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3 years ago

The midpoint of EF is M (4,10) one endpoint is E (2,6). Find the coordinates of the of the other endpoints F.

2 answers:

4 0

Midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(2,6)...x1 = 2 and y1 = 6
(x,y)...x2 = x and y2 = y
sub
(2 + x) / 2, (6 + y) / 2 = (4,10)

(2 + x) / 2 = 4
2 + x = 4 * 2
2 + x = 8
x = 8 - 2
x = 6

(6 + y)/2 = 10
6 + y = 10 * 2
6 + y = 20
y = 20 - 6
y = 14

so ur other endpoint is (6,14) <==

siniylev [52]3 years ago

4 0

Answer: Other point F ( 6 ,14).

Step-by-step explanation:

Given : The midpoint of EF is M(4, 10). One endpoint is E(2, 6).

To find : Find the coordinates of the other endpoint F.

Solution : We have given that

Line EF have mid point M ( 4 ,10)

One end point E ( 2 ,6) .

Let other point F ( )

Mid point segment formula ( M) : .

= 4

Plug = 2.

= 4

On multiplying both side by 2

2 + = 8

= 8- 2

= 6.

= 10.

Plug = 6.

= 10.

On multiplying both side by 2

6 + = 20

= 20 - 6

= 14.

Therefore, Other point F ( 6 ,14).

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A. The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio. If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
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Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

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d. The total number of lynx, mountain lions, and wolverines is 30.
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This equation means that the total number of animals together is 30, which is true. Now let's simplify by combining like terms.

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Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

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Which shapes can be drawn with two opposite angles equal to 105°

sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

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A parallelogram: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

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A rhombus: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

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