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Ilia_Sergeevich [38]
3 years ago
6

Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

See Below.

Step-by-step explanation:

<u>Statements</u>                                                       <u>Reasons: </u>

<u />1)\text{ } AC\cong DC                                                      Given

2)\text{ } \angle B\cong \angle D                                                      Given

3)\angle BCA \cong \angle ECD                                            Vertical Angles are Congruent

4)\text{ } \Delta ACB\cong \Delta DCE                                          AAS Congruence

5)\text{ } AB\cong DE                                                      CPCTC

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Yertle the turtle and his 362 turtle buddies went swimming in 3 different ponds. if the same number of turtles swim in each pond
konstantin123 [22]
There are 363 turtles (including yertle) 
there are 3 different ponds and the same # in each pond. you simply divide the number of turtles by 3 because there are 3 different ponds. 

363/3=121 
there 121 turtles in each pond 
8 0
2 years ago
What is the area of triangle EDF?
Ann [662]

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

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So the area is 4.5

6 0
2 years ago
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Likurg_2 [28]

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4 0
3 years ago
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $
Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

5 0
3 years ago
Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Al
cluponka [151]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
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