagonals of quadrilateral ABCD intersect at E (2,5). ABCD has vertices at A (3,7) and B (3,6). What must be the coordinates
Ivahew [28]

Answer:

C(1,3) and D(1,4).

Step-by-step explanation:

The given quadrilateral ABCD has vertices at A (3,7) and B (3,6). The diagonals of  this quadrilateral ABCD intersect at E (2,5).

Recall that, the diagonals of a parallelogram bisects each other.

This means that; E(2,5) is the midpoint of each diagonal.

Let C and D have coordinates C(m,n) and D(s,t)

Using the midpoint rule:

(\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})

The midpoint of AC is (\frac{m+3}{2}, \frac{n+7}{2})=(2,5)

This implies that;

(\frac{m+3}{2}=2, \frac{n+7}{2}=5)

(m+3=4, n+7=10)

(m=4-3, n=10-7)

(m=1, n=3)

The midpoint of BD is (\frac{m+3}{2}, \frac{n+7}{2})=(2,5)

This implies that;

(\frac{s+3}{2}=2, \frac{t+6}{2}=5)

(s+3=4, t+6=10)

(s=4-3, t=10-6)

(s=1, t=4)

Therefore the coordinates of C are (1,3) and D(1,4).

6 0
4 years ago
The perimeters of the rectangle shown are equal. what is the perimeter of each rectangle.​
Svetradugi [14.3K]

Answer:

3.2 units

Step-by-step explanation:

Since the perimeters of the rectangles are equal:

n + n + 0.6 = n +0.1 + 2n

2n + 0.6 = 3n + 0.1

0.5 = n

Left Rectangle:

2 (0.5 + 0.5 + 0.6) = 3.2 units

Since they have the same perimeter, the rectangle on the right also has a perimeter of 3.2 units.

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B. Add 8 to both sides
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There’s literally no actual question so how could we help?
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