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Usimov [2.4K]
1 year ago
15

Which of the following completes the proof? Triangles ABC and EDC are formed from segments BD and AC, in which point C is betwee

n points B and D and point E is between points A and C. Given: Segment AC is perpendicular to segment BD Prove: ΔACB ~ ΔECD Reflect ΔECD over segment AC. This establishes that ________. Then, ________. This establishes that ∠E'D'C' ≅ ∠ABC. Therefore, ΔACB ~ ΔECD by the AA similarity postulate. ∠ABC ≅ ∠E'D'C'; translate point E' to point A ∠ACB ≅ ∠E'C'D'; translate point E' to point B ∠ACB ≅ ∠E'C'D'; translate point D' to point B ∠ABC ≅ ∠E'D'C'; translate point D' to point A
Mathematics
2 answers:
skelet666 [1.2K]1 year ago
4 0

Answer:

∠ACB ≅ ∠E'C'D'. translate point E' to point A

Step-by-step explanation:

kotykmax [81]1 year ago
3 0

Answer: ∠ACB ≅ ∠E'C'D'; translate point D' to point B

Step-by-step explanation:

That is just my best guess.

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A machine can stamp 75 caps per minute. At this rate how long will it take to stamp 3000?
Leya [2.2K]
<h2>Answer:</h2><h2>40 minutes</h2>

Step-by-step explanation:

75- caps ----------- 1 minute\\3000 caps ------------x - minutes\\\\Cross-Multiply\\75x = 3000 \times 1\\75x = 3000\\\frac{75}{75} =\frac{3000}{75} \\\\x = 40 minutes

6 0
2 years ago
Read 2 more answers
Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds
Vilka [71]

Answer:

0.6421

Step-by-step explanation:

In this case we have 3 trials and we have 2 options for each one. The driver has or hasn't been under alcohol influence. The probability that the driver has is 0.29 and the probabiility that the driver hasn't is 1 - 0.29 = 0.71

each trial is independent because we are assuming that the population of drivers in between 21 and 25 years old is very big.

The probability that one of them was under alcohol influence can be found by finding the probability that non of them was under alcohol influence because:

1 = p(x = 0) + p(x ≥ 1)

p(x ≥ 1) = 1 - p(0)

The probability that none of them was under alcohol influence is going to be:

0.71×0.71×0.71 = 0.3579

The probability of finding at least one driver that has been under alcohol influence is:

0.6421

4 0
1 year ago
in the diagram below, &lt;AFB = &lt;EFD. if m&lt;EFD = (5x+6)°, m&lt;DFC = (19x-15)°, and m&lt;EFC = (17x+19)°, find m&lt;AFE​
NeX [460]

Answer:

m<AFE​ =  128°.

Step-by-step explanation:

<u>Step 1: Find the value of x</u>

<em>Angle EFD + Angle DFC = Angle EFC</em>

5x + 6 + 19x - 15 = 17x + 19

24x - 9 = 17x + 19

7x = 28

x = 4

<u>Step 2: Find all angles</u>

<em>Angle AFB=Angle EFD= 5x + 6</em>

5(4) + 6 = 26°

Angle DFC = 19x - 15

19(4) - 15 = 61°

<u>Step 3: Find angle AFE</u>

<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>

<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>

26 + BFC + 26 = 180°

BFC = 180 - 52

BFC = 128°

<em>Therefore, m<AFE​ is equal to 128°.</em>

!!

3 0
1 year ago
Explain why there is 1/3 cup of fruit i. Half a smoothie
Darina [25.2K]
This kinda ales no sense
5 0
2 years ago
Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).
JulijaS [17]

Part A: Option e: 5(9 x+1)

           Option f: 45 x+5

Part B: Option c: 15(3 x+1)

           Option d: (5 \cdot 9 x)+(5 \cdot 3)

Part C: Option a: (5 \cdot 9 x)-(5 \cdot 3)

           Option b: 45 x-15

Explanation:

Part A: The equation is (5 \cdot 9 x)+(5 \cdot 1)

Simplifying, we have,

45x+5

Taking the term 5 common out, we have,

5(9 x+1)

Thus, the above two expressions are equivalent to the equation (5 \cdot 9 x)+(5 \cdot 1).

Hence, Option e and Option f are the correct answers.

Part B: The equation is 45 x+15

Taking the term 15 common out, we have,

15(3 x+1)

Also, the equation can be rewritten as,

(5 \cdot 9 x)+(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 45 x+15

Hence, Option c and Option d are the correct answers.

Part C: The equation is 15(3 x-1)

Multiplying, we have,

45 x-15

The above expression can be rewritten as,

(5 \cdot 9 x)-(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 15(3 x-1)

Hence, Option a and Option b are the correct answers.

3 0
1 year ago
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