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Usimov [2.4K]
2 years 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]2 years ago
4 0

Answer:

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

Step-by-step explanation:

kotykmax [81]2 years 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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Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
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Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

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We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
2 years ago
5x680 in the Distributive property
AysviL [449]
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5 0
2 years ago
Write the equation 6561 1/4= 9 in logarithmic form.
Vlad1618 [11]

Answer:

  b. log6561(9) = 1/4

Step-by-step explanation:

The relationship between the exponential form and the log form is ...

  b^n=x\\\log_b{(x)}=n

The exponent is the logarithm. The base is the value the exponent is being applied to.

Here, you have ...

  6561^{\frac{1}{4}}=9

Comparing this to the form above, we see ...

  b = 6561, n = 1/4, x = 9

so the log form of the equation is ...

  \boxed{\log_{6561}{(9)}=\frac{1}{4}}

This matches choice B.

8 0
2 years ago
The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
Andru [333]
It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.
7 0
2 years ago
Read 2 more answers
A triathlon includes a .5 km swim, 40 km bike, and a 10 km run. Mr. B completed the swim in 25 minutes and 10 seconds, and the b
Dmitry_Shevchenko [17]

Answer:

3.33 meters per second

Step-by-step explanation:

you must find the total time that Mr. B spent to complete the swim and bike.

Information:

0h 25' 10'' ---------> Swim

1h 30' 50'' ---------> Bike

hours = 0 + 1 = 1\\minutes = 25+30 = 55\\seconds = 10+50=60\\

he spent 1h 55' 60'', this is 1h 56'.

now you must substract this time from the record time to find the time alloted to run:

first you convert both times into minutes:

record \ time = 2(60) + 46 = 166 \ minutes \ \ \ \ multiply \ hours \ by \ 60 \ minutes\\time\ swim \ and \ bike = 1(60) + 56 = 116 \ minutes\\

now substracting:

time \ to \ run \ = record \ time \ - \ time \ swim \ and \ bike\\time \ to \ run \ = 166 - 116 = 50 \ minutes

so he must travel 10 km in 50 minutes, that is:

speed = distance/time

speed = \frac{10}{50} \frac{km}{min}

1 km is equal to 1000 meters and 1 minute is equal to 60 seconds.

speed = \frac{(10)}{(50)}\frac{(1000) meters}{(60) sec}\\\\speed = \frac{(10000)}{(3000)}\frac{meters}{sec} \ \ \ \ \ \ \ \ \ multiply \\\\speed = 3.33 \ meters/sec

so Mr.B's speed must be 3.33 meters/sec

8 0
2 years ago
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