All categories

3 years ago

Help! Geometry Triangle Congruence

Mathematics

1 answer:

Feliz [49]3 years ago

7 0

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

mDE = mEF (E midpoint of DF)

Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)

You might be interested in

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

3 0

4 years ago

What is the cost of six filters if eight filters cost $39.92?

Whitepunk [10]

39.92 / 8 = 4.99 per filter

for 6 filters...
6 * 4.99 = 29.94

8 0

3 years ago

Need help on math problem ! Points and brainlest

Rufina [12.5K]

Answer:

The answer is C 35+12<em>c</em> ≤ 145

Step-by-step explanation:

5 0

3 years ago

Which institution informs individuals and businesses about their rights and responsibilities?

Mama L [17]

Answer:

A. The Federal Trade Commission

Step-by-step explanation:

The FTC inaugurated its doors in March 1915. The FTC's purpose is to protect consumers and encourage contestants. The FTC cannot solve individual grievances, but it can present knowledge about what steps to exercise. The FTC states that accusations can improve it and its law implementation partners identify patterns of fraud and exploitation, which may direct to examinations and preventing unfair marketing practices.

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to 4 (x+3)?

Reika [66]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers