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1 month ago

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The image of ΔABC after a reflection across Line E G is ΔA'B'C'. 2 triangles are shown. A line of reflection is between the 2 tr

iangles. Line segment B B prime has a midpoint at point E. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G. Which statement is true about point F? F is the midpoint of AA' because Line E G bisects AA'. F is the midpoint of EG because AA' bisects EG. F is the midpoint of AA' because AA' bisects EG. F is the midpoint of EG because Line E G bisects AA'.

2 answers:

lawyer [12.5K]1 month ago

6 0

Answer:

Point F is the midpoint of AA' since Line E G bisects AA'

Step-by-step explanation:

babunello [11.8K]1 month ago

3 0

Answer:

A

Step-by-step explanation:

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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below:69.40

Zina [12379]

Answer:

The most likely length of the line is 69.4012 meters.

The calculated standard deviation amounts to 0.0032 meters.

Step-by-step explanation:

In the problem, the following values are provided:

69.401, 69.400, 69.402, 69.396, 69.406, 69.401, 69.396, 69.401, 69.405, 69.404

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ represent data points, $\bar{x}$ is the average, and n indicates the count of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{694.012}{10} = 69.4012$

The most likely length of the line is 69.4012 meters.

Sum of squares of differences = 0.0001016

$\sigma = \sqrt{\dfrac{0.0001016}{10}} = 0.0032$

The calculated standard deviation amounts to 0.0032 meters.

3 0

28 days ago

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Svet_ta [12734]

It's known that

When two lines are parallel, their slopes are identical.

The slope between any two points can be calculated using the following formula:

$m=\frac{y2-y1}{x2-x1}$

We will calculate the slope for each case to find the solution to the problem.

Case A) Point $B(5,2)\ C(7,-5)$

Determine the slope of BC

Insert the values into the formula:

$m=\frac{-5-2}{7-5}$

$m=\frac{-7}{2}$

$m=-3.5$

Thus,

The equation $y=-3.5x-15$ is parallel to the line that goes through the points $B(5,2)\ C(7,-5)$

Therefore,

the result for Part A) is

$B(5,2)\ C(7,-5)$ ------> $y=-3.5x-15$

Case B) Point $D(11,6)\ E(5,9)$

Calculate the slope of DE

Plug the values into the formula:

$m=\frac{9-6}{5-11}$

$m=\frac{3}{-6}$

$m=-0.5$

Thus,

The equation $y=-0.5x-3$ is parallel to the line that goes through the points $D(11,6)\ E(5,9)$

Therefore,

the result for Part B) is

$D(11,6)\ E(5,9)$ ------> $y=-0.5x-3$

Case C) Point $F(-7,12)\ G(3,-8)$

Determine the slope of FG

Insert the values into the formula:

$m=\frac{-8-12}{3+7}$

$m=\frac{-20}{10}$

$m=-2$

Thus,

Any linear equation with slope $m=-2$ will be parallel to the line through the points $F(-7,12)\ G(3,-8)$

Case D) Point $H(4,4)\ I(8,9)$

Calculate the slope of HI

Substitute the values in the formula:

$m=\frac{9-4}{8-4}$

$m=\frac{5}{4}$

$m=1.25$

Thus,

The equation $y=1.25x+4$ is parallel to the line through the points $H(4,4)\ I(8,9)$

Therefore,

the result for Part D) is

$H(4,4)\ I(8,9)$ ------> $y=1.25x+4$

Case E) Point $J(7,2)\ K(-9,8)$

Determine the slope of JK

Insert the values into the formula:

$m=\frac{8-2}{-9-7}$

$m=\frac{6}{-16}$

$m=-0.375$

Thus,

Any linear equation characterized by slope $m=-0.375$ will be parallel to the line that runs through the points $J(7,2)\ K(-9,8)$

Case F) Point $L(5,-7)\ M(4,-12)$

Find the slope of LM

Substitute the values in the formula:

$m=\frac{-12+7}{4-5}$

$m=\frac{-5}{-1}$

$m=5$

Thus,

The equation $y=5x+19$ is parallel to the line connecting the points $L(5,-7)\ M(4,-12)$

Therefore,

the result for Part F) is

$L(5,-7)\ M(4,-12)$ ------> $y=5x+19$

8 0

1 month ago

Read 2 more answers

Olga Decorat blankets with ribbon she has 12 yards of ribbon she uses 22 feet of the ribbon to decorate blankets after she decor

Svet_ta [12734]

Response:

14 feet

Detailed explanation:

<pThere are 3 feet for each yard, resulting in a total of 36 feet in 12 yards. The leftover ribbon will equal the initial amount minus what has been utilized.

36 - 22 = 14.... feet left

3 0

1 month ago

Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33.

lawyer [12517]

Answer:

$u_{n} = -2 + (n-1)5$

Step-by-step explanation:

$u_{n} = a + (n-1)d$

$u_{3} = a + (3-1)d = 8$

$u_{3} = a + 2d = 8$

$u_{8} = a + (8-1)d = 33$

$u_{8} = a + 7d = 33$

Simultaenous Equations

a + 2d = 8

a + 7d = 33

By subtracting one equation from the other

(a + 7d = 33) - (a + 2d = 8)

(a - a) + (7d - 2d) = (33 - 8)

5d = 25

d = 25/5

d = 5

Now replace d in either equation to solve for a

a + 2(5) = 8

a + 10 = 8

a = 8 - 10 = -2

a = -2

a + 7(5) = 33

a + 35 = 33

a = 33 - 35 = -2

a = -2

$u_{n} = -2 + (n-1)5$

6 0

14 days ago

Steve can wash, fold, and iron a basket of laundry in two hours and prepare a meal in one hour. His roommate Mike can wash, fo

lawyer [12517]

Steve possesses an absolute advantage in laundry while Mike holds the comparative advantage in meal preparation.

7 0

14 days ago