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tankabanditka [31]
3 years ago
15

Given AB//DC

Mathematics
1 answer:
____ [38]3 years ago
4 0
∠ABE is congruent to ∠DCE; we know that AB||CD, so these are alternate interior angles.
∠AEB is congruent to ∠DEC; they share only a vertex, so they are vertical angles.
The two triangles are similar due to AAA; all 3 angles are congruent so they are similar.
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Which statement is true
liberstina [14]
B is true
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8 0
3 years ago
How much will a one time investment of $1000 be when invested at 6% for 40 years and compounded annually. Round your answer to t
Vanyuwa [196]

The one time investment of $1000 would worth $10285.72  after 40 years at 6% rate of return

What is annual compounding?

Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.

The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:

FV=PV*(1+r)^N

FV=future worth of investment=unknown

PV=initial investment=$1000

r=rate of return=6%

N=number of years of investment=40

FV=$1000*(1+6%)^40

FV=$1000*1.06^40

FV=$1000* 10.2857179371259

FV=$10285.72

Find out more about future value on :brainly.com/question/24703884

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3 0
2 years ago
Read 2 more answers
Which is a solution to the equation (10–5y) = 20?​
levacccp [35]

Answer:

y = -2

Step-by-step explanation:

10 -5y = 20       { subtract 10 from both sides}

  -5y = 20 - 10

  -5y = 10          {Divide both sides by (-5) }

    y = 10/-5

y = -2

4 0
3 years ago
Read 2 more answers
The sum of 2 consecutive integers is one less than 3 times the smaller integer find the 2 integers
aalyn [17]

The two consecutive integers are 2 and 3

<em><u>Solution:</u></em>

Let x and x + 1 are the two consecutive integers

Let "x" be the smallest integer

Let "x + 1" be the larger integer

<em><u>Given that, sum of 2 consecutive integers is one less than 3 times the smaller integer</u></em>

Therefore,

sum of 2 consecutive integers = one less than 3 times the smaller integer

sum of 2 consecutive integers = 3 times the smaller integer - 1

x + x + 1 = 3(x) - 1

2x + 1 = 3x - 1

3x - 2x = 1 + 1

x = 2

Thus the smaller integer = x = 2

Larger integer = x + 1 = 2 + 1 = 3

Thus the two consecutive integers are 2 and 3

5 0
4 years ago
Can someone please help me? "what is the length of ac?"
hram777 [196]
The answer is : 8.94
3 0
3 years ago
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